Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials

By Zhengyu Zhang, Glaucio H. Paulino, W. Celes. 2007

161 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/da959c6ed5bfe978a413caddb4347abe19a9a4ac

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In Mechanics of Materials

Citations in the corpus

Simulations of instability in dynamic fracture by the cracking particles method (2009, unknown): “[25] have made an interesting study of the crack instability problem with the interelement crack method and achieved encouraging results.”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, background): “One of the early representative approaches—the so-called cohesive zone model (CZM)—relies on the inclusion of interfacial surface elements (cohesive elements) between adjacent element boundaries [13–16].”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, background): “Numerical simulations of the problem have been reported in Falk et al. (2001), Klein et al. (2001), Belytschko et al. (2003), Zhou and Molinari (2004), Zhou et al. (2005), Huespe et al. (2006),Songetal.(2006),Duarteetal.(2007),Karedla and Reddy (2007), Remmers et al. (2008), Zhang et al. (2007) ,Zi”
A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method (2011, methodology): “Equation (4) can be written as ∫ B0h (ρ0ϕ̈h · δϕh + Ph : ∇0δϕh) dV + ∫ ∂IB0h Jδϕh · PhK · N−dS = ∫ B0h ρ0B · δϕhdV + ∫ ∂N B0h δϕh · T̄dS (5) where we have used the jump operator defined on the interface of two finite elements by J•K = [ •+ − •− ] (6) The main idea of the DG method is to address the ”
Finite Particle Method for Progressive Failure Simulation of Truss Structures (2011, methodology): “By introducing extrinsic cohesive model and topological data structure into the FEM, dynamic fracture and crack microbranching processes were successfully simulated (Zhang et al. 2007).”