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The three-dimensional asymptotic singularity fields for surface cracks and corner at a bimaterial interface are evaluated by the finite element iterative method (FEIM). The FEIM approach to three-dimensional cases is described and extended to evaluate the second singular term. The results for the bimaterial surface crack are correlated with experimental results, and the implications of the corner singularity on adhesive failure are discussed. It is shown that surface singularities are stronger than two-dimensional singularities in both cases, which means that commonly used plain-strain conditions at interfaces are nonconservative.
asymptotic fields, singularity, three-dimensional singularities, free surface, interfaces, bimaterials, adhesives, delamination, finite element method, eigenvalue analysis, numerical methods, fracture mechanics, fatigue (materials)
Manager, Office of Naval Research, Arlington, VA
Mechanical engineer, U.S. Army Material Technology Laboratory, Watertown, MA