Analysis of a rate-dependent cohesive model for dynamic crack propagation

Kubair, Dhirendra V.; Geubelle, Philippe H.; Huang, Y.

doi:10.1016/s0013-7944(02)00042-5

Cited by 57 publications

(40 citation statements)

References 21 publications

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“…A further common assumption is the linear relationship , where is a parameter that is function of separation rate. This returns an expression similar to that has used in reference [25], i.e. the rate-dependent stress relation can then be written as: (14) where B is a material parameter reflecting the strength of rate dependency.…”

Section: Model (A-i)mentioning

confidence: 99%

Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation

Salih

Davey²,

Zou³

2016

International Journal of Solids and Structures

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To overcome deficiencies with existing approaches a new cohesive zone model is introduced and trialled in this paper. The focus is on rate-dependent cohesive zone models which have appeared in the recent literature but can be shown to suffer unrealistic behaviour. Different combinations of material response are examined with rate effects appearing either in the bulk material or localised to the cohesive zone or in both. A benefit of using a cohesive-zone approach is the ability to capture plasticity and rate effects locally. Introduced is a categorisation of bulk-material responses and cohesive zone models with particular prominence to the role of rate and plasticity. The shape of the traction separation curve is shown to have an effect and captured in this paper with application of a trapezoidal cohesive zone model. Rate dependency for the cohesive zone model is introduced in terms of a ratedependent dashpot models applied either in parallel and/or in series. Traditionally, two possible methods are adopted to incorporate rate dependency, which are either via a temporal critical stress or a temporal critical separation. Applied singularly, tests reveal unrealistic crack behaviour at high loading rates. The new rate-dependent cohesive model introduced here couples the temporal responses of critical stress and critical displacement and is shown to provide for a stable realistic solution to dynamic fracture. Dynamic trials are performed on a cracked specimen to demonstrate the capability of the new approach.

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Section: Model (A-i)mentioning

confidence: 99%

Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation

Salih

Davey²,

Zou³

2016

International Journal of Solids and Structures

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“…Many models have been introduced including: perfectly plastic, linear softening, progressive softening, and regressive softening (Camanho & Davila, 2004). Several ratedependent models have also been introduced (Glennie, 1971;Xu et al, 1991;Tvergaard & Hutchinson, 1996;Costanzo & Walton, 1997;Kubair et al, 2003). A rate-dependent cohesive zone model was first introduced by Glennie (Glennie, 1971), where the traction in the cohesive zone is a function of the crack opening displacement time derivative.…”

Section: Introductionmentioning

confidence: 99%

“…In each model the viscosity parameter (η ) is used to vary the degree of rate dependence. Kubair et al (Kubair et al, 2003) thoroughly summarized the evolution of these rate-dependant models and provided the solution to the mode III steady-state crack growth problem as well as spontaneous propagation conditions. A main advantage of the use of cohesive elements is the capability to predict both onset and propagation of delamination without previous knowledge of the crack location and propagation direction.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Delamination Growth in Composite Materials using LS-DYNA: Formulation and Implementation of New Cohesive Elements

Elmarakbi¹

2011

Advances in Composite Materials - Ecodesign and Analysis

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“…Many models have been introduced including: perfectly plastic, linear softening, progressive softening, and regressive softening [8]. Several rate-dependent models have also been introduced [9][10][11][12][13]. A rate-dependent cohesive zone model was first introduced by Glennie [9], where the traction in the cohesive zone is a function of the crack opening displacement time derivative.…”

Section: Introductionmentioning

confidence: 99%

“…In each model the viscosity parameter (g) is used to vary the degree of rate dependence. Kubair et al [11] thoroughly summarized the evolution of these rate-dependant models and provided the solution to the mode III steady-state crack growth problem as well as spontaneous propagation conditions.…”

Section: Introductionmentioning

confidence: 99%

Finite element simulation of delamination growth in composite materials using LS-DYNA

Elmarakbi

Fukunaga

2009

Composites Science and Technology

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In this paper, a modified adaptive cohesive element is presented. The new elements are developed and implemented in LS-DYNA, as a user defined material subroutine (UMAT), to stabilize the finite element simulations of delamination propagation in composite laminates under transverse loads. In this model, a pre-softening zone is proposed ahead of the existing softening zone. In this pre-softening zone, the initial stiffness and the interface strength are gradually decreased. The onset displacement corresponding to the onset damage is not changed in the proposed model. In addition, the critical energy release rate of the materials is kept constant. Moreover, the constitutive equation of the new cohesive model is developed to be dependent on the opening velocity of the displacement jump. The traction based model includes a cohesive zone viscosity parameter (g) to vary the degree of rate dependence and to adjust the maximum traction. The numerical simulation results of DCB in Mode-I is presented to illustrate the validity of the new model. It is shown that the proposed model brings stable simulations, overcoming the numerical instability and can be widely used in quasi-static, dynamic and impact problems.

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Analysis of a rate-dependent cohesive model for dynamic crack propagation

Cited by 57 publications

References 21 publications

Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation

Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation

Finite Element Analysis of Delamination Growth in Composite Materials using LS-DYNA: Formulation and Implementation of New Cohesive Elements

Finite element simulation of delamination growth in composite materials using LS-DYNA

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