A comparative study on finite element methods for dynamic fracture

By Jeong‐Hoon Song, Hongwu Wang, Ted Belytschko. 2008

478 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d1167bc0c9e28d4278296c104d9bb925baa9e00f

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Immersed particle method for fluid–structure interaction (2009, methodology): “The PU-based method is the mesh-free implementation of the extended finite element method [25–27].”
Geometric deep learning for computational mechanics Part I: Anisotropic Hyperelasticity (2020, result): “(Kalthoff and Winkler, 1988; Kalthoff, 2000) have observed the crack to propagate at 70◦ for an isotropic material, results that have previously been reproduced with numerical simulations in other studies (Belytschko et al., 2003; Song et al., 2008; Borden et al., 2012b).”
Studies of dynamic crack propagation and crack branching with peridynamics (2010, methodology): “Cohesivezone based models need to modify the experimental values of the fracture energy by several factors in order to get propagation velocities in the range of measured ones (Song et al. 2008).”
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation (2012, methodology): “Advanced extended finite element methods with nodal enrichment for dynamic fracture are outlined e.g. in Belytschko et al. (2003), Song and Belytschko (2009), Song et al. (2008, 1984), and Fagerström and Larsson (2006).”
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, background): “Secondary cracks occur in the bottom right corner of the model because of wave reflections [21].”
Why do cracks branch? A peridynamic investigation of dynamic brittle fracture (2015, background): “Doubts about whether continuum approaches would ever be capable in successfully modeling the evolution of dynamic cracks, through fragmentation, have persisted for decades (Song et al. 2008).”
A regularized phenomenological multiscale damage model (2014, background): “In comparison, the average angle predicted by extended FEM in [40] was 60:7ı.”
On three-dimensional modelling of crack growth using partition of unity methods (2010, unknown): “[128].”
Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, background): “For the modeling of dynamic fracture, such as the impulsive loading of concrete, accurate prediction of discrete cracks are unrealistic; therefore, smeared crack approaches based on continuum damage models are preferred [28, 29].”