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Boundary-layer effects in composite laminates. II: Free-edge stress solutions and basic characteristics. (English) Zbl 0504.73043
Summary: Boundary-layer effects in composite laminates are considered. Based on the theory of anisotropic elasticity and Lekhnitskii’s complex-variable stress function formulation, the exact laminate elasticity solution is derived for the problem. The solution contains the exact boundary-layer stress singularity and higher-order terms in eigenfunction series. Convergence and accuracy of the solution are studied, and present results are compared with existing approximate numerical solutions. For illustrative purposes, the complete solution for a symmetric [45/-45 / -45/45] graphite-epoxy composite is presented to elucidate fundamental characteristics of the boundary-layer effects. Detailed stress distributions in the boundary-layer region are determined. Boundary-layer stress intensity factors are introduced to characterize the singular edge-stress field. Physical significance of the parameters is discussed in the realm of fracture initiation and failure modes in the laminate boundary region.
For Part I, see Zbl 0504.73042.

MSC:
74E30 Composite and mixture properties
74E10 Anisotropy in solid mechanics
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
74S99 Numerical and other methods in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
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