Journal ArticleDOI
Decomposition of deformation and representation of the free energy function for isotropic thermoelastic solids
S.C.H. Lu,Karl S. Pister +1 more
TLDR
In this paper, the constitutive equation for stress in a hyperelastic body undergoing nonisothermal deformation is derived from a free energy function, which is then decomposition into an isothermal, "effective" strain energy function and a function depending only on temperature.About:
This article is published in International Journal of Solids and Structures.The article was published on 1975-07-01. It has received 115 citations till now. The article focuses on the topics: Strain energy density function & Hyperelastic material.read more
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Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids
TL;DR: In this paper, a generalization of recently developed continuum phase field models for brittle fracture towards fully coupled thermo-mechanical and multi-physics problems at large strains is presented.
Journal ArticleDOI
A thermoviscoelastic model for amorphous shape memory polymers: Incorporating structural and stress relaxation
TL;DR: A thermoviscoelastic constitutive model is developed for amorphous shape memory polymers (SMP) based on the hypothesis that structural and stress relaxation are the primary molecular mechanisms of the shape memory effect and its time-dependence as mentioned in this paper.
Journal ArticleDOI
On the large deformation behaviour of reinforced rubber at different temperatures
TL;DR: In this article, the authors investigated the temperature dependence of the mechanical properties of a filler-loaded tread compound experimentally and proposed a physically based method to represent this behaviour in the framework of non-linear continuum thermomechanics.
Journal ArticleDOI
Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics
TL;DR: A survey of the application of the multiplicative decomposition of the deformation gradient in constitutive theories of finite deformation thermoelasticity, elastoplasticity and biomechanics can be found in this paper.
Journal ArticleDOI
Thermomechanical behavior of thermoset shape memory polymer programmed by cold-compression: Testing and constitutive modeling
Guoqiang Li,Wei Xu +1 more
TL;DR: In this paper, a mechanism-based thermoviscoelastic-thermoviscoplastic constitutive model incorporating structural and stress relaxation was developed to predict the nonlinear shape memory behavior of the SMP trained below T g.
References
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Journal ArticleDOI
Finite‐Strain Elastic—Plastic Theory with Application to Plane‐Wave Analysis
E. H. Lee,D. T. Liu +1 more
TL;DR: In this paper, a theory of elastic deformation was developed to include thermomechanical coupling effects, and the analysis of the kinematics of these three states was carried out for general deformation history.
Journal ArticleDOI
Finite element analysis of nonlinear problems in the dynamical theory of coupled thermoelasticity
TL;DR: In this paper, the authors formulate finite element models for the analysis of nonlinear problems in the dynamical theory of coupled thermoelasticity, where displacement and temperature fields are approximated over a finite element, and energy balances are formed which lead to general equations of heat conduction and motion of finite elements.