Three-dimensional crack growth with hp-generalized finite element and face offsetting methods

By J. Pereira, Carlos Armando Duarte, Xiangmin Jiao. 2010

68 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/733211fe55cd9a9f6fce253e8a929271d9d22bca

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Coupled hydromechanical‐fracture simulations of nonplanar three‐dimensional hydraulic fracture propagation (2018, methodology): “Further details on this mesh refinement/unrefinement algorithm can be found in Pereira et al.(39) The 3-D GFEM and 2-D fluid finite element meshes change between fracture propagation steps.”
Phase-field modeling of hydraulic fracture (2016, methodology): “The discrete crack finite element methods usually implement numerical enrichment functions to allow cracks to grow through elements([33,34]) or they relocate nodal positions such that cracks grow along element boundaries([35]).”
Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method (2012, methodology): “The GFEM denotes a PUM with the partition of unity provided by Lagrangian finite element shape functions.”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, background): “It is also possible to change the size of ̋L as the crack propagates, similarly to the approach presented in [89] for linear elastic fracture problems.”
A two-scale approach for the analysis of propagating three-dimensional fractures (2012, methodology): “Representative methods for three-dimensional crack growth simulations include the standard finite element method (FEM) with remeshing [60], the boundary element method (BEM) [36] [11], and the extended [38] [25] [57] [1] [8] [58] or generalized FEM [18] [48].”