Meshfree Simulations of Ductile Crack Propagations

Li, Shaofan; Simonsen, Cerup B.

doi:10.1080/15502280590888612

Cited by 45 publications

(29 citation statements)

References 33 publications

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“…In Equation (31), the spatial derivatives ofH vanish since the domain is considered as open set. The cohesive forces are taken into account in the external forces, Equation (30). Gauß quadrature is used to obtain the discrete equations where the nodes are usually located on the vertices of the background cells (Figure 4).…”

Section: The Discrete Momentum Equationmentioning

confidence: 99%

“…Though reasonable results were presented, they did not enforce crack path continuity in general but across certain lines. Simkins and Li [48] proposed a very interesting technique to describe the crack surface using the parametric visibility criterion [30] and a splitting particle technique. In their method, no particles have to be added around the crack tip such that "remeshing" and the associated mapping from the old to the new mesh can be avoided.…”

Section: Introductionmentioning

confidence: 99%

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A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

2007

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This paper proposes a three dimensional meshfree method for arbitrary crack initiation and propagation that ensures crack path continuity for non-linear material models and cohesive laws. The method is based on a local partition of unity. An extrinsic enrichment of the meshfree shape functions is used with discontinuous and near-front branch functions to close the crack front and improve accuracy. The crack is hereby modelled as a jump in the displacement field. The initiation and propagation of a crack is determined by the loss of hyperbolicity or the loss of material stability criterion. The method is applied to several static, quasi-static and dynamic crack problems. The numerical results very precisely replicate available experimental and analytical results.Keywords extended element free Galerkin method (XEFG); three dimensional cracks; cohesive forces; static and dynamic fracture; extrinsic partition of unity enrichment; non-linear fracture mechanics.

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Section: The Discrete Momentum Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

2007

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“…The paper focuses on continuum models for brittle and quasi-brittle fracture. It will not discuss issues related to ductile fracture with plastic deformation prior to localization; see for example, the excellent work of the group of Prof. Li [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

162

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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“…In the recent decades, there have been many works reported in the literature studying how to predict ductile fracture, e.g. finite element approach (FEA) by [2] and [3], and meshfree approach by [4], [5,6].Ductile fracture is often accompanied with enormous high plastic deformation, and in turn the material plastic flow will generate a large amount of heat at the local area where material exhibits viscoplastic behavior. However, the various Gurson models mentioned above are still rate-independent plasticity model, and they do not consider thermo-mechanical coupling effects, [7,8] proposed a rate -dependent plasticity constitutive model, which is referred to as the Johnson-Cook model.…”

Section: Introductionmentioning

confidence: 99%

Modelling of damage Evolution and Fracture in 5182 H111 aluminium alloy

Abdelouahid¹,

Haddou²,

Abdelatif³

2016

jscmt

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This paper presents results of a numerical modeling of ductile fracture and failure of elements made of 5182H111 aluminum alloys subjected to dynamic traction. The analysis was performed using Johnson-Cook model based on ABAQUS software. The aim of the research was to specify and test the mechanical properties during numerical simulations. The experimental test results for the mechanical properties of the studies for steel were presented with a large description of the testing facilities. The test results were used to determine the temperature dependencies of the mechanical properties, yield strength, modulus of elasticity and thermal elongation.

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Meshfree Simulations of Ductile Crack Propagations

Cited by 45 publications

References 33 publications

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Modelling of damage Evolution and Fracture in 5182 H111 aluminium alloy

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