Automated 3‐D crack growth simulation

Carter, B. J.; Wawrzynek, Paul A.; Ingraffea, A.R.

doi:10.1002/(sici)1097-0207(20000110/30)47:1/3<229::aid-nme769>3.3.co;2-u

Cited by 23 publications

(24 citation statements)

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“…For example, the use of cohesive elements across element edges was developed in Needleman (1987), Tvergaard (1990), Xu and Needleman (1994), Camacho and Ortiz (1996), Ortiz and Pandolfi (1999), among others. The dependence of these techniques on the alignment of the mesh can be diminished with the consideration of adaptive refinement techniques, as considered in Ingraffea and Saouma (1985), Ortiz and Quigley (1991), Marusich and Ortiz (1995), Bittencourt et al (1996), or Carter et al (2000), to mention just a few.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

2009

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This paper presents the extension of some finite elements with embedded strong discontinuities to the fully transient range with the focus on dynamic fracture. Cracks and shear bands are modeled in this setting as discontinuities of the displacement field, the so-called strong discontinuities, propagating through the continuum. These discontinuities are embedded into the finite elements through the proper enhancement of the discrete strain field of the element. General elements, like displacement or assumed strain based elements, can be considered in this framework, capturing sharply the kinematics of the discontinuity for all these cases. The local character of the enhancement (local in the sense of defined at the element level, independently for each element) allows the static condensation of the different local parameters considered in the definition of the displacement jumps. All these features lead to an efficient formulation for the modeling of fracture in solids, very easily incorporated in an existing general finite element code due to its modularity. We investigate in this paper the use of this finite element formulation for the special challenges that the dynamic range leads to. Specifically, we consider the modeling of failure mode transitions in ductile materials and crack branching in brittle solids. To illustrate the performance of the proposed formulation, we present a series of numerical simulations of these cases with detailed comparisons with experimental and other numerical results reported in the literature. We conclude that these finite element methods handle well these dynamic problems, still maintaining the aforementioned features of computational efficiency and modularity.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

2009

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“…In the coupled method, the fast marching method maintains the location and motion of the crack front via signed distance functions, whereas the X-FEM is used to compute the local front velocity. In keeping with standard level set notation, we use in three dimensions are: finite element methods [12,13], boundary element-based techniques [14][15][16][17][18][19], and boundary integral equations [20,21]. Gao and Rice [22] and Lai et al [23] used perturbation analysis to study planar and non-planar cracks, whereas Lazarus and coworkers [24][25][26] conducted planar crack growth simulations.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Sukumar

Chopp

Béchet

et al. 2008

Numerical Meth Engineering

114

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SUMMARYA numerical technique for non-planar three-dimensional linear elastic crack growth simulations is proposed. This technique couples the extended finite element method and the fast marching method.In crack modeling using the extended finite element method, the framework of partition of unity is used to enrich the standard finite element approximation by a discontinuous function and the twodimensional asymptotic crack-tip displacement fields. The initial crack geometry is represented by two level set functions, and subsequently signed distance functions are used to maintain the location of the crack and to compute the enrichment functions that appear in the displacement approximation.Crack modeling is performed without the need to mesh the crack, and crack propagation is simulated * Correspondence to: N. Sukumar,

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“…The BEM code of FRANC3D/Classic Version 3.2 is a specialized and powerful fracture analysis program, capable of accurately evaluating SIFs along 3-D crack fronts and representing the propagation of these cracks (Carter et al 2000;Cornell Fracture Group 2003). FRANC3D calculates SIFs by using a displacement correlation technique based on the interpolated values calculated at points with measured distances from the geometric crack fronts.…”

Section: Methods and Models Of Numerical Simulationsmentioning

confidence: 99%

Experimental and Numerical Research on 3D Crack Growth in Rocklike Material Subjected to Uniaxial Tension

Yang

Jiang

et al. 2013

J. Geotech. Geoenviron. Eng.

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Automated 3‐D crack growth simulation

Cited by 23 publications

References 0 publications

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Experimental and Numerical Research on 3D Crack Growth in Rocklike Material Subjected to Uniaxial Tension

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