WO2023151233A1 - 基于虚拟应变能的金属材料多轴疲劳寿命预测方法与系统 - Google Patents

基于虚拟应变能的金属材料多轴疲劳寿命预测方法与系统 Download PDF

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WO2023151233A1
WO2023151233A1 PCT/CN2022/107269 CN2022107269W WO2023151233A1 WO 2023151233 A1 WO2023151233 A1 WO 2023151233A1 CN 2022107269 W CN2022107269 W CN 2022107269W WO 2023151233 A1 WO2023151233 A1 WO 2023151233A1
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strain energy
stress
shear
shear strain
plane
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PCT/CN2022/107269
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French (fr)
Chinese (zh)
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王英玉
王文轩
龚帅
张晓凡
姚卫星
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南京航空航天大学
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16CCOMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
    • G16C60/00Computational materials science, i.e. ICT specially adapted for investigating the physical or chemical properties of materials or phenomena associated with their design, synthesis, processing, characterisation or utilisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30Computing systems specially adapted for manufacturing

Definitions

  • the invention relates to a method and system for predicting the multiaxial fatigue life of metal materials based on virtual strain energy, which belongs to the field of life prediction of metal materials in additive manufacturing and can be used in the technical field of aviation systems.
  • AWA additive manufacturing
  • Aircraft structures are subjected to complex multiaxial loads in service. For example, an airfoil as a whole is subjected to shear forces, bending moments, and torques. The skin on the wing will experience both normal and shear stresses. Aircraft landing gear structures are subjected to loads from multiple directions during takeoff and landing. Multiaxial fatigue failure is often the cause of failure of these structures. At present, the prediction of multiaxial fatigue life is mainly by equating the multiaxial stress state to the uniaxial stress state, and then predicting the fatigue life according to the uniaxial stress life curve. These methods can be divided into stress criteria, strain criteria and energy criteria.
  • the energy criterion believes that the accumulation of energy near the fatigue danger point is the cause of fatigue damage, which is more in line with the internal mechanism of fatigue damage. At the same time, energy is a scalar quantity, and the calculation process is relatively simple. However, various methods are suitable for specific materials or loading conditions, and there is currently no recognized method for multiaxial fatigue life prediction of additively manufactured metal materials that meets the requirements of engineering structure design.
  • the purpose of the present invention is to provide a multi-axial virtual strain energy processing method to solve the problem of multi-axial fatigue life prediction of metal materials in additive manufacturing.
  • a method for predicting the multiaxial fatigue life of metal materials based on virtual strain energy comprising the following steps:
  • said step (1) includes:
  • three-dimensional modeling software is used to draw the geometric model of the component, and the mesh is divided, and the mesh is refined near the fatigue dangerous point; the material properties are assigned to the finite element model, and boundary conditions are added to the finite element model, Simulate the load condition of the component in the real environment; obtain the stress-strain load time history at the dangerous point through finite element analysis.
  • the shear strain energy calculation method on each plane passing through the dangerous point in the step (2) includes:
  • a local Cartesian coordinate system Oxyz is established at the fatigue hazard point O, and any plane ⁇ passing through the hazard point O can be used for two direction vectors and a plane
  • the vector a is the intersection line between the plane ⁇ and the plane Oxy in the coordinate system Oxyz
  • the vector b is a vector perpendicular to the a-axis on the plane ⁇
  • n is the normal vector of the plane ⁇ .
  • the position relationship between the vector n, a, b and the coordinate system Oxyz can use three angles said, among them, is the angle between the direction normal vector n of the plane ⁇ and the x-axis; ⁇ is the angle between the direction normal vector n of the plane ⁇ and the z-axis, and ⁇ is the angle between any vector q and the vector a on the plane ⁇ .
  • the stress-strain load time history at the dangerous point O is represented by the following matrix:
  • ⁇ x (t), ⁇ y (t), ⁇ z (t) are normal stress components
  • ⁇ xy (t), ⁇ yz (t) are shear stress components
  • ⁇ x ( t) are positive strain components
  • ⁇ xy (t) ⁇ yz (t)
  • ⁇ xz (t) are shear strain components
  • t is in the interval [0, T] at any time
  • the mean value of the normal stress ⁇ n,m on any plane is defined as the average value of the integral of the normal stress in the interval [0,T], and the amplitude of the normal stress ⁇ n,a is defined by the variance of the normal stress
  • the 4 ⁇ a ⁇ a multiaxial stress ratio ⁇ is defined as the ratio of the maximum normal stress ⁇ n,max to the shear stress amplitude ⁇ a :
  • the shear strain energy life curve under uniaxial tension and compression load and torsional load is determined according to the following method:
  • is the shear strain energy
  • N f is the lifetime
  • the normalized virtual strain energy W V in the step (3) is expressed as:
  • the present invention provides a multi-axis fatigue life prediction system for metal materials based on virtual strain energy, including an input module, a processing module and an output module, the input module is used to input the geometric model of the metal member and the external load ; The output module is used to display the life of the predicted metal component under a given external load; the processing module includes:
