An Efficient Model for Crack Propagation
S.S. Xu and Y. Dong and Y. Zhang

doi:10.3970/cmes.2008.030.017
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 30, No. 1, pp. 17-26, 2008
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Keywords meshless, crack, enrichment, fracture
Abstract A meshless method for arbitrary crack growths is presented. The new method is based on a local partition of unity by introducing additional degrees of freedom that determine the opening of the crack. The crack is modeled with overlapping crack segments located at the nodes. The crack segments are rotated at directional changes of the principal tensile stress such that smearing of the crack is avoided. Such smearing occurs in fixed crack method probably because of inaccurate stress state around the crack tip when the crack propagates. The key feature of our method is that it does not require algorithms to track the crack path. The simplicity of our method makes it is especially useful for industrial applications.
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