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In this paper, X-FEM (eXtended FEM) proposed by Belytschko et al, Mose et al is modified by means of a relative discontinuous displacement on the crack surface. In comparison with the relative discontinuous displacement, the enriched nodal degree freedoms in the X-FEM have no direct physical meaning. Also, the number of enriched freedom decreases in this modified X-FEM. For the problem of infinite plate with acrack, the result of the modified X-FEM shows better approximation than that of the original X-FEM

A modified X-FEM analysis with an enriched freedom of relative discontinuous displacement