Unified Geometrically Nonlinear Formulation of All Higher-order Shear Deformation Theories for Cross-ply Plates

Defence Science Journal

S. Kapuria¹  P. C. Dumir¹  G. P. Dube¹ 

[1] Indian Institute of Technology Delhi, New Delhi

关键词: Plates;    geometrical nonlinearity;    cross-ply laminate;    Navier';    s solution;    higher-order shear deformation;    higher-order laminated plate theories;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Defence Scientific Information & Documentation Centre

【 摘 要 】

Several higher-order shear deformationtheories have been proposed for laminated plates, based on theexpansions of displacements across the thickness, which are the same forall layers. In this study, a unified formulation of all higher-ordertheories is presented for cross-ply laminated plates based on polynomialexpansions of displacements in the thickness coordinate z. It includesall the models available in literature. The governing equations forlinear static and free vibfation response, and for buckling underinplane load are derived. The expressions for the stiffness matrix,inertia matrix, geometric stiffness matrix, and the load vector aredeveloped for a simply supported rectangular plate using Navier'ssolution. A general purpose, single programme has been developed for allhigher-order laminated plate theories.

【 授权许可】

Unknown