Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition

By Shaofan Li, Wing Kam Liu, Ares Rosakis, Ted Belytschko, W. Hao. 2002

184 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/275edc99162cf3e27979608ca5a144da1a475914

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Citations in the corpus

An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function (2014, background): “Remarkable successes have been reported in applying these methods for analyzing challenging engineering problems, namely, fracture modelling [4-6], plate problems [7], finite deformation problem [8,9], consolidation problem [10], dynamic simulation [11], three-dimensional problems [12,13], topology-”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, background): “We can quote Gao and Klein (1999), Falk et al. (2001), Duarte et al. (2001), Klein et al. (2001), Li et al. (2002), Belytschko et al. (2003), Areias and Belytschko (2006), Song et al. (2006), Huespe et al. (2006), Medyanik et al. (2007), Remmers et al. (2008), or Rabczuk and Samaniego (2008),…”
A simplified mesh‐free method for shear bands with cohesive surfaces (2007, background): “[20], Batra and Gummalla [48], Zhou et al.”
The simulation of dynamic crack propagation using the cohesive segments method (2008, unknown): “This type of failure has been modelled by Needleman and Tvergaard (1995) and Li et al. (2002).”
Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity (2012, methodology): “The application to dynamic shear band propagation problem was conducted by Li et al. (2002) where an explicit mesh-free Galerkin formulation with RKPM kernel function has been used.”
Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory (2004, background): “This leads to numerical stability problems, such as mesh size and mesh alignment sensitivities (e.g. Bammann et al., 1999; Glema et al., 2000; Li et al., 2002), particularly, in problems exhibiting strain localization phenomena.”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, background): “extended finite element [1, 2], meshfree [3, 4, 5, 6, 7, 8, 9], phantom-node [10, 11, 12], XIGA [13, 14] and remeshing techniques [15, 16]), it is still a major challenge within these frameworks.”
Mesh-independent discrete numerical representations of cohesive-zone models (2006, unknown): “[52].”