An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants

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	An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants
	Liu F(刘芳); Fu Q(付强); Chen C(陈岑); Liang NG(梁乃刚)
刊名	International Journal of Plasticity
	2011
通讯作者邮箱	liufang@lnm.imech.ac.cn
卷号	27 期号:9 页码:1355-1383
关键词	Subsequent Yield Surface Non-Proportional Loading Finite Deformation Elasto-Plastic Damage Constitutive Relation Component Assembling Model Component Assembling Model Metal Plasticity Polycrystalline Metals Induced Anisotropy Aluminum-Alloy Distortion Thermodynamics Deformation Mechanics Extension
ISSN号	0749-6419
通讯作者	Liu, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
产权排序	[Liu Fang; Fu Qiang; Chen Cen; Liang Naigang] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
中文摘要	Based on pair functional potentials, Cauchy-Born rule and slip mechanism, a material model assembling with spring-bundle components, a cubage component and slip components is established to describe the elasto-plastic damage constitutive relation under finite deformation. The expansion/shrink, translation and distortion of yield surfaces can be calculated based on the hardening rule and Bauschinger effect defined on the slip component level. Both kinematic and isotropic hardening are included. Numerical simulations and predictions under tension, torsion, and combined tension-torsion proportional/non-proportional loading are performed to obtain the evolution of subsequent yield surfaces and elastic constants and compare with two sets of experimental data in literature, one for a very low work hardening aluminum alloy Al 6061-T6511, and another for a very high work hardening aluminum alloy annealed 1100 Al. The feature of the yield surface in shape change, which presents a sharp front accompanied by a blunt rear under proportional loading, is described by the latent hardening and Bauschinger effect of slip components. Further, the evolution law of subsequent yield surfaces under different proportional loading paths is investigated in terms of their equivalence. The numerical simulations under non-proportional loading conditions for annealed 1100 Al are performed, and the subsequent yield surfaces exhibit mixed cross effect because the kinematic hardening and isotropic hardening follow different evolution tendency when loading path changes. The results of non-proportional loading demonstrate that the present model has the ability to address the issue of complex loading due to the introduction of state variables on slip components. Moreover, as an elasto-plastic damage constitutive model, the present model can also reflect the variation of elastic constants through damage defined on the spring-bundle components. (C) 2011 Elsevier Ltd. All rights reserved.
学科主题	Engineering; Materials Science; Mechanics
分类号	一类
类目[WOS]	Engineering, Mechanical ; Materials Science, Multidisciplinary ; Mechanics
研究领域[WOS]	Engineering ; Materials Science ; Mechanics
关键词[WOS]	COMPONENT ASSEMBLING MODEL ; METAL PLASTICITY ; POLYCRYSTALLINE METALS ; INDUCED ANISOTROPY ; ALUMINUM-ALLOY ; DISTORTION ; THERMODYNAMICS ; DEFORMATION ; MECHANICS ; EXTENSION
收录类别	SCI ; EI
资助信息	The authors thank Prof. Khan, A.S. for providing the experimental data of Al 6061-T6511. This work was supported by the National Natural Science Foundation of China under Grant Nos. 10572140 and 11021262.
原文出处	http://dx.doi.org/10.1016/j.ijplas.2011.03.002
语种	英语
WOS记录号	WOS:000292428700003
公开日期	2012-04-01
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/44913]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Liu F,Fu Q,Chen C,et al. An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants[J]. International Journal of Plasticity,2011,27(9):1355-1383.
APA	刘芳,付强,陈岑,&梁乃刚.(2011).An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants.International Journal of Plasticity,27(9),1355-1383.
MLA	刘芳,et al."An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants".International Journal of Plasticity 27.9(2011):1355-1383.