A macroscopic based multi-mechanism constitutive model is constructed in the framework of irreversible thermodynamics to describe the degeneration of shape memory effect occurring in the thermo-mechanical cyclic defor...A macroscopic based multi-mechanism constitutive model is constructed in the framework of irreversible thermodynamics to describe the degeneration of shape memory effect occurring in the thermo-mechanical cyclic deformation of NiTi shape memory alloys (SMAs). Three phases, austenite A, twinned martensite and detwinned martensite , as well as the phase transitions occurring between each pair of phases (, , , , and are considered in the proposed model. Meanwhile, two kinds of inelastic deformation mechanisms, martensite transformation-induced plasticity and reorientation-induced plasticity, are used to explain the degeneration of shape memory effects of NiTi SMAs. The evolution equations of internal variables are proposed by attributing the degeneration of shape memory effect to the interaction between the three phases (A, , and and plastic deformation. Finally, the capability of the proposed model is verified by comparing the predictions with the experimental results of NiTi SMAs. It is shown that the degeneration of shape memory effect and its dependence on the loading level can be reasonably described by the proposed model.展开更多
The traditional Hertz contact theory has been widely used in solving contact problems.However,it is only applicable to the elastic contact,and cannot truly reflect the contact stress distribution and contact radius in...The traditional Hertz contact theory has been widely used in solving contact problems.However,it is only applicable to the elastic contact,and cannot truly reflect the contact stress distribution and contact radius in the elasto-plastic contact.In this work,based on the Hertz contact theory,a fast solving method is proposed to calculate the contact stress distribution and contact radius in the elasto-plastic contact between two spheres.It is assumed that the elastic contact only occurs at the outer edge of contact patch and its contact stress distribution satisfies the Hertz contact theory,and the contact stress distribution at the inner edge of contact patch can be superimposed by a constant contact stress and several small ellipsoidal contact stress distributions.Moreover,based on the equivalent relation between the resultant force of contact stress and the normal external load,the contact radius in the elasto-plastic contact can be solved.Finally,an elasto-plastic contact example of two spheres is given based on the power-law hardening material model,and the influences of material parameters,contact radii and normal external loads on the accuracy of the proposed method are discussed by comparing the differences between the numerical results by finite element method and the predicted ones by the proposed method.It is shown that the proposed method can accurately calculate the maximum contact stress and contact radius in the elasto-plastic contact,and the relative errors of both maximum contact stress and contact radius are within±5%.To sum up,the proposed fast solving method can be applied to perform the elasto-plastic contact analysis in engineering practice.展开更多
The cyclic transformation behaviors of polycrystalline super-elastic NiTi shape memory alloys (SMAs)under multiaxial loading paths with different angles between axial and torsional loading orientations were experiment...The cyclic transformation behaviors of polycrystalline super-elastic NiTi shape memory alloys (SMAs)under multiaxial loading paths with different angles between axial and torsional loading orientations were experimentally investigated.The experimental results showed that the start stresses of forward and reverse transformations decreased with the increase'in the number of cycles and exhibit obvious anisotropic evolutions.The start stresses of forward and reverse transformations in the tensile and torsional directions did not satisfy the yon Mises criterion.The shape of transformation surface during the forward and reverse transformations evolved with the increase in the number of cycles.Then,new cyclic anisotropic transformation surfaces were established by introducing an anisotropic tensor into the von Mises equivalent stress based on a typical transformation criterion related to J2 and J3.Moreover,the evolution equations of material parameters used in the proposed transformation surfaces were established to describe the subsequent evolutions of transformation surfaces.Finally,the start stresses of forward and reverse transformations predicted using the proposed transformation surfaces were compared with the experimental results.It shows that the proposed transformation surfaces can reasonably describe the start stresses of forward and reverse transformations,which are helpful for establishing a three-dimensional cyclic constitutive model to describe the cyclic transformation behaviors of super-elastic NiTi SMAs.展开更多
基金Financial supports by the National Natural Science Foundation of China (Grant 11532010)the project for Sichuan Provincial Youth Science and Technology Innovation Team, China (Grant 2013TD0004)
文摘A macroscopic based multi-mechanism constitutive model is constructed in the framework of irreversible thermodynamics to describe the degeneration of shape memory effect occurring in the thermo-mechanical cyclic deformation of NiTi shape memory alloys (SMAs). Three phases, austenite A, twinned martensite and detwinned martensite , as well as the phase transitions occurring between each pair of phases (, , , , and are considered in the proposed model. Meanwhile, two kinds of inelastic deformation mechanisms, martensite transformation-induced plasticity and reorientation-induced plasticity, are used to explain the degeneration of shape memory effects of NiTi SMAs. The evolution equations of internal variables are proposed by attributing the degeneration of shape memory effect to the interaction between the three phases (A, , and and plastic deformation. Finally, the capability of the proposed model is verified by comparing the predictions with the experimental results of NiTi SMAs. It is shown that the degeneration of shape memory effect and its dependence on the loading level can be reasonably described by the proposed model.
