An algorithm for identiication of unknown parameters of a Landau-Devonshire model describing phase transitions in shape memory alloys 1] is proposed. Distributions of the displacement and of the temperature observed with an error are input data of the algorithm. Finite element approximations of the input data and of the model are used. The algorithm utilizes the idea of the direct minimization ...

The four thermodynamic potentials, the internal energy u 1⁄4 uð ij; sÞ, the Helmholtz free energy f 1⁄4 f ð ij; T Þ, the Gibbs energy g 1⁄4 gðrij; T Þ and the enthalpy h 1⁄4 hðrij; sÞ are derived, independently of each other, by using the Duhamel–Neumann extension of Hooke’s law and an assumed linear dependence of the specific heat on temperature. A systematic procedure is then presented to exp...

Thermodynamic (Anderson 2005) and elastic properties (Musgrave 1970) of minerals provide the fundamental information needed to analyze seismic observations and to model Earth’s dynamic state. The connection between pressure, temperature, chemical composition, and mineralogy that produce seismic velocity gradients, heterogeneities, and discontinuities, can be established with knowledge of thermo...

Abstract In this work, we investigate a one-dimensional porous-elastic system with thermoelasticity of type III. We establish the well-posedness and stability for cases equal nonequal speeds wave propagation. At end, use some numerical approximations based on finite difference techniques to validate theoretical results.