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This article deals with the considerations of the propagation of the coupled surface waves along the surface that bounds the semiconducting half-space with relaxation of heat and charge carrier fields. Based on the general equations, two particular cases are investigated: the elastodiffusive surface waves of the electron field and the thermodiffusive surface waves of the electron fields.

A sandwich-structured composite is a special class of composite materials that is fabricated by attaching two thin but stiff layers to a lightweight but thick core. Composites analyzed in this paper consist of two different materials: auxetic and structural steel. The optimization criterion is minimum compliance for the load case where the frame's top boundary is downward loaded. Outer layers are made of steel while the middle layer is twophase solid material composite. Only the middle layer is optimized by means of minimization of the objective function defined as the internal strain energy. In the first part of this paper we study the application of the solid isotropic material with penalization (SIMP) model to find the optimal distribution of a given amount of materials in sandwich-structured composite. In the second part we propose a multilayered composite structure in which internal layers surfaces are wavy. In both cases the total energy strain is analyzed.

Propagation of longitudinal solitary waves in rods made of an isotropic material was studied by computer simulations. The analysis of the problem was based on the equation derived by Porubov from Murnaghan's free energy model. Amplitudes, velocities and shapes of pulses of propagating solitary waves were determined both for auxetic materials, i.e. exhibiting negative Poisson's ratio, and for common ones -of positive or zero Poisson's ratio.

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