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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); Liang, NG (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Source PublicationCHINESE JOURNAL OF AERONAUTICS
2010
Volume23Issue:6Pages:686-697
ISSN1000-9361
AbstractThe 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.
KeywordElasto-plastic Damage Constitutive Relation Finite Deformation Pair Functional Potentials Cauchy-born Rule Slip Mechanism Component Assembling Model
DOI10.1016/S1000-9361(09)60271-5
Indexed BySCI ; EI
Language英语
WOS IDWOS:000288459800009
WOS KeywordCOMPONENT ASSEMBLING MODEL ; BRITTLE DAMAGE ; PLASTICITY ; FRACTURE ; MICROMECHANICS ; SIMULATION ; DEFORMATION ; METALS ; STRAIN
WOS Research AreaEngineering
WOS SubjectEngineering, Aerospace
Funding OrganizationNational Natural Science Foundation of China [10572140, 10721202]
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58598
Collection非线性力学国家重点实验室
Corresponding AuthorLiang, NG (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Recommended Citation
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,&Liang, NG .(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.
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