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Analytical expressions of effective constants for a piezoelectric composite reinforced with square cross-section fibres

Otero J., Bravo-Castillero J., Guinovart-Diaz R., Rodriguez-Ramos R., Maugin G. A.

Archives of Mechanics

2003

Vol. 55, nr 4

357-371

The purpose of this paper is to present analytical expresiion of the effective elastic, piezoelectric and dielectric constants of reinforced piezoelectric composite materials with unidirectional fibers periodically distributed in a square matrix, as obtained by means of the "double asymptotic homogenization" method. The cross-section of the fibers is square. Each periodic cell of the medium is a binary piezoelectric composite wherein both phases are homogeneous piezoelectric materials with transversely isotropic properties. Comparison between the derived theoretical predictions of characteristic parameters and the existing experimental results shows a rather good agreement. The results obtained in the present paper were verified by means of the universal relations of Schulgasser. Numerical computation of the effective properties can be realized without difficulties.

Oscillations of a hollow piezoceramic cylinder excited by a system of surface electrodes

Bardzokas D., Filshtinsky M. L., Rodriguez-Ramos R., Sanchez-Casals O.

Computer Assisted Mechanics and Engineering Sciences

2002

Vol. 9, No. 4

439-446

An antiplane mixed boundary problem of electroelasticity for a hollow piezoelectric cylinder with an arbitrary system of active surface electrodes exciting its oscillations is considered. The solution is carried out on the basis of the approach developed in [1] for investigation of the oscillations of a solid piezoceramic cylinder with a given system of active surface electrodes. Results of numerical realization of the obtained algorithm characterizing amplitude-frequency features of the cylinder and also the behaviour of electroelastic quantities in the cylinder area and on the boundary are given.