TITLE:
Isomorphism Continuum Stored Energy Functional for Finite Thermoelastic Deformation
AUTHORS:
Fuzhang Zhao
KEYWORDS:
Entropy, Finite Thermoelasticity, Isomorphism Constitutive Model, Strain-Induced Crystallization, Thermodynamics
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.2,
February
28,
2023
ABSTRACT: Continuum mechanics for isotropic finite thermoelastic deformations have been reviewed. Thermal effects on mechanical responses of rubbers have been captured by the isomorphism continuum stored energy (CSE) functional with the multiplicative decomposition of deformation gradient while preserving the structure of symmetry for finite structural deformation. The CSE finite thermoelastic model fits and predicts experimental data of SR and NR-C60 rubbers at different external temperatures. For internal temperature effects of both NR and NR-SIC rubbers, the CSE finite thermoelastic model of stored energy and entropy, along with the newly developed CTE and CI models, fits both nominal stress-stretch and temperature change-stretch experimental data in uniaxial extension tests.