Enriched finite element-penalty function method for modeling interface cracks with contact

Abstract In this paper the enriched finite element method is combined with a penalty function technique, to investigate the interface crack problem in an infinite plate, when the crack surfaces are in large-scale contact. Such problems arise under conditions of mixed mode loading and the correct treatment of the problem requires the solution of the nonlinear ‘global’ crack/contact problem. Comparisons are given which demonstrate the error that arises when large-scale crack surface contact is neglected. Additionally, it is shown that the total strain energy release rates, at both crack tips in an embedded interface crack subjected to mixed loading, are equal. This is true even when one crack tip exhibits large-scale contact and the other does not.

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