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Hyperelastic constitutive relations for porous materials with initial stress

文献类型：期刊论文

作者Zhang, Mengru1,2; Chen, Weiting1,2; Huang, Xianfu1,2; Yuan, Quanzi1,2; Zhao, Ya-Pu1,2; Zhao YP(赵亚溥); Yuan QZ(袁泉子); Huang XF(黄先富)
刊名JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
出版日期2024-12-01
卷号193页码:22
关键词Hyperelasticity Initial stress Porosity Constitutive modeling Shale
ISSN号0022-5096
DOI10.1016/j.jmps.2024.105886
通讯作者Yuan, Quanzi(yuanquanzi@lnm.imech.ac.cn) ; Zhao, Ya-Pu(yzhao@imech.ac.cn)
英文摘要Initial stress is widely observed in porous materials. However, its constitutive theory remains unknown due to the lack of a framework for modeling the interactions between initial stress and porosity. In this study, we construct the porous hyperelastic constitutive model with arbitrary initial stresses through the multiplicative decomposition approach. Based on the compression experiment of shale samples, the parameters in the constitutive equation are determined. Then, the explicit equations of in-plane elastic coefficients are proposed by linearizing the finite deformation formulation. The influences brought by the coexistence of initial stresses and porosity on these coefficients are revealed. Later, comparative analyses of the linearized equations between the present model, the initially-stressed models without pores, the Biot poroelasticity, and the porous hyperelastic model without initial stress are conducted to illustrate the performances of the two ingredients. As a specific example, we investigate the variation of pore sizes under external pressures and initial stresses since changes in pore sizes during deformation are crucial for understanding the accumulation and migration of shale oil and gas. The newly proposed model provides the first initially stressed porous hyperelasticity (ISPH), which is suitable for describing the finite deformation behavior of solid materials with large porosity and significant initial stress simultaneously.
WOS关键词RESIDUAL-STRESS ; NONLINEAR COMPOSITES ; ELASTOMERIC SOLIDS ; MACROSCOPIC INSTABILITIES ; CONSTRAINED MATERIALS ; LINEAR ELASTICITY ; POROELASTIC MODEL ; GENERAL-THEORY ; GAS ; DEFORMATION
资助项目National Natural Science Foundation of China[12241205] ; National Natural Science Foundation of China[12032019] ; National Natural Science Foundation of China[12072346] ; National Key Research and Development Program of China[2022YFA1203200] ; National Key Research and Development Program of China[2022YFA1200061] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0620101] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0620103]
WOS研究方向Materials Science ; Mechanics ; Physics
语种英语
WOS记录号WOS:001333515700001
资助机构National Natural Science Foundation of China ; National Key Research and Development Program of China ; Strategic Priority Research Program of Chinese Academy of Sciences
源URL[http://dspace.imech.ac.cn/handle/311007/96981]  
专题力学研究所_非线性力学国家重点实验室
通讯作者Yuan, Quanzi; Zhao, Ya-Pu
作者单位1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Mengru,Chen, Weiting,Huang, Xianfu,et al. Hyperelastic constitutive relations for porous materials with initial stress[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2024,193:22.
APA Zhang, Mengru.,Chen, Weiting.,Huang, Xianfu.,Yuan, Quanzi.,Zhao, Ya-Pu.,...&黄先富.(2024).Hyperelastic constitutive relations for porous materials with initial stress.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,193,22.
MLA Zhang, Mengru,et al."Hyperelastic constitutive relations for porous materials with initial stress".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 193(2024):22.

入库方式： OAI收割

来源：力学研究所

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