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Journal Articles International Journal of Fracture Year : 2015

Extended finite element method in computational fracture mechanics: a retrospective examination

John Dolbow

Abstract

In this paper, we provide a retrospective examination of the developments and applications of the extended finite element method (X-FEM) in computational fracture mechanics. Our main attention is placed on the modeling of cracks (strong discontinuities) for quasistatic crack growth simulations in isotropic linear elastic continua. We provide a historical perspective on the development of the method, and highlight the most important advances and best practices as they relate to the formulation and numerical implementation of the X-FEM for fracture problems. Existing challenges in the modeling and simulation of dynamic fracture, damage phenomena, and capturing the transition from continuum-to-discontinuum are also discussed.
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Dates and versions

hal-04507858 , version 1 (06-05-2024)

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Natarajan Sukumar, John Dolbow, Nicolas Moes. Extended finite element method in computational fracture mechanics: a retrospective examination. International Journal of Fracture, 2015, 196 (1-2), pp.189-206. ⟨10.1007/s10704-015-0064-8⟩. ⟨hal-04507858⟩
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