CN109543333A - The welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation - Google Patents

The welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation Download PDF

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CN109543333A
CN109543333A CN201811461901.5A CN201811461901A CN109543333A CN 109543333 A CN109543333 A CN 109543333A CN 201811461901 A CN201811461901 A CN 201811461901A CN 109543333 A CN109543333 A CN 109543333A
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angle pipes
welding
deformation
residual stress
temperature
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姜潮
刘志成
张哲�
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Hunan University
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F2119/08Thermal analysis or thermal optimisation

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Abstract

The invention belongs to nuclear engineering fields, the prediction technique of welding residual stress and deformation more particularly to a kind of nuclear power engineering six angle pipes, this method specific steps include, 1. establishing the geometrical model of six angle pipes, 2. establishing six angle pipes welding transient heat conduction model using finite element software, 3. the coordinate origin of global coordinate system is transformed to each arc section central coordinate of circle in the way of coordinate transform, six angle pipes moving heat source subprogram is write;4. solving field of welding temperature history using the subprogram write in step 2 based on the relevant thermo-physical performance parameters of six angle pipes material temperature;5. constructing six angle pipes statical model using finite element software, 6. using the field of welding temperature history that emulation solution obtains in step 4 as thermal force, thermodynamic property parametric solution welding residual stress and residual deformation based on hexagonal tube material.Welded residual stress field/residual deformation of complex section shape in this nuclear engineering of six angle pipes can effectively be predicted through the above steps.

