| 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.
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| 发表期刊 | CHINESE JOURNAL OF AERONAUTICS
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| 2010
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| 卷号 | 23期号:6页码:686-697 |
| ISSN | 1000-9361
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| 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. |
| 关键词 | Elasto-plastic Damage Constitutive Relation
Finite Deformation
Pair Functional Potentials
Cauchy-born Rule
Slip Mechanism
Component Assembling Model
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| DOI | 10.1016/S1000-9361(09)60271-5
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000288459800009
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| 关键词[WOS] | COMPONENT ASSEMBLING MODEL
; BRITTLE DAMAGE
; PLASTICITY
; FRACTURE
; MICROMECHANICS
; SIMULATION
; DEFORMATION
; METALS
; STRAIN
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| WOS研究方向 | Engineering
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| WOS类目 | Engineering, Aerospace
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| 项目资助者 | National Natural Science Foundation of China [10572140, 10721202]
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/58598
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| 专题 | 非线性力学国家重点实验室
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| 通讯作者 | Liang, NG (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. |
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.
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| 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.
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| 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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