FraMCoS 6 2007 Catania, Italy

An Enhanced Cohesive Crack Element for XFEM using a Double Enriched Displacement Field

ApplyingtheprinciplesoftheeXtendedFiniteElementMethodapartlycrackedcohesiveelement is developed. The element is based on a double enrichment of the standard displacement field, which allows the element to model equal stresses at the both sides of the crack in the crack-tip element. The formulation is implemented for…

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Year 2007
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Abstract

ApplyingtheprinciplesoftheeXtendedFiniteElementMethodapartlycrackedcohesiveelement is developed. The element is based on a double enrichment of the standard displacement field, which allows the element to model equal stresses at the both sides of the crack in the crack-tip element. The formulation is implemented for the 3 node constant strain triangle. A general stress calculation in the cracked elements is presented, the principle is based on an area weighting of the stresses in the cracked elements, which gives a continuoustransitiontotheuncrackedrespectivelythefullycrackedelement. Theperformanceofthedeveloped element is tested in a Three Point beam Bending Test, where the partly cracked element gives a good over all structural response. Furthermore the partly cracked element gives results without the often seen zigzag behavior onthe load-deflection curve.