| Hyperelastic constitutive relations for porous materials with initial stress | |
Zhang MR(张梦茹)1,2; Chen WT(陈纬庭)1,2; Huang XF(黄先富)1,2 ; Yuan QZ(袁泉子)1,2; Zhao YP(赵亚溥)1,2
| |
| Corresponding Author | Yuan, Quanzi([email protected]) ; Zhao, Ya-Pu([email protected]) |
| Source Publication | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
 |
| 2024-12-01 | |
| Volume | 193Pages:22 |
| ISSN | 0022-5096 |
| Abstract | 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. |
| Keyword | Hyperelasticity Initial stress Porosity Constitutive modeling Shale |
| DOI | 10.1016/j.jmps.2024.105886 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001333515700001 |
| WOS Keyword | RESIDUAL-STRESS ; NONLINEAR COMPOSITES ; ELASTOMERIC SOLIDS ; MACROSCOPIC INSTABILITIES ; CONSTRAINED MATERIALS ; LINEAR ELASTICITY ; POROELASTIC MODEL ; GENERAL-THEORY ; GAS ; DEFORMATION |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China ; National Key Research and Development Program of China ; Strategic Priority Research Program of Chinese Academy of Sciences |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Yuan, Quanzi ; Zhao, Ya-Pu |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/96982 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang MR,Chen WT,Huang XF,et al. Hyperelastic constitutive relations for porous materials with initial stress[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2024,193:22.Rp_Au:Yuan, Quanzi, Zhao, Ya-Pu |
| APA | 张梦茹,陈纬庭,黄先富,袁泉子,&赵亚溥.(2024).Hyperelastic constitutive relations for porous materials with initial stress.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,193,22. |
| MLA | 张梦茹,et al."Hyperelastic constitutive relations for porous materials with initial stress".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 193(2024):22. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment