A GENERAL SOLUTION FOR STATIC PIEZOTHERMOELASTIC PROBLEMS OF CRYSTAL CLASS 6mm SOLIDS

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:coppi
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In this paper,a general solution for three-dimensional static piezothermoelastic prob-lems of crystal class 6mm solids is presented.Tne general solution involves four piezoelastic potentialfunctions and a piezothermoelastic potential function,of which four piezoelastic potential functions aregoverned by weighted harmonic differentia[ equations.Compared with the general solution given byAshida et al.,in which seven potential functions are introduced,the general solution proposed in thepresent paper is more rigorously derived.Moreover,it has a simple form and is convenient for appli-cation.As an illustrative example,the problem of a pyroelectric half-space subjected to axisymmetricheating is studied.Numerical results of displacements,stresses,electric potential and electric displace-ments are obtained for a cadmium selenide half-space.Thermally induced displacements and stress dis-tribution are compared with those obtained for the same material without piezoelectric and pyroelectriceffects. In this paper, a general solution for three-dimensional static piezothermoelastic prob-lems of crystal class 6mm solids is presented.Tne general solution involves four piezoelastic potential functions and a piezothermoelastic potential function, of which four piezoelastic potential functions are governed by weighted harmonic differentia [equations .Compared with the general solution given by Ashida et al., In which seven potential functions are introduced, the general solution proposed in thepresent paper is more rigorously derived. Moreover, it has a simple form and is convenient for appli- cation .As an illustrative example, the problem of a pyroelectric half-space subjected to axisymmetricheating is studied. Numerical results of displacements, stresses, electric potential and electric displace-ments are obtained for cadmium selenide half-space. thermially induced displacements and stress dis-tribution are compared with those obtained for the same material without piezoelectric and pyroelectriceffec ts.
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