  • the stress-strain calculation unit is used to conduct finite element analysis on metal components, determine the dangerous point and calculate the stress-strain load time history at the dangerous point;
  • the critical surface calculation unit is used to calculate the shear strain energy of each plane passing through the dangerous point, and the plane with the largest shear strain energy is used as the critical surface to obtain the shear strain energy and the multiaxial stress ratio on the critical surface;
  • the shear strain energy is defined as is the product of the shear stress amplitude and the shear strain amplitude
  • the multiaxial stress ratio is defined as the ratio of the maximum value of the normal stress on the critical surface to the shear stress amplitude;
  • Shear strain energy is the normalized strain energy.
  • the shear-strain energy life curve under uniaxial tension-compression load and torsional load is generated by a power function fitting unit, and the power function fitting unit is used to calculate each fatigue life curve under uniaxial tension-compression load and torsional load respectively.
  • the shear strain energy on the critical surface of the data points is connected end to end to draw the shear strain energy-life curve, and the parameters A 1 , B 1 , A 3 , B 3 .
  • the normalized virtual strain energy W V in the prediction unit is expressed as:
  • a computer system provided by the present invention includes a memory, a processor, and a computer program stored on the memory and operable on the processor.
  • the computer program When the computer program is loaded into the processor, the described Multiaxial fatigue life prediction method for metallic materials based on virtual strain energy.
  • the present invention analyzes the shear strain energy life curves of typical ductile metal materials under uniaxial tension, compression and torsion states, and finds that the shear strain energy and life under the two loading conditions have a good logarithmic linear relationship, based on the following Two points are considered to normalize the shear strain energy to obtain the virtual strain energy, and use the shear strain energy life curve of torsional load for life prediction, so that it can be used for life analysis problems of different load paths: one is the fatigue crack of ductile metal materials The behavior is manifested as shear failure, and the shear strain energy life curve of torsional load is more intuitive; second, the shear strain energy life curve of torsional load is often located at the top of all curves, and it is more intuitive to fit under this curve, and normalized The coefficient form is relatively simple.
  • the traditional stress criterion is often used for high cycle fatigue with small plastic strain
  • the strain criterion is often used for low cycle fatigue with large plastic strain.
  • the present invention adopts the energy criterion of multiplying stress and strain to take into account both low cycle and high cycle fatigue. .
  • Fig. 1 is an overall flow chart of the embodiment of the present invention.
  • Fig. 2 is a schematic diagram of definition of a local coordinate system at a dangerous point involved in an embodiment of the present invention.
  • Fig. 3 is a flow chart of detailed calculation of fatigue life in an embodiment of the present invention.
  • Fig. 4 is a graph showing the change of shear strain energy with the service life of the 316L steel of the experimental example of the present invention under uniaxial tension, compression and torsional loads.
  • Fig. 5 is a schematic diagram of grid division for finite element modeling of an experimental example of the present invention.
  • Fig. 6 is a graph comparing the prediction results and test results of the experimental example of the present invention.
  • Fig. 7 is a schematic diagram of the module structure of the embodiment of the present invention.
  • the material properties are given to the finite element model, and the linear elastic or elastoplastic constitutive model is selected according to whether the material has plastic strain during the fatigue test;
  • the finite element analysis obtains the stress-strain load time history at the dangerous point O for subsequent calculation.
  • a local Cartesian coordinate system Oxyz is established at the fatigue hazard point O, and any plane ⁇ passing through the hazard point O can be used for two direction vectors and a plane
  • the vector a is the intersection line between the plane ⁇ and the plane Oxy in the coordinate system Oxyz
  • the vector b is a vector perpendicular to the a-axis on the plane ⁇
  • n is the normal vector of the plane ⁇ .
  • the position relationship between the vector n, a, b and the coordinate system Oxyz can use three angles said, among them, is the angle between the direction normal vector n of the plane ⁇ and the x-axis; ⁇ is the angle between the direction normal vector n of the plane ⁇ and the z-axis, and ⁇ is the angle between any vector q and the vector a on the plane ⁇ .
  • the stress-strain load time history at the dangerous point O can be expressed by the following matrix:
  • ⁇ x (t), ⁇ y (t), ⁇ z (t) are normal stress components
  • ⁇ xy (t), ⁇ yz (t) are shear stress components
  • ⁇ x ( t), ⁇ y (t), ⁇ z (t) are positive strain components
  • ⁇ xy (t), ⁇ yz (t) are shear strain components
  • t is in the interval [0, T] any moment.
  • the mean value of the normal stress ⁇ n,m on any plane is defined as the average value of the integral of the normal stress in the interval [0,T], and the amplitude of the normal stress ⁇ n,a is defined by the variance of the normal stress
  • the multiaxial stress ratio ⁇ is defined as the ratio of the maximum normal stress ⁇ n,max to the shear stress amplitude ⁇ a , namely:
  • the virtual strain energy is the strain energy after normalization of the shear strain energy in the shear strain energy life curve under uniaxial tension-compression load and torsional load.
