Layer-wise closed-form theory for geometrically nonlinear rectangular composite plates subjected to local loads

摘要

This work is devoted to a study of concentrated load-induced nonlinear problems of rectangular composite laminates using novel laminated plate theory of layer-wise closed-form model (LCPT I) in which the variation of the displacement field through the thickness is represented as the closed-form functions. The variational principle is applied to derive the three state equations including large deformation effect. The corresponding analytical solution is obtained to determine stress fields with a special attention on the load applied areas. The numerical results of the nonlinear response of he rectangular composite laminates with unsymmetrical cross-ply/angle-ply lay-up subjected to a centralized load are demonstrated in conjunction with the evaluation of effect of fundamental parameters (namely, laminate stacking sequence, laminate geometry, and he material properties of he individual layers) to the local load resistance. The present data are compared with those obtained from the experimental works and could be applied to assess the accuracy of the finite element solutions for such stress concentration problems in composite materials/sandwich structures. The results show that the approach of LCPT I may provide remarkable remarkable references with a significant numerical effective, especially for nonlinear problems.