摘要

The higher-order displacement model has been proposed to analyze the stress concentration problems in angle-ply laminates under different loads. The proposed model a priori satisfies the transverse shear stress continuity conditions as well as free surface conditions. The total number of degrees of freedom in this model does not depend on the layer number of laminates. Thus, computations of the proposed model are simple and efficient. It is important that the proposed model is extended to solve the stress concentration problems in laminates with arbitrary stacking sequences. Based on the proposed model, a three-node triangular element has been presented. To circumvent the requirement of C(1) continuity at element interfaces, the refined element method has been employed. Numerical results show that the proposed model is suitable for the free-edge problems in the cross-ply laminates as well as the angle-ply laminates. After ascertaining the accuracy of present model, the model is extended to analyze the free-corner problems in laminates subjected to thermal loads. Numerical results imply that the analytical approach proposed by Becker et al. seem to underestimate the peak stresses in the vicinity of free corner in laminates.