工程科学学报Issue(8):1076-1083,8.DOI:10.13374/j.issn2095-9389.2015.08.016
耦合孪生晶体塑性模型硬化参数的灵敏度分析
Sensitivity analysis of hardening parameters in the crystal plasticity model exhibiting deformation twinning
摘要
Abstract
A crystal plasticity model exhibiting deformation twinning is introduced based on the classical crystal plasticity theory, and its numerical implementation is conducted in which a fully implicit integration procedure is employed. In this constitutive model, the saturation-type hardening law is adopted and the direct proportion relationship between twin resistance and slip hardening is used to describe the effect of twinning on slip hardening and twin hardening. By considering the physical meaning of all the 13 parameters in this model, the classification methodology is presented for these parameters. Taking Fe- 22Mn- 0. 6C twinning induced plasticity ( TWIP) steel as an example, a local sensitivity analysis of hardening parameters is investigated emphatically. The effects of hardening parameters on the macro-mechanical response, the activation and evolution of twinning and the strategy for determining the hardening parameters are discussed. According to the difference of deformation mechanisms, the macroscopic deformation are divided into a twin hardening stage and a twin hardening failure stage. And then the determination method and the suggestive ranges for the hardening parameters are given. It is found that the initial slip resistance is linearly associated with the yield limit, and the value of initial resist-ance stress ranges from 80 MPa to 160 MPa. The twin hardening stage weakens when the twin hardening index increases, the range of values allowed for the twin hardening index is 0 to 3. When the ratio between twinning resistance and slip resistance increases, the growth rate of twinning decreases and the turning point of the hardening stage moves backward until it is disappeared. The range of val-ues for the ratio between twinning resistance and slip resistance will be 1 to 1. 3.关键词
孪生/晶体塑性/本构模型/灵敏度分析/硬化参数Key words
twinning/crystal plasticity/constitutive models/sensitivity analysis/hardening parameters分类
矿业与冶金引用本文复制引用
杨竞,黄杰,孙朝阳,郭宁,王斌..耦合孪生晶体塑性模型硬化参数的灵敏度分析[J].工程科学学报,2015,(8):1076-1083,8.基金项目
国家自然科学基金资助项目(51105029,51575039) (51105029,51575039)
国家自然科学基金委员会-中国工程物理研究院联合基金资助项目(U1330121) (U1330121)
非线性力学国家重点实验室开放基金资助项目(LNM201512) (LNM201512)
北京市自然科学基金资助项目(3112019) (3112019)
北京市教委重点基金资助项目(KZ201010005002) (KZ201010005002)