A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading
文献类型：期刊论文
| 作者 | LiJ; Mayau D; Song F(宋凡)
|
| 刊名 | International Journal of Solids and Structures
 |
| 出版日期 | 2007 |
| 卷号 | 44期号:18-19页码:6080-6100 |
| 通讯作者邮箱 | jia.li@lpmtm.univ-paris |
| 关键词 | Rubber Compressible Materials Cavitation Cavity Growth Homogenization Damage Fracture Hydrostatic Tension Acoustic-Emission Solids Deformation Equilibrium Instability Bifurcation Elasticity Elastomers Damage |
| ISSN号 | 0020-7683 |
| 通讯作者 | Li, J (reprint author), Univ Paris 13, Inst Galilee, LPMTM, CNRS,UPR 9001, 99 Ave Jean Baptise Clement, F-93430 Villetaneuse, France. |
| 中文摘要 | In this paper, we attempted to construct a constitutive model to deal with the phenomenon of cavitation and cavity growth in a rubber-like material subjected to an arbitrary tri-axial loading. To this end, we considered a spherical elementary representative volume in a general Rivlin's incompressible material containing a central spherical cavity. The kinematics proposed by [Hou, H.S., Abeyaratne, R., 1992. Cavitation in elastic and elastic-plastic solids. J. Mech. Phys. Solids 40, 571-722] was adopted in order to construct an approximate but optimal field. In order to establish a suitable constitutive law for this class of materials, we utilized the homogenisation technique that permits us to calculate the average strain energy density of the volume. The cavity growth was considered through a physically realistic failure criterion. Combination of the constitutive law and the failure criterion enables us to describe correctly the global behaviour and the damage evolution of the material under tri-axial loading. It was shown that the present models can efficiently reproduce different stress states, varying from uniaxial to tri-axial tensions, observed in experimentations. Comparison between predicted results and experimental data proves that the proposed model is accurate and physically reasonable. Another advantage is that the proposed model does not need special identification work, the initial Rivlin's law for the corresponding incompressible material is sufficient to form the new law for the compressible material resulted from cavitation procedure. (C) 2007 Elsevier Ltd. All rights reserved. |
| 类目[WOS] | Mechanics |
| 研究领域[WOS] | Mechanics |
| 关键词[WOS] | HYDROSTATIC TENSION ; ACOUSTIC-EMISSION ; SOLIDS ; DEFORMATION ; EQUILIBRIUM ; INSTABILITY ; BIFURCATION ; ELASTICITY ; ELASTOMERS ; DAMAGE |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000249214700015 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33923]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | LiJ,Mayau D,Song F. A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading[J]. International Journal of Solids and Structures,2007,44(18-19):6080-6100. |
| APA | LiJ,Mayau D,&宋凡.(2007).A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading.International Journal of Solids and Structures,44(18-19),6080-6100. |
| MLA | LiJ,et al."A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading".International Journal of Solids and Structures 44.18-19(2007):6080-6100. |
入库方式： OAI收割
来源：力学研究所
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