CN115740493A - Finite element simulation method for selective electron beam melting temperature field and stress field - Google Patents
Finite element simulation method for selective electron beam melting temperature field and stress field Download PDFInfo
- Publication number
- CN115740493A CN115740493A CN202211347875.XA CN202211347875A CN115740493A CN 115740493 A CN115740493 A CN 115740493A CN 202211347875 A CN202211347875 A CN 202211347875A CN 115740493 A CN115740493 A CN 115740493A
- Authority
- CN
- China
- Prior art keywords
- stress
- electron beam
- powder
- substrate
- calculation model
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 64
- 238000010894 electron beam technology Methods 0.000 title claims abstract description 57
- 238000002844 melting Methods 0.000 title claims abstract description 37
- 230000008018 melting Effects 0.000 title claims abstract description 37
- 238000004088 simulation Methods 0.000 title claims abstract description 20
- 239000000843 powder Substances 0.000 claims abstract description 89
- 239000000463 material Substances 0.000 claims abstract description 47
- 230000008569 process Effects 0.000 claims abstract description 30
- 238000004364 calculation method Methods 0.000 claims description 52
- 239000000758 substrate Substances 0.000 claims description 45
- 238000012546 transfer Methods 0.000 claims description 32
- 229910052751 metal Inorganic materials 0.000 claims description 20
- 239000002184 metal Substances 0.000 claims description 20
- 238000009826 distribution Methods 0.000 claims description 19
- 230000008859 change Effects 0.000 claims description 18
- 239000011343 solid material Substances 0.000 claims description 15
- 239000007787 solid Substances 0.000 claims description 13
- 238000007711 solidification Methods 0.000 claims description 10
- 230000008023 solidification Effects 0.000 claims description 10
- 230000005855 radiation Effects 0.000 claims description 5
- 230000007704 transition Effects 0.000 claims description 5
- 230000017525 heat dissipation Effects 0.000 claims description 4
- 238000004458 analytical method Methods 0.000 claims description 2
- 230000003068 static effect Effects 0.000 claims description 2
- 102100021503 ATP-binding cassette sub-family B member 6 Human genes 0.000 claims 1
- 101000677883 Homo sapiens ATP-binding cassette sub-family B member 6 Proteins 0.000 claims 1
- 230000003213 activating effect Effects 0.000 claims 1
- 238000010309 melting process Methods 0.000 abstract description 9
- 230000008878 coupling Effects 0.000 abstract description 4
- 238000010168 coupling process Methods 0.000 abstract description 4
- 238000005859 coupling reaction Methods 0.000 abstract description 4
- 230000000704 physical effect Effects 0.000 abstract description 4
- 239000007769 metal material Substances 0.000 abstract description 2
- 239000010410 layer Substances 0.000 description 63
- WFKWXMTUELFFGS-UHFFFAOYSA-N tungsten Chemical compound [W] WFKWXMTUELFFGS-UHFFFAOYSA-N 0.000 description 11
- 229910052721 tungsten Inorganic materials 0.000 description 9
- 239000010937 tungsten Substances 0.000 description 9
- 239000000654 additive Substances 0.000 description 8
- 230000000996 additive effect Effects 0.000 description 8
- 238000004519 manufacturing process Methods 0.000 description 8
- 230000007480 spreading Effects 0.000 description 6
- 238000003892 spreading Methods 0.000 description 6
- 238000005516 engineering process Methods 0.000 description 5
- 238000001816 cooling Methods 0.000 description 4
- 230000006870 function Effects 0.000 description 4
- 239000002356 single layer Substances 0.000 description 4
- 238000011161 development Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 230000000694 effects Effects 0.000 description 3
- 238000002474 experimental method Methods 0.000 description 3
- 230000004907 flux Effects 0.000 description 3
- 238000011160 research Methods 0.000 description 3
- 238000010521 absorption reaction Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000008901 benefit Effects 0.000 description 2
- 239000011229 interlayer Substances 0.000 description 2
- 239000007788 liquid Substances 0.000 description 2
- 230000007246 mechanism Effects 0.000 description 2
- 238000000110 selective laser sintering Methods 0.000 description 2
- 230000001052 transient effect Effects 0.000 description 2
- 230000009471 action Effects 0.000 description 1
- 230000004913 activation Effects 0.000 description 1
- 239000011248 coating agent Substances 0.000 description 1
- 238000000576 coating method Methods 0.000 description 1
- 238000011960 computer-aided design Methods 0.000 description 1
- 238000005336 cracking Methods 0.000 description 1
- 238000013480 data collection Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 230000010259 detection of temperature stimulus Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 238000002360 preparation method Methods 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 238000007493 shaping process Methods 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 230000000930 thermomechanical effect Effects 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
Images
Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P10/00—Technologies related to metal processing
- Y02P10/25—Process efficiency
Landscapes
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
Description
技术领域technical field
本发明涉及金属增材制造过程的有限元模拟领域,具体为一种电子束选区熔化温度场和应力场的有限元模拟方法。The invention relates to the field of finite element simulation of metal additive manufacturing process, in particular to a finite element simulation method of electron beam selective melting temperature field and stress field.
