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3D corrected XFEM approach and extension to finite deformation theory. (English) Zbl 1216.74026
Summary: In this paper, the modified or corrected extended finite element method originally presented in T.-P. Fries [Int. J. Numer. Methods Eng. 75, No. 5, 503–532 (2008; Zbl 1195.74173)] for the 2D case is extended to 3D including different remedies for the problem that the crack front enrichment functions are linearly dependent in the blending elements. In the context of this extension, we address a number of computational issues of the 3D XFEM, in particular possible quadrature rules for elements with discontinuities. Also, the influence of finite deformation theory for crack simulations in comparison to linear elastic fracture mechanics is investigated. A number of numerical examples demonstrate the behavior of the presented possibilities.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
74B20 Nonlinear elasticity
Software:
XFEM
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References:
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