Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient

Abstract

The constitutive formulation of the finite-strain thermoelasticity is revisited within the thermodynamic framework and the multiplicative decomposition of the deformation gradient into its elastic and thermal parts. An appealing structure of the Helmholtz free energy is proposed. The corresponding stress response and the entropy expressions are derived. The results are specified in the case of quadratic dependence of the elastic strain energy on the finite elastic strain. The specific and latent heats are discussed, and the comparison with the results of the classical thermoelasticity are given. .Konstitutivna formulacija termoelasticnosti konacnih deformacija je revidirana unutar thermodynamickog pogleda i multiplikativne dekompozicije deformacionog gradijenta u njegov elasticni and termicki deo. Jedna sugestivna struktura Helmholtzove slobodne energije je zatim predlozena. Odgovarajuci izrazi za naponski dgovor i entropiju su izvedeni. Rezultati se ogranicavaju na slucaj kvadratne zavisnosti slobodne energije od konacne elasticne deformacije. Diskutuju se specificna i latentna toplota i daju uporedjenja sa klasicnom termoelasticnoscu. .