基金the Major Science and Technology Special Project of Sichuan Province(Grant No.2020ZDZX0009)the National Natural Science Foundation of China(Grant Nos.12222209 and 51875574).
基金supported by the National Natural Science Foundation of China(Grant Nos.12102372 and 11872324)the Natural Science Foundation of Southwest University of Science and Technology(Grant Nos.20zx7115 and 22dsts07)。
基金Financial supports by the Joint Fund for Basic Research of High-Speed Railways(U1734207)National Key Research and Development Plan(2017YFB0304500)+2 种基金National Natural Science Foundation of China(11572265)the Projects of Sichuan Province(Nos.2017JQ0019,2017HH0038)the Projects of Traction Power State Key Laboratory(Nos.TPL1606,2017TPL_T04)are acknowledged.
文摘The traditional Hertz contact theory has been widely used in solving contact problems.However,it is only applicable to the elastic contact,and cannot truly reflect the contact stress distribution and contact radius in the elasto-plastic contact.In this work,based on the Hertz contact theory,a fast solving method is proposed to calculate the contact stress distribution and contact radius in the elasto-plastic contact between two spheres.It is assumed that the elastic contact only occurs at the outer edge of contact patch and its contact stress distribution satisfies the Hertz contact theory,and the contact stress distribution at the inner edge of contact patch can be superimposed by a constant contact stress and several small ellipsoidal contact stress distributions.Moreover,based on the equivalent relation between the resultant force of contact stress and the normal external load,the contact radius in the elasto-plastic contact can be solved.Finally,an elasto-plastic contact example of two spheres is given based on the power-law hardening material model,and the influences of material parameters,contact radii and normal external loads on the accuracy of the proposed method are discussed by comparing the differences between the numerical results by finite element method and the predicted ones by the proposed method.It is shown that the proposed method can accurately calculate the maximum contact stress and contact radius in the elasto-plastic contact,and the relative errors of both maximum contact stress and contact radius are within±5%.To sum up,the proposed fast solving method can be applied to perform the elasto-plastic contact analysis in engineering practice.
基金National Natural Science Foundation of China (1157226511532010),the Excellent Youth Found of Sichuan Province (2017JQ0019),the Open Project of Traction Power State Key Laboratory (TPL1606)and the Exploration Project of Traction Power State Key Laboratory (2017TPL_T04)are acknowledged.
文摘The cyclic transformation behaviors of polycrystalline super-elastic NiTi shape memory alloys (SMAs)under multiaxial loading paths with different angles between axial and torsional loading orientations were experimentally investigated.The experimental results showed that the start stresses of forward and reverse transformations decreased with the increase'in the number of cycles and exhibit obvious anisotropic evolutions.The start stresses of forward and reverse transformations in the tensile and torsional directions did not satisfy the yon Mises criterion.The shape of transformation surface during the forward and reverse transformations evolved with the increase in the number of cycles.Then,new cyclic anisotropic transformation surfaces were established by introducing an anisotropic tensor into the von Mises equivalent stress based on a typical transformation criterion related to J2 and J3.Moreover,the evolution equations of material parameters used in the proposed transformation surfaces were established to describe the subsequent evolutions of transformation surfaces.Finally,the start stresses of forward and reverse transformations predicted using the proposed transformation surfaces were compared with the experimental results.It shows that the proposed transformation surfaces can reasonably describe the start stresses of forward and reverse transformations,which are helpful for establishing a three-dimensional cyclic constitutive model to describe the cyclic transformation behaviors of super-elastic NiTi SMAs.
