An Elasto-Plastic Damage Constitutive Theory Based on Pair Functional Potentials and Slip Mechanism

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	An Elasto-Plastic Damage Constitutive Theory Based on Pair Functional Potentials and Slip Mechanism
	Liu F(刘芳); Fu Q(付强); Chen C(陈岑); Liang NG(梁乃刚)
刊名	CHINESE JOURNAL OF AERONAUTICS
	2010
通讯作者邮箱	lng@lnm.imech.ac.cn
卷号	23 期号:6 页码:686-697
关键词	elasto-plastic damage constitutive relation finite deformation pair functional potentials Cauchy-Born rule slip mechanism component assembling model
ISSN号	1000-9361
通讯作者	Liang, NG (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	The deformation work rate can be expressed by the time rate of pair functional potentials which describe the energy of materials in terms of atomic bonds and atom embedding interactions. According to Cauchy-Born rule, the relations between the microscopic deformations of atomic bonds and electron gas and macroscopic deformation are established. Further, atomic bonds are grouped according to their directions, and atomic bonds in the same direction are simplified as a spring-bundle component. Atom embedding interactions in unit reference volume are simplified as a cubage component. Consequently, a material model composed of spring-bundle components and a cubage component is established. Since the essence of damage is the decrease and loss of atomic bonding forces, the damage effect can be reflected by the response functions of these two kinds of components. Formulating the mechanical responses of two kinds of components, the corresponding elasto-damage constitutive equations are derived. Considering that slip is the main plastic deformation mechanism of polycrystalline metals, the slip systems of crystal are extended to polycrystalline, and the slip components are proposed to describe the plastic deformation. Based on the decomposition of deformation gradient and combining the plastic response with the elasto-damage one, the elasto-plastic damage constitutive equations are derived. As a result, a material model formulated with spring-bundle components, a cubage component and slip components is established. Different from phenomenological constitutive theories, the mechanical property of materials depends on the property of components rather than that directly obtained on the representative volume element. The effect of finite deformation is taken into account in this model. Parameter calibration procedure and the basic characteristics of this model are discussed.
类目[WOS]	Engineering, Aerospace
研究领域[WOS]	Engineering
关键词[WOS]	COMPONENT ASSEMBLING MODEL ; BRITTLE DAMAGE ; PLASTICITY ; FRACTURE ; MICROMECHANICS ; SIMULATION ; DEFORMATION ; METALS ; STRAIN
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000288459800009
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/58598]
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 Based on Pair Functional Potentials and Slip Mechanism[J]. CHINESE JOURNAL OF AERONAUTICS,2010,23(6):686-697.
APA	刘芳,付强,陈岑,&梁乃刚.(2010).An Elasto-Plastic Damage Constitutive Theory Based on Pair Functional Potentials and Slip Mechanism.CHINESE JOURNAL OF AERONAUTICS,23(6),686-697.
MLA	刘芳,et al."An Elasto-Plastic Damage Constitutive Theory Based on Pair Functional Potentials and Slip Mechanism".CHINESE JOURNAL OF AERONAUTICS 23.6(2010):686-697.