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On the exponential decay for viscoelastic mixtures

Passarella F., Zampoli V.

Archives of Mechanics

2007

Vol. 59, nr 2

97-117

This paper concerns the study of mixtures composed of a thermoelastic solid and a viscous fluid. For these mixtures, the dissipation effects are connected with the viscosity rate of one constituent and with the relative velocity vector. Using the time-weighted surface power method, associated with the linear process, we obtain some spatial decay estimates, characterized by time-independent and time-dependent decay rates, respectively. The first type of estimate is appropriate for large values of time, while the other is useful for short values of the same variable.

Some results on the spatial behaviour in linear porous elasticity

Ciarletta M., Chirita S., Passarella F.

Archives of Mechanics

2005

Vol. 57, nr 1

43-65

In this paper we study the spatial behaviour for an extended class of isotropic and homogeneous porous materials for which the constitutive coefficients are supposed to satisfy some relaxed positive denniteness conditions. By using some appropriate measures, we are able to establish results describing the spatial behaviour of transient and steady-state solutions in these enlarged classes of porous materials.

Domain of influence theorem in the theory of bending of micropolar elastic plates with stretch

Ciarletta M., Passarella F.

Archives of Mechanics

1999

Vol. 51, nr 1

47-58

In the context of linear theory of bending of micropolar plates with stretch, a domain of dependence inequality associated with the initial-boundary value problem is derived and a domain of influence theorem is established. It is shown that for a finite time, a solution corresponding to the data of a bounded support vanishes outside a bounded domain.