Fatigue crack growth analysis by an enriched meshless method

By Marc Duflot, H. Nguyen‐Dang. 2004

79 citations recorded by the source corpus.

The aim of this paper is to analyze the fatigue growth of cracks under cyclic loading conditions. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors (SIFs) obtained after a linear elastic analysis. We use a meshless method to perform the successive analyses. A new contribution of this paper is that we add to the fixed set of nodes three nodes with a special weight function at each crack tip. This is done in order to accurately catch the stress singularity at these tips. We verify on simple problems that the enriched method gives more accurate SIFs than the classic method. Then, we apply it to a fatigue crack growth problem.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/104529c2a591a8312280d14701c175079cdd1453

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

The numerical simulation of fatigue crack growth using extended finite element method (2012, methodology): “The direction of crack growth is obtained by maximumprincipal stress criterion [7].”
A new weight‐function enrichment in meshless methods for multiple cracks in linear elasticity (2012, methodology): “In fact, in [28], the weight function is enriched locally at the crack tips through functions that mimic the p r singularity in the displacement, with an angular variation at the crack tips and with more nodes with special weight functions added to the set of discretization nodes; instead, in this p”
A study of the representation of cracks with level sets (2007, background): “In References [12–14], an enrichment by means of special weight functions is proposed.”