背景技术Background technique
近年来快速发展的增材制造技术以计算机辅助设计为基础,根据零件的数字模型文件逐层累加成形,这为制备复杂零件提供了契机。经过近几十年的探索,已经出现了适用于各种场合的增材制造技术,以金属粉末床增材制造为例,其代表性工艺有:激光选区烧结(Selective Laser Sintering,SLS)、激光选区熔化(Selective Laser Melting,SLM)和电子束选区熔化(Selective Electron Beam Melting,SEBM)等。SEBM由于具有能量密度大、能量吸收率高、扫描速度快、残余应力低、粉末重复使用等优势,迅速从众多技术中脱颖而出,成为目前最有潜力的金属增材制造技术之一。但其成形过程中也存在着诸多问题,如瞬时温度高、温度变化快、数据收集不易等使得通过实验研究该过程中的动态温度、应力分布难度较大,而生产的零件最终精度、表面质量、性能与金属增材制造工艺包括热源温度、热源运动速度和材料属性等参数有着密不可分的关系。在实验研究代价高昂且效率较低的情况下,数值模拟成为目前研究SEBM 成形过程中温度分布和应力演变较为合适和有效的手段,它可直接有效地获取成形过程中的瞬态温度分布和应力分布情况,为揭示SEBM成形的内在机理和工艺试验研究提供指导,在金属增材制造过程中温度、应力演变的监测检测及零件质量的改进优化方面有着重要意义。The rapid development of additive manufacturing technology in recent years is based on computer-aided design, and it is formed layer by layer according to the digital model file of the part, which provides an opportunity for the preparation of complex parts. After decades of exploration, additive manufacturing technologies suitable for various occasions have emerged. Taking metal powder bed additive manufacturing as an example, the representative processes include: selective laser sintering (Selective Laser Sintering, SLS), laser Selective Laser Melting (SLM) and Electron Beam Melting (Selective Electron Beam Melting, SEBM), etc. Due to its advantages such as high energy density, high energy absorption rate, fast scanning speed, low residual stress, and powder reusability, SEBM quickly stands out from many technologies and has become one of the most potential metal additive manufacturing technologies at present. However, there are many problems in the forming process, such as high instantaneous temperature, rapid temperature change, and difficult data collection, which make it difficult to study the dynamic temperature and stress distribution in the process through experiments, and the final precision and surface quality of the produced parts There is an inseparable relationship between performance and metal additive manufacturing process parameters including heat source temperature, heat source movement speed and material properties. In the case of high cost and low efficiency of experimental research, numerical simulation has become a more suitable and effective means to study the temperature distribution and stress evolution in the SEBM forming process. It can directly and effectively obtain the transient temperature distribution and stress during the forming process. The distribution provides guidance for revealing the inner mechanism of SEBM forming and process test research, and is of great significance in the monitoring and detection of temperature and stress evolution in the metal additive manufacturing process and the improvement and optimization of part quality.
然而借助有限元软件模拟上述过程主要面临着三大技术难点:逐层铺粉、热源移动和材料物性参数切换。逐层铺粉普遍采用单元激活法,或称生死单元技术;热源移动通常以编写用户子程序DFLUX来实现;这两者在有限元软件中不难实现,因此大量的研究中都能找到相关报道。涉及材料物性参数切换的难度较大。物性参数是模拟金属增材制造过程中的温度和应力分布情况中一个重要的、难以忽视的因素之一,包含热物性参数如热导率、比热容、密度等和力学参数如热膨胀系数、屈服强度、泊松比和弹性模量等,一般都会随着温度的变化发生非线性变化。另外,物性参数也会受到材料状态的影响,比如粉末材料与实体材料在内部传热机制、刚度和强度上有很大差别,这些参数会直接影响计算结果。然而,目前研究人员采用的有限元方法模拟SEBM成形过程,仅限于定常或随温度变化的实体材料的物性参数,很少考虑到粉末的影响,这将无法准确反映电子束成形单层多道以及多层多道时的热效应并且影响到后期对残余应力的预测。However, simulating the above process with the help of finite element software mainly faces three technical difficulties: layer-by-layer powder spreading, heat source movement, and material physical parameter switching. The unit activation method, or life-death unit technology, is commonly used to spread the powder layer by layer; the heat source movement is usually realized by writing the user subroutine DFLUX; the two are not difficult to implement in the finite element software, so a large number of studies can find related reports . It is more difficult to switch the parameters of material properties. Physical parameters are one of the important and difficult to ignore factors in simulating the temperature and stress distribution in the metal additive manufacturing process, including thermal physical parameters such as thermal conductivity, specific heat capacity, density, etc. and mechanical parameters such as thermal expansion coefficient and yield strength , Poisson's ratio and modulus of elasticity, etc., generally change nonlinearly with the change of temperature. In addition, the physical parameters will also be affected by the state of the material. For example, the internal heat transfer mechanism, stiffness and strength of powder materials and solid materials are very different. These parameters will directly affect the calculation results. However, the finite element method currently used by researchers to simulate the SEBM forming process is limited to the physical parameters of solid materials that are constant or temperature-varying, and rarely considers the influence of powder, which will not accurately reflect the single-layer multi-pass and electron beam forming. The thermal effect of multi-layer and multi-pass also affects the prediction of residual stress in the later stage.
发明内容Contents of the invention
针对现有技术中存在的问题,本发明提供了一种电子束选区熔化温度场和应力场的有限元模拟方法,实现温度场和应力场的预测,可以降低通过实验试错探索其工艺参数的资金成本和时间成本。Aiming at the problems existing in the prior art, the present invention provides a finite element simulation method of electron beam selective melting temperature field and stress field, realizes the prediction of temperature field and stress field, and can reduce the cost of exploring its process parameters through trial and error. capital cost and time cost.
本发明是通过以下技术方案来实现:The present invention is achieved through the following technical solutions:
一种电子束选区熔化温度场及应力场的有限元模拟方法,包括以下步骤:A finite element simulation method for electron beam selective melting temperature field and stress field, comprising the following steps:
步骤1、建立金属电子束选区熔化的三维传热计算模型,建立与三维传热计算模型关联的用于实现粉末到固体材料热物性参数切换的UMATHT子程序,以及和用于自定义热源的DFLUX子程序;
步骤2、建立金属电子束选区熔化的三维应力计算模型,建立与三维应力计算模型关联的用于区分粉末和实体区域材料力学参数的 UEPACTIVATIONVOL子程序;
步骤3、进行温度场计算时,UMATHT子程序依次获取每个网格节点材料的热物性参数,根据热物性参数得各网络节点的温度,根据所有网络节点的温度得到三维传热计算模型的温度分布;
步骤4、进行应力场计算时,将温度分布作为载荷施加到三维传热计算模型的应力计算中,UEPACTIVATIONVOL子程序依次获取每个单元节点的温度,并根据材料状态属性赋对应的力学参数,根据力学参数得到该单元的应力,根据各单元的应力得到整个三维传热计算模型的应力分布。
优选的,步骤1中三维传热计算模型的建立方法如下:Preferably, the establishment method of the three-dimensional heat transfer calculation model in
创建基板和各个粉末层,并赋予材料属性;Create substrates and individual powder layers and assign material properties;
对基板和各个粉末层进行装配,设置传热初始条件、边界条件和设置求解器;Assemble the substrate and each powder layer, set the initial heat transfer conditions, boundary conditions and set the solver;
对粉末层和基板分别进行网格划分并设置单元类型,得到三维传热计算模型。The powder layer and the substrate are divided into meshes and the element types are set to obtain a three-dimensional heat transfer calculation model.
