Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress
文献类型：期刊论文
| 作者 | Chen, Weiting1,2; Zhao, Ya-Pu1,2 ; Zhao YP(赵亚溥)
|
| 刊名 | INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
 |
| 出版日期 | 2024-02-01 |
| 卷号 | 195页码:22 |
| 关键词 | Constitutive relation Residual stress Compatibility-broken curvature compensation Einstein field equations Non-local effect |
| ISSN号 | 0020-7225 |
| DOI | 10.1016/j.ijengsci.2023.103991 |
| 通讯作者 | Zhao, Ya-Pu(yzhao@imech.ac.cn) |
| 英文摘要 | Residual stress widely exists in soft materials. Besides growth, inhomogeneous thermal expansion is also a primary cause of residual stress. However, establishing a proper hyperelastic constitutive relation is a great challenge since the existing theories cannot capture the change of underlying mechanical responses triggered by temperature variations. In this paper, a general hyperelastic constitutive relation for soft elastomers with thermally-induced residual stress is developed. We first reveal the initial temperature dependence of conventional thermoelastic models. This property attributes the alteration of the underlying thermoelastic response to free thermal expansions. Then, a compatibility-broken curvature compensation (CBCC) framework is established based on finite thermoelasticity. It generates a free thermal expansion to eliminate the Riemannian curvatures of the virtual stress-free configuration derived from the isothermal stress release. Such a mechanism indicates the non-local effect of the residual stress, which fundamentally modifies the traditional view that invariant formulations cover all the possible functional dependence of residual stress. Also, the obtained governing equations are similar to Einstein field equations of the general theory of relativity. This similarity may deeply imply a standard mechanism concerning the curvature compensation leading to residual stress genesis. We finally conduct comparative analyses of the spherically symmetric and axisymmetric problems between the current constitutive relation and the existing models. The influences of adopting distinct residual stresses, the performance of the non-local effect, and the availability of the new constitutive relation are investigated in detail. This framework can shed some light on the constitutive modeling of soft materials. |
| WOS关键词 | DEFORMATION ; ELASTICITY ; GROWTH ; MODEL ; COMPATIBILITY ; EQUATIONS ; INFLATION ; TENSOR |
| 资助项目 | National Key Research and Development Program of China[2022YFA1203200] ; National Natural Science Foundation of China[12241205] ; National Natural Science Foundation of China[12032019] |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:001130176700001 |
| 资助机构 | National Key Research and Development Program of China ; National Natural Science Foundation of China |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/93794]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | 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 | Chen, Weiting,Zhao, Ya-Pu,Zhao YP. Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2024,195:22. |
| APA | Chen, Weiting,Zhao, Ya-Pu,&赵亚溥.(2024).Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,195,22. |
| MLA | Chen, Weiting,et al."Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 195(2024):22. |
入库方式： OAI收割
来源：力学研究所
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