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On the propagation of plane waves in piezoelectromagnetic monoclinic crystals

Montanaro A.

Archives of Mechanics

2015

Vol. 67, nr 3

197--212

In a piezoelectromagnetic crystalline medium belonging to the class 2 of the monoclinic crystallographic system we find some classes of piezoelectricity-induced electromagnetic waves. These are time harmonic plane waves propagating along the symmetry axis and depending only on the axial coordinate. There are two independent modes of propagation, one longitudinal and one transverse, with mechanical and electromagnetical couplings. The transverse mode admits as a particular case an electromagnetic wave with no associated elastic deformation.

On the constitutive relations for second sound in thermo-electroelasticity

Montanaro A.

Archives of Mechanics

2011

Vol. 63, nr 3

225-225

In papers [1] and [2] of 1982, Coleman, Fabrizio and Owen gave a derivation of implications of the second law of thermodynamics to describe second sound in rigid heat conductors, by using a natural extension to anisotropic media of the well-known Cattaneo’s relation. Later, in 1992, Öncü and Moodie [3] gave a derivation of the constitutive relations of an elastic heat conductor for which the heat flux and the temperature obey a frame-invariant form of a generalized Cattaneo’s equation. Recently, in 2004, Rybalko [4] has shown that a second-sound wave is accompanied by the appearance of electric induction. Here, we extend the theory [3]: following the standard Coleman–Noll procedure [5], we derive the thermodynamic restrictions on the constitutive relations for an electrically polarizable and finitely deformable, heat conducting elastic continuum which interacts with the electric field. The constitutive equations include an evolution equation for the heat flux; the latter and the temperature obey a frame-invariant form of Cattaneo’s equation.

Some theorems of incremental thermoelectroelasticity

Montanaro A.

Archives of Mechanics

2010

Vol. 62, nr 1

49-72

We extend to incremental thermoelectroelasticity with biasing fields certain classical theorems, which have been stated and proved in linear thermopiezoelectricity referred to a natural configuration. A uniqueness theorem for the solutions to the initial boundary value problem, the generalized Hamilton principle and the theorem of reciprocity of work are deduced for incremental fields, superposed on finite biasing fields in a thermoelectroelastic body.