Double noding technique for mixed mode crack propagation studies

Liaw, B. M.; Kobayashi, A. S.; Emery, A. F.

doi:10.1002/nme.1620200512

Cited by 14 publications

(4 citation statements)

References 12 publications

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“…Different numerical schemes are used to model crack propagation, which is based upon fracture mechanics principles. Among them, the double noding technique , local or general remeshing , boundary elements , cohesive zone models , and the extended finite element method can be mentioned. The models based on the traditional finite element method require mesh refinement in order to model the singularity of the stress field around the crack tip and to calculate correctly the value of SIFs.…”

Section: Introductionmentioning

confidence: 99%

A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials

Guy

Seyedi

Hild

2012

Numerical Meth Engineering

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SUMMARYA probabilistic damage model is developed to study crack initiation and growth in quasi-brittle materials. Two different thresholds are considered to describe these mechanisms. A Weibull model is used to account for the randomness of crack initiation(s) and then a fracture mechanics based threshold is considered to model crack propagation. The model is integrated in a finite element code via a nonlocal damage approach. A regularization operator based on a stress regularization is introduced. Both damage thresholds are checked using the 'regularized' stress field to avoid mesh dependence. The interaction between propagating cracks and potential initiation sites is accounted for. Copyright

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Section: Introductionmentioning

confidence: 99%

A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials

Guy

Seyedi

Hild

2012

Numerical Meth Engineering

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“…Common exo-element techniques include continuous element interfaces [4,5], zero or small volume interface elements [6,7], and interface cohesive models [8]. Another, less common, method of exo-element separation is a Lagrange multiplier approach which is commonly used to connect discrete domains of elements and has found use in parallelization of numerical schemes for elliptic partial di erential equations [9].…”

Section: Introductionmentioning

confidence: 99%

An algorithm to simulate surface creation without element deletion or remeshing

Gerken

Bennett

Smith

2003

Numerical Meth Engineering

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SUMMARYOne of the major obstacles to modelling discrete fracture and fragmentation of materials within the ÿnite element (FE) framework is the inability to easily model the resulting geometry changes. This paper presents an algorithm for three-dimensional element cohesion and separation implemented in the explicit FE code DYNA3D. The algorithm handles mesh deÿnition and solution di culties necessary for general element separation with minimal additional e ort required of the user.The algorithm modiÿes the standard mesh deÿnition so that element separation does not require remeshing. The original continuity of the structure is maintained by averaging the nodal accelerations for each coincident node set then applying this average acceleration to each of the nodes in the set. When speciÿed failure criteria for an interface are met, averaging is no longer performed, thereby allowing the coincident nodes to separate and create new surface. The new surface can be automatically incorporated in the contact deÿnition so that the contact of these new surfaces is modelled using the same contact considerations of the original FE model.Following a discussion of historical and current FE fracture=fragmentation models, the general framework of the algorithm is presented. Also, results are presented which show that the algorithm simulates surface creation in a variety of simulations. Published in

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“…Numerical examples of the application of the path independent integrals and the finite element method for computation of DSIF have been presented in several papers [11,12,13,14,15]. The DBEM and path-independent integrals were applied by Portela, Aliabadi and Rooke [4,5] for stationary and propagating cracks in statically loaded structures and by Fedelinski, Aliabadi and Rooke [16] for stationary cracks in structures with inertial loads.…”

Section: Introductionmentioning

confidence: 99%

The dual boundary element method:?-integral for dynamic stress intensity factors

Fedeliński

Aliabadi

Rooke³

1994

Int J Fract

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The application of the dual boundary element method and the path independent J-integral for the evaluation of dynamic stress intensity factors of stationary cracks in a linear elastic material is presented. The distinct set of boundary equations of elastodynamics is obtained by using the dual boundary element method and the dual reciprocity approach. Numerical implementation of the path-independent J-integral and the decomposition technique is presented. The method is applied for several cracked structures and the results are compared with solutions obtained by using other methods.

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Double noding technique for mixed mode crack propagation studies

Cited by 14 publications

References 12 publications

A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials

A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials

An algorithm to simulate surface creation without element deletion or remeshing

The dual boundary element method:?-integral for dynamic stress intensity factors

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