F. Ashida et al., A GENERAL-SOLUTION TECHNIQUE FOR PIEZOTHERMOELASTICITY OF HEXAGONAL SOLIDS OF CLASS 6MM IN CARTESIAN COORDINATES, Zeitschrift fur angewandte Mathematik und Mechanik, 74(2), 1994, pp. 87-95
Piezoelastic materials have attracted considerable recent attention be
cause of their potential use in ''intelligent'' structural systems. In
this paper, we propose a general solution technique for three-dimensi
onal problems of piezothermoelasticity for hexagonal solids of class 6
mm in cartesian coordinates. Potential functions are introduced to rep
resent the coupled elastic and electric fields. Simple uncoupled gover
ning equations for the potential functions are derived from the stress
equations of equilibrium and the equation of electrostatics. As an ap
plication of the technique, a piezothermoelastic problem of a thin pla
te is analyzed. Numerical calculations for the stresses and the electr
ic potential are carried out for a cadmium selenide body exhibiting cl
ass 6mm symmetry. Stress distributions are compared with those obtaine
d.for the similar thermoelastic problem without the piezo-effect.