优选的,所述的基板和各个粉末层的装配方法如下:Preferably, the assembly method of the substrate and each powder layer is as follows:
基板与粉末层之间、相邻粉末层之间通过“Tie”接触进行约束,对粉末层通过“Model Change”进行逐层激活模拟铺粉过程。The "Tie" contact is used to constrain the substrate and the powder layer, and between adjacent powder layers, and the powder layer is activated layer by layer through "Model Change" to simulate the powder spreading process.
优选的,所述初始、边界条件和求解器类型如下:Preferably, the initial, boundary conditions and solver types are as follows:
电子束选区熔化在真空腔体中,三维传热计算模型的初始温度为腔内温度、三维传热计算模型顶面及侧面仅存在辐射散热、基板底面施加恒温边界条件;求解器设置为“Heat Transfer”。Electron beam selection is melted in the vacuum cavity, the initial temperature of the 3D heat transfer calculation model is the temperature in the cavity, only radiation heat dissipation exists on the top and side surfaces of the 3D heat transfer calculation model, and a constant temperature boundary condition is applied to the bottom surface of the substrate; the solver is set to "Heat Transfer".
优选的,所述网格划分的方法及单元类型设置如下:Preferably, the method and unit type of the grid division are set as follows:
粉末层和基板顶部采用密集网格,基板底部采用疏松网格,二者之间划分过渡网格;单元类型设置为DC3D8。The powder layer and the top of the substrate adopt a dense mesh, the bottom of the substrate adopts a loose mesh, and a transition mesh is divided between the two; the unit type is set to DC3D8.
优选的,所述UMATHT子程序的建立方法如下:Preferably, the establishment method of described UMATHT subroutine is as follows:
设置MAT_ID为材料的状态变量,MAT_ID为0的节点被赋予粉末材料属性,MAT_ID为1的节点被赋予实体材料属性,初始状态下所有粉末区域的 MAT_ID值都为0;UMATHT子程序在分析步开始时读取每个节点的MAT_ID 值并判断该节点是否满足凝固条件,对满足条件的节点的MAT_ID值进行更新并赋于相应的固体材料热物性参数。Set MAT_ID as the state variable of the material, the node whose MAT_ID is 0 is assigned the powder material attribute, the node whose MAT_ID is 1 is assigned the solid material attribute, and the MAT_ID value of all powder areas in the initial state is 0; the UMATHT subroutine starts at the analysis step Read the MAT_ID value of each node and judge whether the node meets the solidification condition, update the MAT_ID value of the node that meets the condition and assign it to the corresponding thermal physical property parameters of the solid material.
优选的,步骤2中应力计算模型的建立方法如下:Preferably, the establishment method of the stress calculation model in
创建基板和各个粉末层,并赋予材料属性;Create substrates and individual powder layers and assign material properties;
对基板和各个粉末层进行装配,设置边界条件和求解器;Assembling the substrate and individual powder layers, setting up boundary conditions and solvers;
对粉末层和基板分别进行网格划分,并设置单元类型,得到应力计算模型。The powder layer and the substrate are meshed separately, and the element type is set to obtain the stress calculation model.
优选的,所述边界条件与求解器类型如下:Preferably, the boundary conditions and solver types are as follows:
电子束加载前基板与粉末层自由地放置于真空腔内,初始应力、应变均等于0,设置基板底面内所有节点沿成形方向的自由度为零,任意两相邻边约束其x或y方向的平动自由度;求解器选择“Static General”。Before electron beam loading, the substrate and the powder layer are freely placed in the vacuum chamber, the initial stress and strain are equal to 0, the degrees of freedom of all nodes in the bottom surface of the substrate along the forming direction are set to zero, and any two adjacent sides constrain their x or y direction translational degrees of freedom for ; the solver selects "Static General".
优选的,所述粉末层和基板的网格划分与温度场计算模型保持一致,单元类型改为C3D8R。Preferably, the mesh division of the powder layer and the substrate is consistent with the temperature field calculation model, and the unit type is changed to C3D8R.
优选的,所述UEPACTIVATIONVOL子程序的建立方法如下:Preferably, the establishment method of the UEPACTIVATIONVOL subroutine is as follows:
将温度场作为载荷施加到对应的应力模型上,根据UEPACTIVATIONVOL 子程序依次判断每个网格节点是否满足凝固条件,对于满足凝固条件的实体单元予以激活并赋于相应的固体材料力学参数,从而计算其应力值,根据各单元的应力得到整个模型的应力分布。Apply the temperature field as a load to the corresponding stress model, judge whether each grid node meets the solidification condition in turn according to the UEPACTIVATIONVOL subroutine, activate the solid elements that meet the solidification condition and assign corresponding solid material mechanical parameters, so as to calculate Its stress value, according to the stress of each element, gets the stress distribution of the whole model.
