There is proposed a method of studying wave processes in locally nonhomogeneous solids with account for geometrically non-uniform surface. The method is based on the equation system of the locally nonhomogeneous elastic solid model obtained within the local gradient approach and the use of averaging operation to separate oscillatory and slowly variable over period of oscillation components of displacement and density fields.
We consider the key systems describing steady state of a locally inhomogeneous electroconductive non-ferromagnetic solid within framework of the local gradient approach in thermomechanics. An arbitrarily chosen subdomain of the solid is regarded as a thermodynamically open system that can exchange by mass with environment. It is assumed that this exchange occurs suddenly at the initial time when the body structure is instantly set. The mass sources are introduced into the model to conform the actual and reference body states.
This paper is a further development of the local gradient approach in thermomechanics. The presented model allows us to study the stress-strain state of nanoelements under one-continuum approach. Thermoelastic body is considered as an open thermodynamical system where the mass fluxes and sources are connected with sudden occurrence of the structure of material and real surface of the body at the moment of body formation. The complete system of equations includes mass balance equation generalized for locally heterogeneous systems.