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Motivated by Rivlin's ideas on the thermomechanics of continuous media, we state the second law of thermodynamics in two parts and apply it to study the behavior of a mixture of an elastic solid and a viscous fluid.
The dynamical aspects of solid-solid phase transformations are studied within the framework of the theory of thermoelasticity. A problem of the Riemann type for a one-dimensional bar undergoing an adiabatic process is analyzed. It is shown that by imposing a kinetic relation and a nucleation...
Some experiments suggest the presence of a sharp interface between comminuted and uncomminuted regimes in a ceramic subject to impact by a penetrator. This in turn suggests that one might model the associated dynamical process with the help of recently developed continuum models of the...
A relation between strain and stress, which is satisfied by transversely hemitropic hyperelastic materials for all finite deformations, is shown to characterize completely this symmetry class.
The direct boundary integral equation method is used to solve the interior and exterior boundary value problems with elastic conditions on the contour for plates with transverse shear deformation.
We analyze the membrane model established by Miara for nonlinearly elastic shells. In particular, we show that the associated energy functional is coercive but not sequentially weakly lower semicontinuous. To prove this last property, it is shown that the energy density is not rank-1 convex and...
Starting from known physical balance laws and constitutive equations, this work develops in a rational number the canonical balance laws of momentum and energy at both regular and singular material points. This is achieved in the framework of the quasi-electrostatics of thermoelectroelastic...
In this article, a coupled problem of dynamic electroelasticity is investigated using the variational approach and the concept of generalized solutions. The author derives a numerical procedure directly from the definition of the generalized solution of the problem and proves the convergence of...
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