A robust methodology for the simulation of postbuckling response of composite plates

Abstract

The application of a robust numerical method, namely the differential quadrature method (DQM) for the analysis of buckling and postbuckling of laminated composite plates is introduced. The method is combined with an arc-length strategy to solve the resulting system of nonlinear equations. The treatment accounts for the effect of large deformation by including the von Karman strains. Imperfections in the form of global de¯ection, conforming to the preferred buckling modes are introduced throughout the plate. Case studies are used to evaluate the geometrically nonlinear response of composite plates under the set conditions, and the results are compared with those obtained by ®nite element solution and the results obtained from a published literature.

Hygrothermal effects on the buckling of soft‐core sandwich plates with composite layered face sheets

“…For the case where the structure has two opposite simply supported and two opposite clamped boundary conditions, a semi analytical method is utilized using one-dimensional GDQ technique, as an efficient and powerful tool for solving partial differential equations. [38][39][40][41] Finally, for fully clamped sandwich plates, two-dimensional GDQ approach is implemented for the buckling analysis. Then, the influences of moisture content and temperature of environments on the critical buckling load of sandwich plates is comprehensively studied for different geometrical parameters and boundary conditions.…”

Robust static analysis using general-purpose multibody dynamics

“…de Souza Neto and Feng 22 discussed the determination of the path direction for arc length methods in the presence of bifurcations and snap-backs. Taheri and Moradi 23 developed a robust methodology for the simulation of the postbuckling response of composite plates. Choong and Kim 24 proposed a numerical strategy based on a generalized inverse and the continuation method to compute the stability boundaries for multi-loading systems.…”