与现有技术相比,本发明具有以下有益的技术效果:Compared with the prior art, the present invention has the following beneficial technical effects:
本发明提供了一种电子束选区熔化温度场和应力场的有限元模拟方法,通过建立的针对金属材料电子束选区熔化过程的热-结构间接耦合有限元模型,开发实现用户自定义热源的DFLUX子程序、实现材料从粉末到实体物性参数切换的UMATHT子程序和区分粉末与实体材料力学性能差异的 UEPACTIVATIONVOL子程序对该成形过程的温度场和应力场模拟的方法,用于预测不同结构零部件成形过程中的温度场和熔池演化规律以及动态应力及残余应力分布,以便确定其最佳成形参数,为实际加工过程中避免产生成形件变形、翘曲和开裂等缺陷奠定基础,降低通过实验试错探索其工艺参数的资金成本和时间成本。The invention provides a finite element simulation method for the temperature field and stress field of electron beam selective melting, through the establishment of a heat-structure indirect coupling finite element model for the electron beam selective melting process of metal materials, the development and realization of user-defined heat source DFLUX Subroutines, UMATHT subroutines for switching materials from powder to solid physical parameters, and UEPACTIVATIONVOL subroutines for distinguishing the difference in mechanical properties between powder and solid materials. The method of simulating the temperature field and stress field of the forming process is used to predict different structural parts The evolution law of temperature field and molten pool, as well as the distribution of dynamic stress and residual stress in the forming process, in order to determine the optimal forming parameters, lay the foundation for avoiding defects such as deformation, warping and cracking of formed parts in the actual processing process, and reduce the risk of passing experiments. Trial and error to explore the capital cost and time cost of its process parameters.
附图说明Description of drawings
图1为本发明实现电子束选区熔化逐层铺粉的过程。Fig. 1 is the process of layer-by-layer powder coating of electron beam selective melting in the present invention.
图2为本发明所采用的电子束选区熔化过程的物理模型以及双椭球热源模型。Fig. 2 is the physical model and the double ellipsoidal heat source model of the electron beam selective melting process adopted in the present invention.
图3为本发明由于温度梯度不同产生形变的示意图。Fig. 3 is a schematic diagram of the deformation caused by different temperature gradients in the present invention.
图4为本发明模拟纯钨电子束选区熔化过程采用的计算模型以及局部网格划分示意图。Fig. 4 is a schematic diagram of the calculation model and local grid division used in simulating the electron beam selective melting process of pure tungsten in the present invention.
图5为本发明UMATHT程序设计流程图。Fig. 5 is a flow chart of UMATHT program design in the present invention.
图6为本发明针对纯钨电子束选区熔化单层多道成形采用图4计算模型求解的不同时刻的温度云图。NT11表示温度,单位为K。Fig. 6 is the temperature nephogram at different times obtained by using the calculation model in Fig. 4 for single-layer multi-pass forming of pure tungsten electron beam selective melting in the present invention. NT11 means temperature in K.
图7为本发明UEPACTIVATIONVOL程序设计流程图。Fig. 7 is a flow chart of UEPACTIVATIONVOL program design in the present invention.
图8为本发明针对纯钨电子束选区熔化单层多道成形沿图4计算模型上表面沿 x方向(扫描线方向)中心线、沿y方向(垂直于扫描线方向)中心线和沿z 方向(成形方向)中心线的应力分量分布。S表示Von Mises应力,S11、S22 和S33表示沿x、y和z方向的应力分量,单位为MPa。Fig. 8 is the single-layer multi-pass forming of pure tungsten electron beam selective melting according to the present invention along the centerline of the upper surface of the calculation model in Fig. 4 along the x direction (scanning line direction), along the y direction (perpendicular to the scanning line direction) centerline and along the z direction Direction (forming direction) stress component distribution of the centerline. S represents the Von Mises stress, S11, S22 and S33 represent the stress components along the x, y and z directions, in MPa.
具体实施方式Detailed ways
下面结合附图对本发明做进一步的详细说明,所述是对本发明的解释而不是限定。The present invention will be further described in detail below in conjunction with the accompanying drawings, which are explanations rather than limitations of the present invention.
参阅图1-7,一种金属电子束选区熔化温度场及应力场的有限元模拟方法,包括以下步骤:Referring to Figures 1-7, a finite element simulation method for the temperature field and stress field of metal electron beam selective melting includes the following steps:
步骤1、建立针对金属电子束选区熔化的三维传热计算模型,具体包括以下过程:
创建基板和各个粉末层,基板赋予实体金属材料属性,粉末层赋予金属粉末材料属性,材料热物性参数包括随温度变化的密度、热导率、比热等。Create the substrate and each powder layer. The substrate gives the material properties of the solid metal, and the powder layer gives the material properties of the metal powder. The thermal physical parameters of the material include density, thermal conductivity, specific heat, etc. that vary with temperature.
对基板和各个粉末层进行装配,基板与粉末层之间、相邻粉末层之间通过“Tie”接触进行约束,以便对粉末层通过“Model Change”进行逐层激活模拟铺粉过程,图1为模拟电子束选区熔化过程的示意图;Assemble the substrate and each powder layer, and constrain the substrate and powder layer, and between adjacent powder layers through "Tie" contact, so that the powder layer can be activated layer by layer through "Model Change" to simulate the powder spreading process, as shown in Figure 1 It is a schematic diagram of simulating the electron beam selective melting process;
设置求解器及初始条件、边界条件。温度场求解器选择“Heat Transfer”,并选择瞬态传热类型;电子束选区熔化是在真空腔体里进行的,传热计算模型的初始温度为腔内温度,粉末成顶面及侧面仅存在辐射散热,基板底面施加恒温边界条件;Set the solver, initial conditions, and boundary conditions. The temperature field solver selects "Heat Transfer" and selects the type of transient heat transfer; electron beam selective melting is carried out in a vacuum cavity, the initial temperature of the heat transfer calculation model is the temperature in the cavity, and the top and side surfaces of the powder are only There is radiation heat dissipation, and a constant temperature boundary condition is applied to the bottom surface of the substrate;
对粉末层和基板分别进行网格划分和单元设置。粉末层和基板顶部采用较密网格以分析熔化情况,其余部分采用疏松网格,粉末层和基板之间划分过渡网格;传热计算过程的单元类型设置为DC3D8;The powder layer and the substrate are meshed and element set separately. The powder layer and the top of the substrate adopt a denser mesh to analyze the melting situation, and the rest adopt a loose mesh, and a transition mesh is divided between the powder layer and the substrate; the element type of the heat transfer calculation process is set to DC3D8;
步骤2、构建与三维传热计算模型关联的DFLUX子程序和UMATHT子程序;
DFLUX子程序用于模拟电子束选区熔化过程的移动热源,以内置函数 FLUX(1)和FLUX(2)定义热流与时间和空间的函数关系,可以实现自定义热源半径、功率、速度,扫描时间,扫描策略等,参阅图2,所采用的热源为双椭球热源模型。The DFLUX subroutine is used to simulate the moving heat source of the electron beam selective melting process. The built-in functions FLUX(1) and FLUX(2) define the functional relationship between heat flow and time and space, and can realize custom heat source radius, power, speed, and scanning time. , scanning strategy, etc., see Figure 2, the heat source used is a double ellipsoid heat source model.
