【摘要】 本文采用 Reissner 新的混合变分原理为基础的迭层板剪切变形理论,将平面位移设作分段线性连续函数.将该理论具体应用于矩形板的弯曲问题中,并将结果与 Reddy 的三阶理论解及 Pagano 的三维弹性解进行了比较.最后,讨论了这种方法的特点.更多还原

【Abstract】 So far most of the theories for analyzing composite laminated plate,classified as displacement-basedtheories,suffer from a common deficiency:constitutive equations lead to discontinuous interlaminarstresses.In order to overcome this shortcoming and analyze accurately the in-plane responses of compo-site laminated plate,a new laminated plate theory is developed for arbitrary laminate configurations basedupon Reissner’s new mixed variational principle[3].In the authors’ theory,transverse stresses are taken tobe quadratic functions of a local thickness coordinate and piecewise continuous in-plane displacementdistributions across each layer are assumed.The advantage of using Reissner’s mixed variational principleis that it automatically yields the appropriate shear correction factors for the transverse shear constitutiveequations.The author’s theory is examined by applying it to the bending problem of rectangular plate.Some numerical results for stresses and deflections are compared with the exact solutions obtained byPagano[1] and third-order theory solutions presented by Reddy[2].The comparison indicates that thepresent theory accurately estimates in-plane responses.更多还原