Uniqueness and spatial stability are investigated for smooth solutions to boundary value problems in non-classical linearised and linear thermoelasticity subject to certain conditions on material coefficients. Uniqueness is derived for standard boundary conditions on bounded regions using a generalisation of Kirchhoff’s method. Spatial stability is discussed for the semi-infinite prismatic cyli...

We present a new adaptive hp-FEM for linear thermoelasticity where each displacement component and the temperature are approximated on different meshes which are equipped with individual energy-based adaptivity mechanisms. We demonstrate that the multimesh hp-FEM can capture individual behavior of every solution component more efficiently than standard hp-FEM. AMS subject classification: 35B50,...

In this work, we apply the fractional order theory of thermoelasticity to a 1D problem of an infinitely long cylindrical cavity. Laplace transform techniques are used to solve the problem. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.

In this paper, by using Nagy-Foias-Foguel’s theory of decomposition of continuous semigroups of contractions, we prove that the system of linear elasticity is strongly stabilizable by a Dirichlet boundary feedback. We also give a concise proof of a theorem of Dafermos about the stability of thermoelasticity.

By introducing some auxiliary functions, an elasticity system with thermal effects becomes a coupled hyperbolic-parabolic system. Using this reduced system, we obtain a Carleman estimate with two large parameters for the linear thermoelasticity system with residual stress which is the basic tool for showing stability estimates in the lateral Cauchy problem.

An interesting and useful analogy can be drawn between the equations of static poroelasticity and the equations of thermoelasticity including entropy. The correspondence is of practical use in determining the effective parameters in an inhomogeneous poroelastic medium using known results from the literature on the effective thermal expansion coefficient and the effective heat capacity of a diso...

A two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. Unified system of equations for classical coupled thermoelasticity, Lord-Shulman and Green-Lindsay theory is considered. An exact solut...