We prove continuous dependence on the intensity coefficient and continuous dependence on the external data in the theory of magneto-elasticity. We do not require the Lamé coefficients to be positive. We use logarithmic convexity arguments similar to those of Ames and Straughan (1992) in classical thermoelasticity. 1. Introduction. In recent years, much attention has been directed to the knowled...

Some fundamental issues in the formulation of constitutive theories of material response based on the multiplicative decomposition of the deformation gradient are reviewed, with focus on finite deformation thermoelasticity, elastoplasticity, and biomechanics. The constitutive theory of isotropic thermoelasticity is first considered. The stress response and the entropy expression are derived in ...

We formulate and study two mathematical models of a thermoforming process involving membrane mould as implicit obstacle problems. In particular, the membrane-mould coupling is determined by thermal displacement that depends in turn on through contact region. The considered are stationary (or elliptic) model an evolutionary quasistatic) one. For first model, we prove existence weak solutions sol...

A two-dimensional multi-phase lag model in the context of generalized thermoelasticity is established for an isotropic half-space medium. vector-matrix differential equation obtained from governing equations using normal mode analysis. The eigenvalue approach applied to obtain solutions. temperature-dependent displacements, stresses, strains are calculated numerically and represented graphicall...