另外,图2还展示了电子束扫描成形层时的传热模型,该模型内部遵循三维非稳态传热规律,满足的导热方程为:In addition, Figure 2 also shows the heat transfer model when the electron beam scans the forming layer. The model follows the three-dimensional unsteady heat transfer law internally, and the satisfied heat conduction equation is:
λ是热导率(W/(m·K))、ρ是密度(kg/m3)、cp是比热(J/(kg·K)),均随温度变化而变化,q代表从移动热源吸收的热通量,单位为J/m3。为了模拟成形舱的温度,基底设置了恒温边界条件;为了模拟粉末层的预热,每层粉末层被激活时定义了温度为预热温度的预定义场;成形层除底面外其他表面均设置为辐射散热边界条件。λ is the thermal conductivity (W/(m·K)), ρ is the density (kg/m 3 ), c p is the specific heat (J/(kg·K)), all of which change with the change of temperature, and q represents the change from The heat flux absorbed by the mobile heat source, in J/m 3 . In order to simulate the temperature of the forming chamber, a constant temperature boundary condition is set on the base; in order to simulate the preheating of the powder layer, a predefined field whose temperature is the preheating temperature is defined when each powder layer is activated; the other surfaces of the forming layer except the bottom surface are set is the radiation cooling boundary condition.
另外,SEBM成形过程中的温度变化范围大,金属粉末在电子束作用下经历了由粉末态至液态以及固态的转变,不同的温度和状态下材料的热物性参数差异较大。因此计算中既要考虑材料的热物性参随温度发生的变化,又要考虑材料热物性参随状态的变化。随温度变化的热物性参数在有限元软件中即可实现,随材料状态变化的热物性参数则须借助基于有限元软件ABAQUS二次开发的UMATHT子程序实现,UMATHT中有关于热导率、比热等的内置函数,只需将每项材料参数赋予给相应函数,调用函数即可。参考图5,UMATHT子程序的建立方法如下:In addition, the temperature range of the SEBM forming process is large, and the metal powder undergoes the transition from powder state to liquid state and solid state under the action of electron beams. The thermal physical parameters of materials vary greatly under different temperatures and states. Therefore, in the calculation, it is necessary to consider not only the change of the thermal physical properties of the material with the temperature, but also the change of the thermal physical properties of the material with the state. The thermophysical parameters that change with temperature can be realized in the finite element software, and the thermophysical parameters that change with the material state must be realized by the UMATHT subroutine based on the secondary development of the finite element software ABAQUS. For built-in functions such as heat, you only need to assign each material parameter to the corresponding function and call the function. Referring to Figure 5, the establishment method of the UMATHT subroutine is as follows:
定义MAT_ID为材料的状态变量,MAT_ID为0的网格节点被赋予粉末材料属性,MAT_ID为1的节点被赋予固体材料属性,初始状态下所有粉末区域的MAT_ID值都为0,温度场计算时,UMATHT子程序读取每个网格节点的 MAT_ID值并判断该网格节点是否满足凝固条件(T≤Tm&dT/dt<0),对满足条件的节点的MAT_ID值进行更新并赋予其对应的固态材料属性。一旦被赋予固体材料属性,当温度继续下降直至室温,材料的热物性参数也只会依据固态材料变化而不会变回粉末态参数,以实现材料由粉末态到液态再到固态的单向转变。根据材料状态属性赋予相应的热物性参数,进而得到该网格节点的温度,根据各个网格节点的温度得到整个三维传热模型的温度分布。Define MAT_ID as the state variable of the material, the grid node whose MAT_ID is 0 is assigned the powder material attribute, the node whose MAT_ID is 1 is assigned the solid material attribute, the MAT_ID value of all powder regions in the initial state is 0, and when the temperature field is calculated, The UMATHT subroutine reads the MAT_ID value of each grid node and judges whether the grid node meets the solidification condition (T≤T m &dT/dt<0), updates the MAT_ID value of the node that meets the condition and assigns it the corresponding Solid state material properties. Once endowed with solid material properties, when the temperature continues to drop to room temperature, the thermophysical parameters of the material will only change according to the solid material and will not change back to the powder state parameters, so as to realize the one-way transformation of the material from powder state to liquid state and then to solid state . According to the material state attributes, the corresponding thermophysical parameters are assigned, and then the temperature of the grid node is obtained, and the temperature distribution of the entire 3D heat transfer model is obtained according to the temperature of each grid node.
