A new exact semi-analytical solution for buckling analysis of laminated plates under biaxial compression

作者：Kazemi Masoud^*

来源：Archive of Applied Mechanics, 2015, 85(11): 1667-1677.

DOI：10.1007/s00419-015-1011-x

• Buckling
• Ritz method
• Angle-ply
• Laminated plate
• Polar method

In the present work, an innovative approach is developed and employed to investigate the buckling load of composite laminated plates using polar representation of the fourth-order flexural stiffness tensor. Based on the Rayleigh-Ritz method for calculating the buckling load of orthotropic uncoupled laminates, a new approach is proposed for calculating the critical buckling load as a function of fiber orientation and the number of layers. A new formula is also represented for measuring the possible numbers of buckling modes based on the length-to-width ratio of the plate. Moreover, the new methods make it easy to handle buckling problems, optimization and design of laminated plates subjected to in-plane loads. The efficiency and precision of this method are proved by numerical examples. The anisotropic parts of the buckling load are calculated, and their polar variations are investigated.

• 出版日期2015-11