直交異方性体の二次元圧電熱弾性問題の解法

概要

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The solution method for a two-dimensional piezothermoelastic problem of orthotropic solids exhibiting crystal class mm2 is proposed in the present paper. The method consists of two piezothermoelastic potential functions, three piezoelastic potential functions and a piezoelectric potential function. Three coupled second-order differential equations for those functions are derived from the equilibrium equation of stresses and the equation of electrostatics. The three differential equations can be reduced to an uncoupled sixth-order homogeneous differential equation from which one of the piezothermoelastic potential functions is obtained. Without loss of generality, the nonhomogeneous part of it can be divided into three uncoupled second-order differential equations by which the three piezoelastic potential functions are governed. The other piezothermoelastic and piezoelectric potential functions are derived from the previously obtained piezothermoelastic and piezoelastic potential functions.
1993-04-25