Analytic Modeling of Laminar Composites with Application to Through-Crack Problems.

摘要

The variational principle of minimum complementary potential energy is employed to develop an approximate three-dimensional model for the stress distribution in laminar composites. This approximate theory is applied to the problem of a symmetric composite plate containing a through crack subjected to in-plane loading. Asymptotic solutions are obtained for the stress components in the vicinity of the leading crack edge. These solutions are in complete agreement with information obtained from an exact three-dimensional asymptotic analysis; i.e.,the in-plane variation of the stress components within each layer is described by the singular portion of the elastic,plane strain crack solution. However,because of the three-dimensional character of the problem,the amplitude of the singular solution for the stress components varies along the leading crack edge. A two-parameter model incorporating the concept of surface and interfacial boundary layers is used to describe this transverse variation. (Modified author abstract)