Process zone resolution by extended finite elements

By Borek Patzák, Milan Jirásek. 2003

110 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4903f55e60b1c7069e80424a87f52919c799cd81

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks (2015, background): “To the best knowledge of the authors, only References [7, 49, 78] reported success in modeling this curious result.”
A review of extended/generalized finite element methods for material modeling (2009, methodology): “In the framework of the regularized step function approach introduced by Patzak and Jirasek [83], Benvenuti et al [17] proposed a different mechanical model where the bulk strain field and the localized strain field are assumed to govern distinct mechanically uncoupled mechanisms.”
Generalized Gaussian Quadrature Rules for Discontinuities and Crack Singularities in the Extended Finite Element Method (2010, background): “Tornberg [28] and Patzák and Jirásek [29] proposed regularized forms of the Heaviside function that smear the strong discontinuity over a short distance on which the discontinuous function is approximated by a smooth function.”
The extended/generalized finite element method: An overview of the method and its applications (2010, methodology): “In contrast, if determining the width is part of the solution several regularized step functions may be used with the aim to span the whole range of gradients between smooth and strongly discontinuous fields, see Patzák and Jirásek [142] and Abbas and Fries [1].”
Mixed stabilized finite element methods in nonlinear solid mechanics: Part II: Strain localization (2010, background): “In fact, both formulations are often applied in a regularized manner ([44], [45], [46], [47], [48]), because truly discontinuous functions do not perform very well in FE contexts.”