步骤3、建立针对金属电子束选区熔化的应力计算模型,具体包括以下过程:
创建基板和各个粉末层,基板赋予实体金属材料属性,粉末层赋予金属粉末材料属性,材料力学参数包括泊松比,随温度变化的杨氏模量、热膨胀系数及屈服应力;Create the substrate and each powder layer, the substrate endows the material properties of the solid metal, the powder layer endows the material properties of the metal powder, and the mechanical parameters of the material include Poisson's ratio, Young's modulus, thermal expansion coefficient and yield stress that vary with temperature;
基板与粉末层之间、相邻粉末层之间的连接方式不变,依旧采用“Tie”连接;The connection method between the substrate and the powder layer and between adjacent powder layers remains unchanged, and the "Tie" connection is still used;
设置应力计算的求解器及初始条件和边界条件。设置应力求解器为“StaticGeneral”;由于电子束加载前基板与粉末层自由地放置于真空腔内,初始应力、应变均被认为等于0,设置基板底面内所有节点沿成形方向的自由度为零,任意两相邻边约束其x或y方向的平动自由度;Sets the solver for stress calculations and the initial and boundary conditions. Set the stress solver to "StaticGeneral"; since the substrate and the powder layer are freely placed in the vacuum chamber before electron beam loading, the initial stress and strain are considered to be equal to 0, and the degrees of freedom of all nodes in the bottom surface of the substrate along the forming direction are set to zero , any two adjacent sides constrain their translational degrees of freedom in the x or y direction;
对应力计算模型进行网格划分并设置单元类型。网格划分与温度计算过程保持一致,单元类型改为C3D8R;Mesh the stress calculation model and set the element type. The mesh division is consistent with the temperature calculation process, and the element type is changed to C3D8R;
步骤4、构建与应力计算模型关联的UEPACTIVATIONVOL子程序;
具体的,粉末在未达到熔点之前,其杨氏模量、热膨胀系数和屈服应力和实体钨是不同的,尽管也随温度发生变化,但其影响与实体钨相比几乎可以忽略,从预热温度到即将发生凝固,力学性能几乎为零,对变形影响可以忽略不计,故钨粉的力学参数可看作零值参与计算,但实体钨的强度、刚度很大,计算过程不可忽略,因此设计如图7的UEPACTIVATIONVOL子程序,用于对粉末层上的已熔化区域和未熔化区域上材料力学参数的区分。Specifically, before the powder reaches the melting point, its Young's modulus, thermal expansion coefficient and yield stress are different from solid tungsten. Although it also changes with temperature, its influence is almost negligible compared with solid tungsten. From preheating When the temperature is about to solidify, the mechanical properties are almost zero, and the influence on deformation can be ignored. Therefore, the mechanical parameters of tungsten powder can be regarded as zero values to participate in the calculation, but the strength and stiffness of solid tungsten are very large, and the calculation process cannot be ignored. Therefore, the design The UEPACTIVATIONVOL subroutine shown in Figure 7 is used to distinguish the mechanical parameters of the material on the melted area and the unmelted area on the powder layer.
初始阶段将整个成形层都不激活,UEPACTIVATIONVOL子程序依次判断节点处的温度是否低于材料熔点且温度变化率是否小于零(即是否满足凝固条件),若某个单元节点符合上述条件,此单元被完全激活,并被赋予实体材料属性。同理,不满足凝固条件的单元不被激活,处于无约束的自由状态。根据材料状态属性赋对应的力学参数,从而计算其应力值,根据各单元的应力得到整个模型的应力分布。In the initial stage, the entire forming layer is not activated. The UEPACTIVATIONVOL subroutine judges in turn whether the temperature at the node is lower than the melting point of the material and whether the temperature change rate is less than zero (that is, whether the solidification condition is satisfied). If a certain element node meets the above conditions, the unit is fully activated, and is given solid material properties. Similarly, the units that do not meet the solidification conditions are not activated and are in an unconstrained free state. The corresponding mechanical parameters are assigned according to the material state properties, so as to calculate the stress value, and the stress distribution of the whole model is obtained according to the stress of each unit.
参阅图1、模拟粉末床电子束选区熔化过程的第一个技术难点就是逐层铺粉问题,图1展示了本发明解决该问题的基本思路,预先建立包含基板和粉末层的计算模型,并设置好装配和约束。成形前,使所有粉末层先不被激活;开始成形后,将每层粉末层按设置的铺粉时间逐层激活,在铺粉间隙,电子束对粉末层进行选区扫描,并经适当的冷却凝固,循环交替,成形出整个零件。Referring to Fig. 1, the first technical difficulty in simulating the powder bed electron beam selective melting process is the problem of layer-by-layer powder spreading. Fig. 1 shows the basic idea of the present invention to solve this problem. A calculation model including the substrate and powder layer is established in advance, and Set up the rig and constraints. Before forming, all powder layers are not activated; after forming, each layer of powder layer is activated layer by layer according to the set powder spreading time. During the powder spreading interval, the electron beam scans the powder layer in a selected area and undergoes proper cooling. Solidification, alternating cycles, forms the entire part.
参阅图3,为电子束选区熔化过程中成形层受温度影响而产生的形变,电子束到达试样表面,粉末层吸收热量温度骤然升高发生膨胀,由于材料的连续性,底层材料必定对顶部产生约束,使其受到弹性压应力,当达到材料的屈服强度,顶部发生塑性变形,热顶层甚至整个试件会发生远离电子束的弯曲;电子束离开后,顶部开始冷却收缩,同样受到底层材料的限制,顶部被拉,使得试样发生朝向电子束的弯曲。Refer to Figure 3, which shows the deformation of the forming layer affected by the temperature during the electron beam selective melting process. The electron beam reaches the surface of the sample, and the powder layer absorbs heat and the temperature rises suddenly and expands. Due to the continuity of the material, the bottom material must be opposite to the top. When the yield strength of the material is reached, plastic deformation occurs at the top, and the hot top layer and even the entire specimen will bend away from the electron beam; after the electron beam leaves, the top begins to cool and shrink, and is also affected by the bottom material. , the top is pulled, causing the specimen to bend toward the electron beam.