  • the shear strain energy life curve under uniaxial tension-compression load and torsional load is determined in advance according to the data of uniaxial tension-compression and torsional fatigue test of the material. Specifically:
  • the virtual strain energy calculates the fatigue life by normalizing the shear strain energy for different load paths:
  • the multiaxial stress ratio ⁇ is used to reflect the influence of different load paths.
  • the solution of the present invention will be further verified with a specific experimental example below.
  • the material used in this example is 316L stainless steel produced by selective laser melting. Fatigue tests with multiple load paths, namely uniaxial tension-compression, torsion, proportional and 90° non-proportional multiaxial loading, were carried out.
  • the finite element analysis of the test piece is carried out to determine the dangerous point and calculate the stress-strain load time history [ ⁇ (t)], [ ⁇ (t)] at the dangerous point; then the shear strain energy ⁇ and Multiaxial stress ratio ⁇ ; then determine the model parameters A 1 , B 1 , A 3 , and B 3 according to the uniaxial tension-compression and torsion fatigue test data of the material; finally calculate the virtual strain energy W V at the dangerous point under the load to be determined and solve Lifetime N f .
  • the detailed process is as follows:
  • test piece used in this example is additively manufactured 316L steel, a solid round bar with a gauge length of 38mm and a diameter of 12mm.
  • Use MTS809 tension and torsion testing machine to carry out uniaxial tension and compression without average stress, torsion, multiaxial proportional load, 90° non-proportional load and uniaxial tension and compression with average stress, multiaxial proportional load, 90° non-proportional load test .
  • the fatigue data of the uniaxial tension-compression and torsion test pieces are used to determine the parameters of the model of the present invention, and the fatigue data of other load paths are used to verify the correctness of the model of the present invention.
  • the specific test data are as shown in table 1, wherein the load ratio R is The ratio of the minimum value to the maximum value of the stress is used to describe the size of the average stress, and the phase angle ⁇ is the phase difference between the normal stress and the shear stress, which is used to describe the degree of non-proportionality.
  • the finite element software Patran & Nastran is used for finite element analysis.
  • the center of mass of the test piece is taken as the origin, and the axial direction of the test piece is the x-axis, and the overall coordinate system is established. Since the stress-strain state of each point on the surface of the gauge section of the smooth specimen is the same, cracks may initiate from any position on the surface of the gauge section. It may be assumed that the fatigue dangerous point is a point with coordinates (0,6,0).
  • Mesh division adopts the method of establishing two-dimensional shell elements first, and then rotating and sweeping along the axis to generate three-dimensional solid elements, and locally encrypts the fatigue dangerous points, and divides 20 elements into 1mm.
  • the finite element modeling results are shown in Figure 5.
  • one end of the test piece is fixed, and the other end is established with MPC and load is applied.
  • an embodiment of the present invention provides a virtual strain energy-based multiaxial fatigue life prediction system for metal materials, as shown in Figure 7, including an input module, a processing module and an output module, the input module is used for Input the geometric model of the metal component and the external load; the output module is used to display the predicted life of the metal component under a given external load; the processing module includes: a stress-strain calculation unit for performing finite element analysis on the metal component, Determine the dangerous point and calculate the stress-strain load time history at the dangerous point; the critical surface calculation unit is used to calculate the shear strain energy of each plane passing through the dangerous point, and the plane with the largest shear strain energy is the critical surface to obtain the critical surface The shear strain energy and the multiaxial stress ratio; where the shear strain energy is defined as the product of the shear stress amplitude and the shear strain amplitude, and the multiaxial stress ratio is defined as the ratio of the maximum value of the normal stress on the critical surface to the shear stress amplitude; and The prediction unit is used to
  • the shear-strain energy life curve under uniaxial tension-compression load and torsional load is generated by a power function fitting unit, which is used to calculate the critical surface of each fatigue data point under uniaxial tension-compression and torsional load respectively.
  • the shear strain energy is connected end to end to draw the shear strain energy-life curve, and the power function is used to fit and solve the parameters of the shear strain energy-life curve under the two loading conditions.
  • a computer system provided by an embodiment of the present invention includes a memory, a processor, and a computer program stored in the memory and operable on the processor.
  • the computer program When the computer program is loaded into the processor, the A multiaxial fatigue life prediction method for metallic materials based on virtual strain energy.
  • the storage medium includes: a U disk, a mobile hard disk, a read-only memory ROM, a random access memory RAM, a magnetic disk or an optical disk, and other media capable of storing computer programs.

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PCT/CN2022/107269 2022-02-09 2022-07-22 基于虚拟应变能的金属材料多轴疲劳寿命预测方法与系统 WO2023151233A1 (zh)

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