Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states

doi:10.1016/j.ijengsci.2022.103730

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

	Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states
	Chen WT(陈伟霆)1,2; Zhao YP(赵亚溥)1,2
刊名	INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
	2022-08-01
卷号	178 页码:30
关键词	Initial stress Thermal effect Internal constraint Constitutive equation Soft elastomer
ISSN号	0020-7225
DOI	10.1016/j.ijengsci.2022.103730
通讯作者	Zhao, Ya-Pu(yzhao@imech.ac.cn)
英文摘要	It is a long-standing challenge to predict the thermo-mechanically coupled behaviors of initially stressed soft elastomers since most of the existing theories ignore the influences of thermoelastic deformation histories. The constitutive equations may be completely different even for the same initial stresses, if the latter is originated from isothermal and adiabatic deformations, respectively. In this paper, we establish a general framework for deriving constitutive equations for soft elastomers with arbitrary initial states. Instead of using the virtual stress-free configuration, we define the natural state by imposing the stress-free condition and the natural temperature condition. The derivations are based on a new proposed intrinsic embedding method of initial states, in which an additive decomposition of material strains is employed and the material coordinates can be properly defined. Once the natural-state-based free energy density and internal constraint are specified, the required constitutive equations can be accordingly obtained. We then derive the explicit formulations of the Cauchy stress and the entropy by linearization. On this basis, the embedding of initial states in Saint Venant- Kirchhoff, Blatz-Ko, Mooney-Rivlin, Neo-Hookean, Gent, and exponential form elastomers are detailed discussed. The influences brought by the initial stresses, the initial temperature, and the internal constraint on the elastic coefficients are analyzed separately. The new proposed constitutive equations show quantitative agreement with the classical theories under isothermal circumstances and fill a theoretical blank in this field under non-isothermal circumstances. Our approaches significantly improve the current constitutive theory of soft materials and may shed some light on the theoretical modeling of multi-field coupling problems.
分类号	一类
资助项目	National Natural Science Foundation of China (NSFC)[12032019] ; NSFC[51861145314] ; NSFC[11988102] ; NSFC[11872363] ; Chinese Academy of Sciences (CAS) Key Research Program of Frontier Sciences[QYZDJ-SSW-JSC019] ; CAS Strategic Priority Research Program[XDB22040401]
WOS关键词	RESIDUAL-STRESS ; STRAIN-ENERGY ; CONSTRAINED MATERIALS ; HYPERELASTIC MODELS ; FINITE DEFORMATIONS ; LINEAR ELASTICITY ; PART 1 ; RUBBER ; GROWTH ; THERMOELASTICITY
WOS研究方向	Engineering
语种	英语
WOS记录号	WOS:000835110300002
资助机构	National Natural Science Foundation of China (NSFC) ; NSFC ; Chinese Academy of Sciences (CAS) Key Research Program of Frontier Sciences ; CAS Strategic Priority Research Program
其他责任者	Zhao, Ya-Pu
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/89855]
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.Inst Mech, Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China;
推荐引用方式 GB/T 7714	Chen WT,Zhao YP. Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2022,178:30.
APA	陈伟霆,&赵亚溥.(2022).Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,178,30.
MLA	陈伟霆,et al."Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 178(2022):30.