Non-linear stability analysis of laminated composite plates on one-sided foundation by hierarchical Rayleigh-Ritz and finite elements

作者：Vaseghi Omid; Mirdamadi Hamid Reza^*; Panahandeh Shahraki Danial

来源：International Journal of Non-Linear Mechanics, 2013, 57: 65-74.

DOI：10.1016/j.ijnonlinmec.2013.06.001

• Laminated composite plate
• Unilateral buckling
• One-sided foundation
• Hierarchical Rayleigh-Ritz method
• Hierarchical finite element method
• Non-linear analysis

In this paper, the influence of one-sided foundation on the unilateral buckling behavior of laminated composite orthotropic plates is investigated under compressive load. Derivation of governing equations is based on Kirchhoff%26apos;s hypotheses and the principle of minimum total potential energy. The solutions are performed by the hierarchical Rayleigh-Ritz (HRRM) and finite element methods (HFEM) and are compared. Most of previous research studies on the unilateral buckling of plates are limited to single-layer plates. The results show that unsymmetric lamination experiences lower critical loads than those of symmetric lamination due to the existence of extensional-bending coupling in unsymmetric laminated sequencing schemes. Influences of aspect ratio, fiber orientation, the number of plies, Young%26apos;s modulus ratio, and different boundary conditions on the unilateral buckling load are examined. The numerical results are validated with previous works studying unilateral buckling of single-layer plates resting on one-sided foundation.

• 出版日期2013-12