Description

The welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation
Technical field
The invention belongs to nuclear engineering fields, welding residual stress and change more particularly to a kind of nuclear power engineering six angle pipes The prediction technique of shape.
Technical background
Nuclear fuel rod is made of the part such as fuel pellet, six angle pipes, upper end plug, lower end plug, holddown spring.The system of fuel rod It makes and generallys use pellet filling method: first welding lower end plug and six angle pipes, pellet, bullet Huang etc. are then packed into six angle pipes, then Pressure people's upper end plug is welded.Six angle pipes need to face the different military services such as high temperature, high pressure, strong neutron irradiation, boron aqueous corrosion The baptism of environment.Therefore other than the material property to six angle pipes itself requires height, the connection of six angle pipes and upper and lower end plug It is required that it is fine and close and strong, reach the even higher standard of industrial required solidness.The welding of upper and lower end plug and six angle pipes It is generally completed on six angle pipes special welding device, generally uses TIG from fusion welds technique.Welding workstation is passed by workpiece It send, clamps, overturn system, the composition such as lifting system, double-torch head.Welding gun rotation, workpiece are fixed when welding.As described above, Six angle pipes welding structure needs are on active service under the environment such as high temperature, high temperature and corrosion.Therefore institute under different welding conditions The welding residual stress attribute of generation and welding residual deformation have the service reliability of six angle pipes bigger influence. Welding residual stress is likely to result in the stress corrosion effect of six angle pipes, and welding residual deformation may will affect the dress of fuel bundle With precision, to reduce the service reliability of six angle pipes.To round tube/plate welding remnants of circular cross-section or straight path Stress field carries out analogue simulation, and writing for welding moving heat source subprogram is relatively simple, and in the welding structure of six angle pipes, weldering The motion track for connecing heat source is straight line and the alternate closed loop route of circular arc, and track is complex, it is difficult to directly be imitated True simulation.
Summary of the invention
The present invention problem big for the analogue simulation difficulty of the residual stresses and deformations of six angle pipes complex section, provides A kind of welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation.Specific technical solution is as follows:
A kind of welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation, include the following steps:
Step 1: the geometrical model of six angle pipes is established;
Step 2: six angle pipes welding transient heat conduction model is established using finite element software;
Step 3: the coordinate origin of global coordinate system is transformed into each arc section center of circle in the way of coordinate transform Coordinate, and write six angle pipes moving heat source subprogram;
Step 4: the subprogram write in step 2 is utilized based on the relevant thermo-physical performance parameters of six angle pipes material temperature Solve field of welding temperature history;
Step 5: six angle pipes statical model is constructed using finite element software;
Step 6: emulation in step 4 is solved to obtained field of welding temperature history as thermal force, is based on hexagonal tubing The thermodynamic property parametric solution welding residual stress and residual deformation of material;
Further, the transient heat conduction model of the welding process in the step 2 are as follows:
In above-mentioned formula, ρ, c are respectively density and specific heat capacity, and T is transient temperature, and t is current time, and x, y, z is with reference to seat Mark system,For spatial gradient operator,For hot-fluid vector,For the internal rate of heat production.
Further, the statical model in the step 5 is the principle based on sequence thermal coupling, by transient heat conduction Analysis is changed to statics Analysis, and cell type is revised as static type by the type of transient heat conduction.
Further, the step 6 includes carrying out welded plastoelasticity point for temperature field as thermal force Analysis, the total strain rate analyzed by plastoelasticity, told total strain rate includes following three parts: In formula,For elastic strain rate,For thermal strain rate,For plastic strain rate.
Further, the elastic strain is obtained by the relevant elasticity modulus of temperature and Poisson's ratio;The thermal strain is logical The relevant thermal expansion coefficient of excess temperature is solved;The plastic strain is then according to the von with kinematic hardening feature The solution of Mises yield surface is calculated.
Beneficial effect
1. realizing and handing over 12 sections (6 sections of Different Slope straight lines, 6 sections of circular arcs) the present invention is based on the theory of sequence thermal coupling It, can be to multiple in this nuclear engineering of the six angle pipes of nuclear leve fuel bundle assembly for writing for transformation Antiinterference moving heat source subprogram Welded residual stress field/residual deformation of miscellaneous cross sectional shape is effectively predicted.
2. the present invention can be before the six angle pipes to different geometrical models weld, to different welding conditions Obtained field of welding temperature and history, Residual stresses and welding residual deformation carry out preliminary assessment, can be effective Ground instructs the selection of welding condition and improves six angle pipes welding service reliability and robustness, reduces the use of six angle pipes Cost.
Detailed description of the invention
Fig. 1 is six angle pipes cross section geometric information in specific embodiment;
Fig. 2 is six angle pipes finite element model in specific embodiment;
Fig. 3 is the moving heat source model of double ellipsoids in specific embodiment;
Fig. 4 is hexagonal tube section moving heat source motion track in specific embodiment;
Fig. 5 is the welded boundary condition of six angle pipes in specific embodiment;
Fig. 6 is the variation course of weld seam node heat flow density in specific embodiment;
