Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress

doi:10.1016/j.ijengsci.2023.103991

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	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
刊名	INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
	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.
分类号	一类
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关键词	DEFORMATION ; ELASTICITY ; GROWTH ; MODEL ; COMPATIBILITY ; EQUATIONS ; INFLATION ; TENSOR
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
其他责任者	Zhao, Ya-Pu
内容类型	期刊论文
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
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 WT,Zhao YP. Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2024,195:22.
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.