The paper is concerned with the dynamical theory of linear piezoelectricity. First, an existence theorem is derived. Then, the continuous dependence of the solutions upon the initial data and body forces is investigated.
In this work a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions, is presented. The first goal of the present study is the development of an efficient analytical and direct numerical collocation method. The second one is the application of the method to the porous elastic materials when a periodic array of co-planar cracks is present. Starting from Cowin- Nunziato model...
We consider a thermoelectromagnetic system characterized by Maxwell-Cattaneo like constitutive equations for the heat flux and the electric current density. We prove the existence of the internal energy and specific free entalpy potentials and further of the entropy upperpotential without using the Clausius-Duhem inequality.
In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.
We study a minimum principle for viscoelastic materials subjected to dynamic processes with dissipative boundary conditions.
In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.
We consider a thermoelectromagnetic system characterized by Maxwell-Cattaneo like constitutive equations for the heat flux and the electric current density. We prove the existence of the internal energy and specific free entalpy potentials and further of the entropy upperpotential without using the Clausius-Duhem inequality.
Page 1