Fig. 7 is the variation course of weld seam node source center temperature in specific embodiment;
One of six angle pipes transient state temperature field when Fig. 8 is double ellipsoid moving heat source movements in specific embodiment;
The two of six angle pipes transient state temperature field when Fig. 9 is double ellipsoid moving heat source movements in specific embodiment;
Figure 10 is six angle pipes Residual stresses in specific embodiment;
Figure 11 is the local feature of six angle pipes Residual stresses in specific embodiment;
Figure 12 is that six angle pipes weld afterflow in specific embodiment.
Specific embodiment
By an example, invention is further described in detail with reference to the accompanying drawing.
Since nuclear leve fuel bundle is generally long, the outer tube for undertaking stationary fuel cluster effect also compares accordingly It is long, the mixed oxide fuel six angle pipes geometrical model that entire length is 2800mm is established, the specific size of cross sectional shape is such as Shown in Fig. 1.The regular hexagonal section outer layer side length be 110mm, internal layer side length 106.5mm, the outer tube with a thickness of 3mm, and While while between exist a R4.5 rounded corner.
Establish the finite element model of the welded transient heat conduction of six angle pipes as shown in Figure 2, transient heat conduction model Are as follows:
In above-mentioned formula, ρ, c are respectively density and specific heat capacity, and T is transient temperature, and t is current time, and x, y, z is with reference to seat Mark system,For spatial gradient operator,For hot-fluid vector,For the internal rate of heat production.And follow Fourier rule Non-linear isotropic equation of heat conduction is defined as follows:
In formula, k is the relevant material thermal conductivity of temperature.
Currently, applying up to double ellipsoidal models in engineering, which can reflected well for welding moving heat source The Gradient Effect of temperature before and after moving heat source.The front and back heat flux distribution of double ellipsoid moving heat sources can be retouched by following equation It states:
In formula, x ', y ', it is the local coordinate system of welded double stripping mechanism with z ';ffWith frBefore respectively indicating Heat ratio shared by ellipsoid part afterwards;QwThe effective power for representing welding heat source is imitated with welding current, welding arc voltage and electric arc The parameters such as rate are related.af, ar, b is the geometric parameter of double ellipsoids relevant with moving heat source to c.
Unit near upper and lower weld seam is refined, to simulate the stress concentration effect of weld dimensions.Six angle pipes Material is 316Ti stainless steel, and this material has relatively broad application in nuclear industry, and material main component is as shown in table 1. Material thermo-physical performance parameters relevant to temperature and mechanical property parameters are as shown in table 2.
1 316Ti stainless steel material main component of table
The relevant thermo-physical performance parameters of 2 316Ti stainless steel material temperature of table and thermodynamic property parameter
When writing of moving heat source subprogram is being carried out to welding track shown in Fig. 4, arc section is transitioned by straightway When, the coordinate origin (x, y) of global coordinate system is transformed into each arc section central coordinate of circle (x first with coordinate transformi,yi), Wherein, i=1,2 ... ... 6.Further welding moving heat source subprogram is carried out to every segment circular arc under local coordinate system to carry out It writes, to realize the definition of straight line-circular arc checker welding track moving heat source.
According to welding handbook and the welding procedure of arc welding, initial option welding condition are as follows: voltage 20V;Electric current 110A;Speed of welding 90mm/min.The welding sub- journey of moving heat source is write by Abaqus Finite Element Simulation Software and Fortran Sequence carries out the solution of field of welding temperature and its history using finite element model as shown in Figure 5 and the subprogram write.Temperature The result for spending field can be by the change histories of the heat flow density for 14 nodes being located on weld seam and the change of temperature field history Change is observed.Heat flow density, the temperature history difference of these nodes are as shown in Figure 6,7.And Fig. 8,9 be moving heat source The distribution of the transient state temperature field of weld seam when mobile, by Fig. 8 and Fig. 9 it is found that under selected welding condition, in moving heat source The maximum temperature of the heart is stably maintained near 3800 DEG C.
As described above, after the temperature field history for obtaining the six angle pipes welding process, still using as shown in Figure 5 limited The solution of meta-model progress welding residual stress and residual deformation.Principle based on sequence thermal coupling, it is only necessary to by analysis type Statics Analysis is changed to by transient heat conduction analysis, cell type is revised as static class by the type of transient heat conduction Type, while using the field of welding temperature history obtained before as thermal force, the emulation for carrying out residual stress and residual deformation solves. Based on the relevant thermodynamic property parameter of 316Ti stainless steel temperature as shown in Table 2 (yield strength, Young's modulus, Poisson's ratio) And thermal expansion coefficient, carry out the analogue simulation of welding residual stress and residual deformation.It emulates residual near obtained weld seam As shown in Figure 10,11, residual plastic strain is as shown in figure 12 for residue stress field.
In conjunction with the geometry information of six angle pipes, the result of Figure 10-12 is analyzed it is found that being somebody's turn to do the result is that reasonable. Six angle pipes axial length reaches 2.8m, and when welding is fixed by being buckled at end plug up and down for welding machine, other positions have no Constraint, when being welded, axially more can freely be expanded with heat and contract with cold deformation, i.e., be not sufficient in axial constraint (restraint) degree Remaining plastic deformation is axially being generated, therefore the welding structure can't generate very big residual stress and residual deformation.

