Isomorphism Continuum Stored Energy Functional for Finite Thermoelastic Deformation  

作　　者：Fuzhang Zhao Fuzhang Zhao(APD Optima Study, Lake Forest, CA, USA)

机构地区：[1]APD Optima Study, Lake Forest, CA, USA

出　　处：《Advances in Pure Mathematics》2023年第2期133-151,共19页理论数学进展（英文）

摘　　要：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.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.

关 键 词：ENTROPY Finite Thermoelasticity Isomorphism Constitutive Model Strain-Induced Crystallization THERMODYNAMICS 

分 类 号：O15[理学—数学]