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

doi:10.1016/j.ijengsci.2023.103991

IMECH-IR > 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
通讯作者	Zhao, Ya-Pu(yzhao@imech.ac.cn)
发表期刊	INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
	2024-02-01
卷号	195 页码:22
ISSN	0020-7225
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.
关键词	Constitutive relation Residual stress Compatibility-broken curvature compensation Einstein field equations Non-local effect
DOI	10.1016/j.ijengsci.2023.103991
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001130176700001
关键词[WOS]	DEFORMATION ; ELASTICITY ; GROWTH ; MODEL ; COMPATIBILITY ; EQUATIONS ; INFLATION ; TENSOR
WOS研究方向	Engineering
WOS类目	Engineering, Multidisciplinary
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]
项目资助者	National Key Research and Development Program of China ; National Natural Science Foundation of China
论文分区	一类
力学所作者排名	1
RpAuthor	Zhao, Ya-Pu
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/93795
专题	非线性力学国家重点实验室
作者单位	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
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.