| Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress | |
Chen WT(陈纬庭)1,2; Zhao YP(赵亚溥)1,2
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| Corresponding Author | Zhao, Ya-Pu([email protected]) |
| Source Publication | INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
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| 2024-02-01 | |
| Volume | 195Pages:22 |
| ISSN | 0020-7225 |
| Abstract | 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. |
| Keyword | Constitutive relation Residual stress Compatibility-broken curvature compensation Einstein field equations Non-local effect |
| DOI | 10.1016/j.ijengsci.2023.103991 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001130176700001 |
| WOS Keyword | DEFORMATION ; ELASTICITY ; GROWTH ; MODEL ; COMPATIBILITY ; EQUATIONS ; INFLATION ; TENSOR |
| WOS Research Area | Engineering |
| WOS Subject | Engineering, Multidisciplinary |
| Funding Project | National Key Research and Development Program of China[2022YFA1203200] ; National Natural Science Foundation of China[12241205] ; National Natural Science Foundation of China[12032019] |
| Funding Organization | National Key Research and Development Program of China ; National Natural Science Foundation of China |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Zhao, Ya-Pu |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/93795 |
| 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 | Chen WT,Zhao YP. Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2024,195:22.Rp_Au:Zhao, Ya-Pu |
| APA | 陈纬庭,&赵亚溥.(2024).Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,195,22. |
| MLA | 陈纬庭,et al."Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 195(2024):22. |
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