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从压电介质平面问题的基本方程出发,应用求解弹性力学偏微分方程组一般解的统一理论,引进位移函数Ψ,导出了压电材料平面问题的一般解及相应的完备解系,同时给出了压电材料平面问题的Trefftz型边界积分方程,并简要地讨论了该一般解在Trefftz法中的应用。
Starting from the basic equations of plane problem of piezoelectrics, by applying the unified theory of general solution to partial differential equations of elasticity and introducing the displacement function ψ, the general solution and the corresponding complete solution for the plane problem of piezoelectric material are derived. The boundary integral equation of the Trefftz type for the piezoelectric material plane problem is briefly discussed. The application of this general solution to the Trefftz method is briefly discussed.