Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm

Foulk, James W.; Allen, David H.; Helms, Kayleen L. E.

doi:10.1016/s0045-7825(99)00211-x

Cited by 92 publications

(40 citation statements)

References 23 publications

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“…Foulk et al (2000) established an algorithm for the implementation of three dimensional cohesive zones within the framework of the finite element method. In a similar manner, Eqs.…”

Section: Cohesive Zones and The Finite Element Methodsmentioning

confidence: 99%

A model for predicting the evolution of damage in viscoelastic particle-reinforced composites

Seidel

Allen

Helms

et al. 2005

Mechanics of Materials

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A viscoelastic cohesive zone model is employed within the framework of a finite element code to analyze a two-phase viscoelastic particle-reinforced composite material consisting of a relatively stiff aggregate embedded in a copolymer binder. The composite of interest, LX17, is noted to have a very large aggregate volume fraction and as such, aggregate grain boundaries were generated within finite element meshes along which viscoelastic cohesive zones have been embedded to model the binder. It has been observed experimentally that the majority of damage in LX17 occurs within the binder, and thus, a damage evolution law has been applied to the viscoelastic cohesive zones that is phenomenological in nature. The responses obtained for the composite from the FEM analysis are then compared to the experimental data compiled by Lawrence Livermore National Labs for various constant strain rate tests conducted by Groves and Cunningham [Tensile and compressive mechanical properties of billet pressed LX17-1 as a function of temperature and strain rate. UCRL-ID-137477. Internal report prepared for Lawrence Livermore National Laboratory, Livermore, CA].

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“…Foulk et al (2000) established an algorithm for the implementation of three dimensional cohesive zones within the framework of the finite element method. In a similar manner, Eqs.…”

Section: Cohesive Zones and The Finite Element Methodsmentioning

confidence: 99%

A model for predicting the evolution of damage in viscoelastic particle-reinforced composites

Seidel

Allen

Helms

et al. 2005

Mechanics of Materials

Self Cite

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“…The di erences between these models is somewhat tenuous in that they each incorporate an interface behaviour, evaluate failure, then modify the interface behaviour to simulate surface creation. The similarity between the interface element and cohesive models is exempliÿed in the work of Foulk et al [11] in which cohesive models have been recast in an interface sti ness matrix form and Bolzon [12] in which the author presents a derivation of the FE equations with separate consideration of interfacial conditions at a crack face. Recasting the continuous interface method as a cohesive model in which the traction-displacement relationship is inÿnite at zero displacement and zero everywhere else provides the ÿnal link between the three models.…”

Section: Fe Fracture Modelsmentioning

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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“…Sufficient accuracy can usually be obtained by this method if successively smaller time steps are employed until convergence is obtained. Details of this approach may be found in Zocher and Allen [23] and Foulk et al [24].…”

Section: Formation Of a Multiscale Algorithmmentioning

confidence: 99%

A model for predicting the evolution of multiple cracks on multiple length scales in viscoelastic composites

Allen

Searcy

2006

J Mater Sci

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Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm

Cited by 92 publications

References 23 publications

A model for predicting the evolution of damage in viscoelastic particle-reinforced composites

A model for predicting the evolution of damage in viscoelastic particle-reinforced composites

An algorithm to simulate surface creation without element deletion or remeshing

A model for predicting the evolution of multiple cracks on multiple length scales in viscoelastic composites

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