Abstract

In this paper, an efficient finite element model for the structural analysis of cracked beam-columns with arbitrary cross-sections is presented. For this propose the combination of a planar beam element with only displacement degrees of freedom and extended finite element method (XFEM) is used. This element is highly capable in modeling the effect of edge cracks on the structural behavior of beams under various loading and boundary conditions. The method is able to solve the problem related to cracked beams with non-rectangular cross-sections with much less computational efforts compared to the available extended finite element models. Numerical examples are given to demonstrate the accuracy and the efficiency of the present method. There is a good agreement between the results obtained by the proposed method and those obtained by ABAQUS XFEM.

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