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Exact axisymmetric solution of laminated transversely isotropic piezoelectric circular plates (Ⅱ)——Exact solution for elastic circular plates and numerical results
引用本文:丁皓江,徐荣桥,国凤林.Exact axisymmetric solution of laminated transversely isotropic piezoelectric circular plates (Ⅱ)——Exact solution for elastic circular plates and numerical results[J].中国科学E辑(英文版),1999(5).
作者姓名:丁皓江  徐荣桥  国凤林
作者单位:Department of Civil Engineering,Zhejiang Univeristy,Department of Civil Engineering,Zhejiang Univeristy,Department of Civil Engineering,Zhejiang Univeristy Hangzhou 310027,China,Hangzhou 310027,China,Hangzhou 310027,China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No. 19572059) and Research Laboratory of Solid Mechanics of State Education Commission of China.
摘    要:Emphasis is placed on purely elastic circular plates. Let the piezoelectric coefficients be equal to zero. Then two sets of uncoupled mechanical and electric equations are obtained and they can be solved independently. Two three-dimensional exact solutions of laminated transversely isotropic circular plate are derived under two boundary conditions, i.e. rigid slipping support and elastic simple support. For isotropic circular plates, the problem of multiple root is treated. At last, some numerical results of piezoelectric and purely elastic circular plates are presented and the applicability of classical plate theory is discussed.

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