Claims (5)

1. a kind of welding residual stress of nuclear power engineering six angle pipes and the prediction technique of deformation, which is characterized in that including as follows Step:
Step 1: the geometrical model of six angle pipes is established;
Step 2: six angle pipes welding transient heat conduction model is established using finite element software;
Step 3: the coordinate origin of global coordinate system is transformed into each arc section center of circle in the way of coordinate transform and is sat Mark, and write six angle pipes moving heat source subprogram;
Step 4: it is solved based on the relevant thermo-physical performance parameters of six angle pipes material temperature using the subprogram write in step 2 Field of welding temperature history;
Step 5: six angle pipes statical model is constructed using finite element software;
Step 6: emulation in step 4 is solved into obtained field of welding temperature history as thermal force, based on hexagonal tube material Thermodynamic property parametric solution welding residual stress and residual deformation.
2. a kind of welding residual stress of nuclear power engineering six angle pipes according to claim 1 and the prediction technique of deformation, It is characterized in that, the transient heat conduction model of the welding process in the step 2 are as follows:
In above-mentioned formula, ρ, c are respectively density and specific heat capacity, and T is transient temperature, and t is current time, and x, y, z is reference frame,For spatial gradient operator,For hot-fluid vector,For the internal rate of heat production.
3. a kind of welding residual stress of nuclear power engineering six angle pipes according to claim 1 and the prediction technique of deformation, It is characterized in that, the statical model in the step 5 is the principle based on sequence thermal coupling, transient heat conduction analysis is changed For statics Analysis, cell type is revised as static type by the type of transient heat conduction.
4. a kind of welding residual stress of nuclear power engineering six angle pipes according to claim 1 and the prediction technique of deformation, It is characterized in that, the step 6 includes carrying out welded plastoelasticity analysis for temperature field as thermal force, pass through The total strain rate that plastoelasticity is analyzed, told total strain rate include following three parts:In formula,For elastic strain rate,For thermal strain rate,For plastic strain rate.
5. a kind of welding residual stress of nuclear power engineering six angle pipes according to claim 4 and the prediction technique of deformation, It is characterized in that, the elastic strain is obtained by the relevant elasticity modulus of temperature and Poisson's ratio;The thermal strain passes through temperature Relevant thermal expansion coefficient is solved;The plastic strain is surrendered according to the von Mises with kinematic hardening feature Face solves and is calculated.
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CN110717291A (en) * 2019-09-26 2020-01-21 华中科技大学 Welding structure deformation simulation method, device, equipment and storage medium
CN111597659A (en) * 2020-05-25 2020-08-28 中国工程物理研究院总体工程研究所 Finite element evaluation method for strength of disc spring
CN112646965A (en) * 2020-11-13 2021-04-13 中国原子能科学研究院 Manufacturing method for controlling deformation of ferrite/martensite steel hexagonal pipe
CN110688798B (en) * 2019-09-26 2021-06-01 华中科技大学 Deformation prediction method, device, equipment and storage medium for shell structural part
CN113378442A (en) * 2021-06-30 2021-09-10 湖南大学 Characterization method of residual stress of aluminum alloy forging
WO2023155385A1 (en) * 2022-02-17 2023-08-24 深圳中广核工程设计有限公司 Mechanical analysis processing method and apparatus for nuclear power plant support member, device, and medium
CN117236139A (en) * 2023-11-09 2023-12-15 华电重工机械有限公司 Wind power tower welding residual stress prediction method

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Publication number Priority date Publication date Assignee Title
CN110717291A (en) * 2019-09-26 2020-01-21 华中科技大学 Welding structure deformation simulation method, device, equipment and storage medium
CN110717291B (en) * 2019-09-26 2021-05-04 华中科技大学 Welding structure deformation simulation method, device, equipment and storage medium
CN110688798B (en) * 2019-09-26 2021-06-01 华中科技大学 Deformation prediction method, device, equipment and storage medium for shell structural part
CN111597659A (en) * 2020-05-25 2020-08-28 中国工程物理研究院总体工程研究所 Finite element evaluation method for strength of disc spring
CN111597659B (en) * 2020-05-25 2022-05-03 中国工程物理研究院总体工程研究所 Finite element evaluation method for strength of disc spring
CN112646965A (en) * 2020-11-13 2021-04-13 中国原子能科学研究院 Manufacturing method for controlling deformation of ferrite/martensite steel hexagonal pipe
CN113378442A (en) * 2021-06-30 2021-09-10 湖南大学 Characterization method of residual stress of aluminum alloy forging
CN113378442B (en) * 2021-06-30 2022-05-10 湖南大学 Characterization method of residual stress of aluminum alloy forging
WO2023155385A1 (en) * 2022-02-17 2023-08-24 深圳中广核工程设计有限公司 Mechanical analysis processing method and apparatus for nuclear power plant support member, device, and medium
CN117236139A (en) * 2023-11-09 2023-12-15 华电重工机械有限公司 Wind power tower welding residual stress prediction method
CN117236139B (en) * 2023-11-09 2024-02-27 华电重工机械有限公司 Wind power tower welding residual stress prediction method

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