A cohesive segments method for the simulation of crack growth

By J. Remmers, D. Borst, A. Needleman. 2003

334 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4d70eae45b1351929b2da49653bb9c46f156f3c6

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In Mechanics of Materials

Citations in the corpus

A phase‐field model for cohesive fracture (2013, methodology): “Remeshing techniques [3, 4] and advanced discretisation techniques such as meshless methods [5] or partition-of-unity based finite element methods [6, 7, 8, 9, 10] can overcome these limitations.”
Modern topics and challenges in dynamic fracture (2005, background): “Beyond the curious historical fact that these new cohesive element models originated in dynamic fracture research, one can easily envisage their widespread use in many other fields (Remmers et al., 2003).”
Cohesive‐zone models, higher‐order continuum theories and reliability methods for computational failure analysis (2004, background): “this observation, the concept of cohesive segments has been proposed [45], in which, again exploiting the partition-of-unity property of finite element shape functions, crack segments equipped with a cohesive law are placed over a patch of elements when a loading criterion is met at an integration p”
Thermo-hydro-mechanical modeling of impermeable discontinuity in saturated porous media with X-FEM technique (2012, background): “[16] for the simulation of crack growth, where the cohesive segments were inserted into finite elements as discontinuities in the displacement field by exploiting the partition-of-unity property.”
An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture (2010, methodology): “Rather than introduce discontinuity surfaces on element interiors, as in [22, 21, 23], we use adaptive spacetime meshing operations to generate new cohesive surfaces in the SDG discretization that align with evolving crack trajectories.”
A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks (2008, neutral): “In the spirit of previous work on cracks in single-phase media [3,17] the interpolation of each component of the displacement field of the solid phase is enriched with discontinuous functions:”
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment (2003, methodology): “[15] have introduced an interesting, simpler variant of this methodology where the discontinuity is introduced independently in three contiguous elements when the principal tensile stress exceeds the strength of the material in an element.”
Cracking node method for dynamic fracture with finite elements (2009, neutral): “only two elements adjacent to the cracked node whereas in [37], the segments are identified with elements and span three elements.”
Cracking particles: a simplified meshfree method for arbitrary evolving cracks (2004, background): “[13] where the discontinuity is modelled by unconnected piecewise linear segments; this approach does not require a representation of the crack surface.”