图4展示了本实例中针对纯钨电子束选区熔化成形的计算模型,模型包含由纯钨基板和单层纯钨粉末组成的成形层。基板的尺寸为6.0mm×6.0mm×2.0 mm,粉末层的尺寸为6.0mm×6.0mm×0.05mm,粉末床的框内为电子束扫描区域,其大小为4.2mm×4.2mm×0.05mm。扫描线间距为0.05mm,故该成形层上的扫描道数为21。综合考虑计算精度和效率两个方面,对模型进行疏密过渡的网格划分。粉末层的单元尺寸设置为0.15mm×0.15mm×0.025mm,实体钨基板的网格尺寸设置为0.9mm×0.15mm×0.4mm,最终网格模型包含 15200个单元。采用顺序耦合对成形过程的温度场和应力进行求解,温度场计算时所有网格均采用DC3D8网格类型,应力场计算时所有网格均采用C3D8 八节点的六面体网格类型,两个过程网格划分保持不变。Figure 4 shows the calculation model for electron beam selective melting of pure tungsten in this example. The model includes a forming layer composed of a pure tungsten substrate and a single layer of pure tungsten powder. The size of the substrate is 6.0mm×6.0mm×2.0 mm, the size of the powder bed is 6.0mm×6.0mm×0.05mm, and the frame of the powder bed is the electron beam scanning area, and its size is 4.2mm×4.2mm×0.05mm. The scanning line pitch is 0.05 mm, so the number of scanning passes on the shaping layer is 21. Considering the two aspects of calculation accuracy and efficiency comprehensively, the model is meshed with density transition. The unit size of the powder layer is set to 0.15mm×0.15mm×0.025mm, the grid size of the solid tungsten substrate is set to 0.9mm×0.15mm×0.4mm, and the final grid model contains 15200 units. Sequential coupling is used to solve the temperature field and stress of the forming process. When calculating the temperature field, all grids use DC3D8 grid type. When calculating the stress field, all grids use C3D8 eight-node hexahedral grid type. Two process nets The grid division remains unchanged.
图6展示了采用图4模型计算得到的成形过程中不同时刻的温度分布情况, (a)为扫描至第一道中点时的温度云图;(b)为扫描至成形层中心点时的温度云图;(c)为扫描至最后一道中点时的温度云图,由于受前方扫描道的预热,随着扫描不断进行,温度峰值逐渐升高;(d)为电子束离开后冷却至某一时刻的温度云图;(e)为整个成形层冷却至预热温度的温度云图。Figure 6 shows the temperature distribution at different moments in the forming process calculated by the model in Figure 4, (a) is the temperature cloud map when scanning to the midpoint of the first track; (b) is the temperature when scanning to the center point of the forming layer Cloud image; (c) is the temperature cloud image when scanning to the midpoint of the last track, due to the preheating of the front scanning channel, the temperature peak gradually increases as the scanning continues; (d) is the electron beam cooling to a certain level after leaving The temperature cloud map of the moment; (e) is the temperature cloud map of the entire forming layer cooled to the preheating temperature.
图8展示了采用图4模型上表面沿x方向(扫描线方向)中心线、沿y方向(垂直于扫描线方向)中心线和沿z方向(成形方向)中心线的残余应力分量分布曲线。沿x方向路径上的应力分量与沿y方向路径上的应力分量峰值几乎相等。Figure 8 shows the distribution curves of residual stress components along the centerline of the x-direction (scanning line direction), along the centerline of the y-direction (perpendicular to the scanning line direction) and along the centerline of the z-direction (forming direction) of the upper surface of the model in Figure 4. The stress component along the x-direction path is almost equal to the stress component peak value along the y-direction path.
本发明具有以下有益的技术效果:The present invention has the following beneficial technical effects:
首先,采用“Model Change”对粉末层进行逐层激活,并同时考虑所激活部分的辐射散热以及通过施加预定义场来模拟粉末床的预热,较为真实地还原了金属电子束选区熔化过程。First, "Model Change" is used to activate the powder layer layer by layer, and at the same time, the radiation heat dissipation of the activated part and the preheating of the powder bed are simulated by applying a predefined field, which restores the metal electron beam selective melting process more realistically.
其次,材料的热物性参数和力学参数直接影响计算结果,准确的材料参数对模拟结果具有重要的影响。本发明通过开发用户子程序UMATHT子程序和 UEPACTIVATIONVOL子程序,在温度场计算和应力场计算中都考虑了不同温度和状态下的材料参数对温度和应力的影响,提高了模拟的准确性。Secondly, the thermophysical parameters and mechanical parameters of the material directly affect the calculation results, and the accurate material parameters have an important impact on the simulation results. In the present invention, by developing the user subroutine UMATHT subroutine and UEPACTIVATIONVOL subroutine, the influence of material parameters under different temperatures and states on temperature and stress is considered in the calculation of temperature field and stress field, and the accuracy of simulation is improved.
另外,在电子束选区熔化过程中,成形参数对结果的影响是至关重要的,通过DFLUX子程序控制热源参数,方便探究不同工艺参数对金属电子束选区熔化热力耦合行为的影响。比如对电子束半径、扫描速率、热源功率、扫描间距、吸收率、层间相位角、扫描线长短、搭接率、层间冷却时间等进行研究。In addition, in the process of electron beam selective melting, the influence of forming parameters on the results is very important. By controlling the heat source parameters through the DFLUX subroutine, it is convenient to explore the influence of different process parameters on the thermomechanical coupling behavior of metal electron beam selective melting. For example, research on electron beam radius, scanning rate, heat source power, scanning distance, absorption rate, interlayer phase angle, scanning line length, overlapping rate, interlayer cooling time, etc.
最后,与实验相比本发明不仅可以得到成形结束后的残余应力和变形,还能提取成形过程中各个时刻的温度变化、熔化情况和应力分布等,为研究其热- 力行为提供了极大的便利。Finally, compared with the experiment, the present invention can not only obtain the residual stress and deformation after forming, but also extract the temperature change, melting situation and stress distribution at each moment during the forming process, which provides a great advantage for the study of its thermal-mechanical behavior. convenience.
以上内容仅为说明本发明的技术思想,不能以此限定本发明的保护范围,凡是按照本发明提出的技术思想,在技术方案基础上所做的任何改动,均落入本发明权利要求书的保护范围之内。The above content is only to illustrate the technical ideas of the present invention, and cannot limit the protection scope of the present invention. Any changes made on the basis of the technical solutions according to the technical ideas proposed in the present invention shall fall within the scope of the claims of the present invention. within the scope of protection.
