A generalized cohesive element technique for arbitrary crack motion

Authors:
Spandan Maiti;Dipankar Ghosh;Ghatu Subhash
Affiliations:
Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295, USA;Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611-6250, USA;Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611-6250, USA
Venue:
Finite Elements in Analysis and Design
Year:
2009

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Abstract

A computational method for arbitrary crack motion through a finite element mesh, termed as the generalized cohesive element technique, is presented. In this method, an element with an internal discontinuity is replaced by two superimposed elements with a combination of original and imaginary nodes. Conventional cohesive zone modeling, limited to crack propagation along the edges of the elements, is extended to incorporate the intra-element mixed-mode crack propagation. Proposed numerical technique has been shown to be quite accurate, robust and mesh insensitive provided the cohesive zone ahead of the crack tip is resolved adequately. A series of numerical examples is presented to demonstrate the validity and applicability of the proposed method.