弹性圆板在轴对称边缘条件下的解及其应用

Solutions of circular elastic plates under axisymmetric edge conditions and their applications

在不采用任何近似的板理论的条件下，给出一种解横观各向同性圆板在表面应力自由、边缘承受轴对称分布应力和（或）位移时的线弹性边值问题的半解析数值方法，并且说明某些典范问题的解在圆板的位移、应力混合型边界条件的圣维南原理的表述中的应用．

ithout using any approximate plate theories, this paper gives a semi-analytic numerical method for solving linear elastostatic boundary value problems of transversely isotropic circular plates with surfaces stress-free and edges loaded by axi-symmetrically distributed stresses and (or) displacements. Also included in the paper is the application of solutions of some canonical problems in the statements of St. Venant's.principle for circular plates under mixed boundary conditions of displacements and stresses.