Claims (10)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202211347875.XA CN115740493A (en) | 2022-10-31 | 2022-10-31 | Finite element simulation method for selective electron beam melting temperature field and stress field |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202211347875.XA CN115740493A (en) | 2022-10-31 | 2022-10-31 | Finite element simulation method for selective electron beam melting temperature field and stress field |
Publications (1)
Publication Number | Publication Date |
---|---|
CN115740493A true CN115740493A (en) | 2023-03-07 |
Family
ID=85354548
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202211347875.XA Pending CN115740493A (en) | 2022-10-31 | 2022-10-31 | Finite element simulation method for selective electron beam melting temperature field and stress field |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN115740493A (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN118886262A (en) * | 2024-07-15 | 2024-11-01 | 南昌航空大学 | A method, device and medium for simulating electron beam selective melting additive process |
Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108062432A (en) * | 2017-11-17 | 2018-05-22 | 西安铂力特增材技术股份有限公司 | A kind of method for numerical simulation of selective laser fusion process |
CN108717481A (en) * | 2018-05-08 | 2018-10-30 | 武汉理工大学 | Temperature Distribution and buckling deformation prediction technique during a kind of selective laser melting |
US20200327267A1 (en) * | 2019-04-12 | 2020-10-15 | Iowa State University Research Foundation, Inc. | Interstitial control during additive manufacturing |
CN112182921A (en) * | 2020-08-31 | 2021-01-05 | 北京化工大学 | Prediction method for selective laser melting thermal-mechanical coupling behavior of high-performance alloy steel |
WO2022011723A1 (en) * | 2020-07-17 | 2022-01-20 | 天华化工机械及自动化研究设计院有限公司 | Ansys-based multi-field coupling stress distribution simulation method for high temperature carbonization furnace |
CN114912322A (en) * | 2022-05-18 | 2022-08-16 | 华南理工大学 | Thermal behavior prediction method for selective laser melting forming process of 316L stainless steel |
-
2022
- 2022-10-31 CN CN202211347875.XA patent/CN115740493A/en active Pending
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108062432A (en) * | 2017-11-17 | 2018-05-22 | 西安铂力特增材技术股份有限公司 | A kind of method for numerical simulation of selective laser fusion process |
CN108717481A (en) * | 2018-05-08 | 2018-10-30 | 武汉理工大学 | Temperature Distribution and buckling deformation prediction technique during a kind of selective laser melting |
US20200327267A1 (en) * | 2019-04-12 | 2020-10-15 | Iowa State University Research Foundation, Inc. | Interstitial control during additive manufacturing |
WO2022011723A1 (en) * | 2020-07-17 | 2022-01-20 | 天华化工机械及自动化研究设计院有限公司 | Ansys-based multi-field coupling stress distribution simulation method for high temperature carbonization furnace |
CN112182921A (en) * | 2020-08-31 | 2021-01-05 | 北京化工大学 | Prediction method for selective laser melting thermal-mechanical coupling behavior of high-performance alloy steel |
CN114912322A (en) * | 2022-05-18 | 2022-08-16 | 华南理工大学 | Thermal behavior prediction method for selective laser melting forming process of 316L stainless steel |
Non-Patent Citations (1)
Title |
---|
江静: "纯钨电子束选区熔化过程的温度场有限元模拟", 中国激光, vol. 49, no. 8, 30 April 2022 (2022-04-30), pages 0802006 * |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN118886262A (en) * | 2024-07-15 | 2024-11-01 | 南昌航空大学 | A method, device and medium for simulating electron beam selective melting additive process |
CN118886262B (en) * | 2024-07-15 | 2025-04-25 | 南昌航空大学 | Electron beam selective melting material-increasing process simulation method, equipment and medium |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Foteinopoulos et al. | On thermal modeling of Additive Manufacturing processes | |
CN110472355B (en) | A 3D printing preview method based on multi-field coupling modeling and simulation solution | |
Moges et al. | A review of model inaccuracy and parameter uncertainty in laser powder bed fusion models and simulations | |
Tran et al. | Systematic approach for determining optimal processing parameters to produce parts with high density in selective laser melting process | |
CN108062432A (en) | A kind of method for numerical simulation of selective laser fusion process | |
CN108717481B (en) | A method for predicting temperature distribution and warpage deformation during selective laser melting | |
CN113343521B (en) | Method for predicting interlayer thermal stress distribution in selective laser melting process based on COMSOL | |
CN115186557B (en) | A method for uniformizing the microstructure of additive manufacturing components based on multi-physics coupling to solve the thermal accumulation effect | |
CN114919181B (en) | Dynamic simulation of continuous fiber 3D printing process and prediction method of warpage deformation of printed parts | |
CN105718690A (en) | Laser 3D printing molten bath solidification behavior numerical simulation method based on time and space active tracking | |
CN116213762B (en) | A method for predicting the microstructure morphology of molten deposited layers in laser metal additive manufacturing | |
CN111745276A (en) | A Fast Simulation Method for Residual Stress and Deformation of Resistance Spot Welding of Complex Sheet Metal Components | |
CN106529051A (en) | Method for determining heat source model parameters of single wire submerged arc welding numerical simulation | |
Kobir et al. | Prediction of recoater crash in laser powder bed fusion additive manufacturing using graph theory thermomechanical modeling | |
CN109513924A (en) | Surface roughness control method in a kind of selective laser fusion process | |
CN114273671A (en) | A dual-beam laser powder bed fusion simulation method | |
Zhou et al. | Effective heat conduction evaluation of lattice structures from selective laser melting printing | |
CN111460709A (en) | A method for predicting temperature distribution and deformation of parts during fused deposition manufacturing | |
CN111666663A (en) | SLM thermal stress rapid calculation method | |
CN115740493A (en) | Finite element simulation method for selective electron beam melting temperature field and stress field | |
Liu et al. | Data-driven M-VCUT topology optimization method for heat conduction problem of cellular structure with multiple microstructure prototypes | |
CN116205083A (en) | A Method for Predicting SLM Metal Fatigue Life | |
Hu et al. | Experimental and numerical study on thermal management performance of PCM-based heat sinks with various configurations fabricated by additive manufacturing | |
CN103279630B (en) | Laser dark fusing point weldering keyhole dynamic compaction (DC) method for numerical simulation | |
CN115964890A (en) | A 3D printing material attribute conversion and complex scanning strategy realization method |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination |