Physics-based modeling of brittle fracture: Cohesive formulations and the application of meshfree methods

By Patrick A. Klein, J. W. Foulk, E. Chen, S. A. Wimmer, H. Gao. 2000

194 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/09fdb13e7636a0ef2746cc6a0fd0e9a90a75272c

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials (2007, methodology): “Previous researchers who have used intrinsic cohesive models [19, 28] recommend that at least two to three cohesive elements be present inside the cohesive zone, whose size is estimated by [44] cz = 8 E 1 − 2 GIc (2)ave (10)”
A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method (2011, background): “In fact, as stated, this term corresponds to the stabilization term of the DG formulation, which only enforces consistency in the limit when the tangent in the reversible range of the TSL T(JφhK) tends to infinity (16).”
Mechanics of hierarchical adhesion structures of geckos (2005, methodology): “To illustrate this point, we have analyzed in some detail the elastic punch model with a=0.7 using a cohesive surface model developed by Tvergaard and Hutchinson (1996) implemented in a finite element code (Klein et al., 2001).”
Time continuity in cohesive finite element modeling (2003, background): “Keywords: Cohesive interface finite elements, explicit dynamics, regularization”
Mechanical properties of nanostructure of biological materials (2004, methodology): “The crack pattern revealed by our VIB simulation is similar to that observed in experiments.”
Unstructured polygonal meshes with adaptive refinement for the numerical simulation of dynamic cohesive fracture (2014, background): “This initial elastic range creates an artificial compliance in the mesh and can lead to non-physical results (Klein et al. 2000; Blal et al. 2012).”
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials (2005, background): “The elastic compliance added to the structure can be estimated similarly to (Zavattieri and Espinosa, 2001) – see also (Baylor, 1998; Klein et al., 2000):”
Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition (2002, methodology): “Keywords: Adiabatic shear band; Dynamic shear band propagation; Crack propagation; Failure mode transition; Mesh-free methods; Strain localization; Curved shear band; Multi-physics modeling”
Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites (2012, background): “The VIB bonds are “local”, between nearest neighbors only, and the VIB model does not introduce a length-scale [23], while peridynamics is a nonlocal formulation and the horizon introduces a material length-scale.”