Modeling fracture in Mindlin–Reissner plates with the extended finite element method

By John Dolbow, Nicolas Moës, Ted Belytschko. 2000

296 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/949811747a22d15e6bf66fef3a1fee0f096b6c4b

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In Mechanics of Materials

Citations in the corpus

Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test (2004, methodology): “[9] approached shear locking in MindlinReissner plate fracture by enriching the four-node T1 element of Hughes and Tezduyar [19].”
Phase-field modeling of fracture in linear thin shells (2014, unknown): “Non-propagating cracks in plates and shells have been modeled with partition-of-unity methods [6, 7, 8].”
Stability of incompressible formulations enriched with X-FEM (2008, methodology): “The X-FEM method has been used for the simulation of a wide variety of problems such as fracture mechanics problems (2D[18–20], 3D[21–23], plates [24,25], cohesive zone modeling [26,27], dynamic fracture [28], nonlinear fracture mechanics[29–31]), holes [32,33], but also material inclusions [33,34] ”
Stress analysis around crack tips in finite strain problems using the eXtended finite element method (2005, background): “2 Near tip enrichment As pointed out in various works [21, 22], the choice of the right enrichment function is fundamental in the X-FEM in order to achieve precision even with coarse meshes.”
Stable Generalized Finite Element Method (SGFEM) (2011, methodology): “XFEM was employed in [50, 13, 15] to address crack propagation problems in 3-d, problems with branched cracks, and fracture in Reissner-Mindlin plates.”
Strain smoothing in FEM and XFEM (2010, unknown): “[32].”
Analysis of fracture in thin shells by overlapping paired elements (2006, background): “[11] considered non-propagating cracks in plates by XFEM.”
Phantom-node method for shell models with arbitrary cracks (2012, methodology): “[42] mentioned that the enriched approximation may cause a shear locking which reduces the accuracy of the moment intensity factor in the XFEM applied to shell problems; for an infinite plate with a central crack subjected to a farfield moment, the XFEM was even worse than the standard FEM as the th”
Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3) (2014, unknown): “For cracked Mindlin plates [7-9,11], the finite element approximation for enriched elements is expressed in the form of”