Decomposition Of Strain Rate Research Articles

002 Physical background of additive decomposition of strain rate in hypoelastic-based plasticity

002 Physical background of additive decomposition of strain rate in hypoelastic-based plasticity

Numerical Implementation of a Multi-Physical Fields Coupling Constitute Model

The objective of this paper provides a numerical implementation procedure of thermo-metallurgical-mechanical constitute equation based on additively decomposition of strain rate. Together with phase transformation kinetics, the macro material properties are determined by assigning temperature dependent material properties to each phase and by applying mixture rule to combine. Then the constitute equation is implemented into general purpose implicit finite element program via user material subroutine. The effectiveness of developed computational method is confirmed by a Satoh test simulation. Simulation of Satoh test demonstrates that transformation induce plasticity has significant effect of the evolution of residual stress and can not be neglected for alloy steel during hot working process.

2424 自然歪を用いた有限変形の弾塑性解析 : 純粋剪断と単軸引張における歪速度の弾塑性分解の定式化について(OS24.一般セッション(5),オーガナイズドセッション)

2424 自然歪を用いた有限変形の弾塑性解析 : 純粋剪断と単軸引張における歪速度の弾塑性分解の定式化について(OS24.一般セッション(5),オーガナイズドセッション)

Elasto-Plastic Micro-Macro Modelling of Solid-Solid Phase Transformation ; Application to Transformation Induced Plasticity

Classical plasticity (dislocation motion) coupled to deformation due to lattice changes (phase transformation) occurs in several materials where interfaces are moving under external forces (TRIP (TRansformation Induced Plasticity) steels, even shape memory alloys). In the case of steels (transformation induced plasticity) the internal stress associated with the phase change induces a large additional plastic flow inside austenite and martensite. We propose a micromechanical modelling of such a phenomenon based on a decomposition of strain rate into an elastoplastic part and a given lattice inelastic strain rate field is obtained. The self consistent approximation allows to determine the behavior of the equivalent material and the equivalent transformation strain rate. Applications in the case of cooling under constant applied stresses and isothermal loading give results in good agreement with Finite Element calculations and theoretical results