Advances in Cohesive Zone Modeling of Dynamic Fracture

Seagraves, Andrew; Radovitzky, Raúl

doi:10.1007/978-1-4419-0446-1_12

Cited by 24 publications

(27 citation statements)

References 89 publications

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“…The idea of combining a full-DG method with an extrinsic cohesive law was pioneered by J. Mergheim et al [22] and by R. Radovitzky et al [11,12] …”

Section: Combination Full-dg / Extrinsic Cohesive Lawmentioning

confidence: 99%

“…In such an approach, cohesive elements, integrating the TSL, are inserted as interface elements between bulk elements. Unfortunately, as it is extensively discussed in [11,12], the two classical methods considered to introduce the cohesive elements suffer from severe limitations. On the one hand, an intrinsic cohesive law [4,6,9,13], for which cohesive elements are introduced at the beginning of the simulation, has to consider the pre-fracture stage by inserting an initial slope in the TSL (see Fig.…”

Section: Introductionmentioning

confidence: 99%

“…This method was pioneered by J. Mergheim et al [22], by R. Radovitzky et al [11,12],and by Prechtel et al [23]. In this method, interface elements are inserted at the beginning of the simulation between discontinuous bulk elements to weakly ensure the compatibility condition in a stable and consistent manner.…”

Section: Introductionmentioning

confidence: 99%

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A one field full discontinuous Galerkin method for Kirchhoff–Love shells applied to fracture mechanics

Becker

Geuzaine

Noels

2011

Computer Methods in Applied Mechanics and Engineering

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In order to model fracture, the cohesive zone method can be coupled in a very efficient way with the Finite Element method. Nevertheless, there are some drawbacks with the classical insertion of cohesive elements. It is well known that, on one the hand, if these elements are present before fracture there is a modification of the structure stiffness, and that, on the other hand, their insertion during the simulation requires very complex implementation, especially with parallel codes. These drawbacks can be avoided by combining the cohesive method with the use of a discontinuous Galerkin formulation. In such a formulation, all the elements are discontinuous and the continuity is weakly ensured in a stable and consistent way by inserting extra terms on the boundary of elements. The recourse to interface elements allows to substitute them by cohesive elements at the onset of fracture.The purpose of this paper is to develop this formulation for Kirchhoff-Love plates and shells. It is achieved by the establishment of a full DG formulation of shell combined with a cohesive model, which is adapted to the special thickness discretization of shell formulation. In fact, this cohesive model is applied on resulting reduced stresses which are the basis of thin structures formulations.Finally, numerical examples demonstrate the efficiency of the method.

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“…The idea of combining a full-DG method with an extrinsic cohesive law was pioneered by J. Mergheim et al [22] and by R. Radovitzky et al [11,12] …”

Section: Combination Full-dg / Extrinsic Cohesive Lawmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A one field full discontinuous Galerkin method for Kirchhoff–Love shells applied to fracture mechanics

Becker

Geuzaine

Noels

2011

Computer Methods in Applied Mechanics and Engineering

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“…The fracture processes at these surfaces of discontinuity can be described by cohesive zone models (CZM) of fracture (6; 7) via a phenomenological traction-separation law (TSL). The most popular implementation of this concept is the so-called "cohesive element" method (see (8) for a recent review) in which crack openings are represented as displacement jumps at the inter-element boundaries using "interface" or "cohesive" finite elements. Simulations using cohesive element methods suffer from a well-known mesh dependency as the possible crack nucleation sites and propagation paths are constrained by the finite element discretization (9; 10; 11; 12).…”

Section: Introductionmentioning

confidence: 99%

A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, cohesive element method

Radovitzky

Seagraves

Tupek

et al. 2011

Computer Methods in Applied Mechanics and Engineering

134

110

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A scalable algorithm for modeling dynamic fracture and fragmentation of solids in three dimensions is presented. The method is based on a combination of a discontinuous Galerkin (DG) formulation of the continuum problem and Cohesive Zone Models (CZM) of fracture. Prior to fracture, the flux and stabilization terms arising from the DG formulation at interelement boundaries are enforced via interface elements, much like in the conventional intrinsic cohesive element approach, albeit in a way that guarantees consistency and stability. Upon the onset of fracture, the traction-separation law (TSL) governing the fracture process becomes operative without the need to insert a new cohesive element. Upon crack closure, the reinstatement of the DG terms guarantee the proper description of compressive waves across closed crack surfaces.The main advantage of the method is that it avoids the need to propagate topological changes in the mesh as cracks and fragments develop, which enables the Preprint submitted to Elsevier Science 16 August 2010indistinctive treatment of crack propagation across processor boundaries and, thus, the scalability in parallel computations. Another advantage of the method is that it preserves consistency and stability in the uncracked interfaces, thus avoiding issues with wave propagation typical of intrinsic cohesive element approaches.A simple problem of wave propagation in a bar leading to spall at its center is used to show that the method does not affect wave characteristics and as a consequence properly captures the spall process. We also demonstrate the ability of the method to capture intricate patterns of radial and conical cracks arising in the impact of ceramic plates which propagate in the mesh impassive to the presence of processor boundaries.

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“…Cohesive crack models are based on pre-embedding cohesive interface elements without re-meshing Su et al, 2009;Xie & Waas, 2006;Yang & Xu, 2008;Yang et al, 2009). They assume the existence of a fracture process zone, originally introduced by Barenblatt (1959) and Dugdale (1960) for elasto-plastic fracture of ductile materials and later elaborated by Hillerborg, Modéer, and Petersson (1976) to include quasibrittle materials in their 'fictitious crack model' and adopted by many others including Ba zant and Oh (1983), de Borst (2003), Carpinteri (1989), Seagraves and Radovitzky (2010), Tvergaard and Hutchinson (1992) and Yang and Xu (2008).…”

Section: Numerical Crack Modelsmentioning

confidence: 99%