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New results for semi-strongly elliptic materials in linear elastodynamics
No full textThis paper is concerned with the linear theory of elastodynamics for the class of homogeneous and isotropic media with the hypothesis of semi-strongly elliptic of elasticity tensor. For this class of materials we establish a domain of influence theorem and some results about the spatial behavior of solutions for the initial-boundary value problem by using an appropriate family of surface integral measures
Some results in linear theory of thermoelasticity backward in time for microstretch materials
No full textIn this paper the uniqueness of solutions for the backward in time problem of the linear theory of thermo-microstretch elastic materials is shown and the impossibility of the localization in time of the solution of the corresponding forward in time problem is proved. Moreover, the temporal behavior backward in time of thermoelastodynamics processes is studied by establishing the relations describing the asymptotic behavior of the Cesàro means of the different parts of the total energy
DOMAIN OF INFLUENCE THEOREM IN THE THEORY OF OF BENDING OF MICROPOLAR ELASTIC PLATES WITH STRETCH
No full textARCH. MECH
Some results in the dynamics of porous elastic mixtures
No full textThe present work describes a method for studying the spatial and temporal behaviour of the dynamic processes in porous elastic mixtures taking into account memory effects for the intrinsic equilibrated body forces. The method is based on a set of properties for an appropriate time-weighted surface power function associated with the process at issue. We get the domain of influence and the spatial decay estimates with
time-independent decay rate inside the domain of influence. We establish the spatial decay estimates with time-independent decay rate for the interior of the domain of influence. Using the Cesaro means associated a
with the kinetic and strain energies, we establish the asymptotic partition of the total energy
Spatial estimates for transient and steady-state solutions in transversely isotropic plates of Mindlin-type
No full textThis paper concerns with a state of bending for a linear transversely isotropic plate model based on the Mindlin assumption on the displacement. By using appropriate families of line-integral measures, we are able to establish results about the spatial behaviour of transient and steady-state solutions. All the results are obtained under relaxed hypotheses on the positive definiteness of the elasticity tensor
On the Spatial Behaviour for Transversely Isotropic Plates
No full textTaking into account the Mindlin model about the theory concerning a state of bending for a linear transversely isotropic plate, some results about the spatial behaviour of transient solutions are established through appropriate families of line-integral measures. It has to be underlined that results are obtained under relaxed hypotheses on the positive definiteness of elasticity tensor
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