中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 力学研究所
  3. 中国科学院力学研究所
  4. 非线性力学国家重点实验室
Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states

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2022-08-01
卷号178页码:30
ISSN号0020-7225
关键词Initial stress Thermal effect Internal constraint Constitutive equation Soft elastomer
DOI10.1016/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.
WOS关键词RESIDUAL-STRESS ; STRAIN-ENERGY ; CONSTRAINED MATERIALS ; HYPERELASTIC MODELS ; FINITE DEFORMATIONS ; LINEAR ELASTICITY ; PART 1 ; RUBBER ; GROWTH ; THERMOELASTICITY
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
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
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.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, Weiting,Zhao, Ya-Pu,Zhao YP. Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2022,178:30.
APA Chen, Weiting,Zhao, Ya-Pu,&赵亚溥.(2022).Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,178,30.
MLA Chen, Weiting,et al."Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 178(2022):30.

入库方式： OAI收割

来源：力学研究所

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。