Modeling of crazing using a cohesive surface methodology

Tijssens, M.G.A.; Giessen, E. van der; Sluys, L.J.

doi:10.1016/s0167-6636(99)00044-7

Cited by 119 publications

(98 citation statements)

References 26 publications

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“…Unfortunately, the physical mechanisms involved in the various stages are still not clearly understood. As far as the mechanical behavior of crazes is concerned, different models have been proposed according to the length scale under consideration, as discussed in (Tijssens et al, 2000).…”

Section: Cohesive Zone Model Of Crazingmentioning

confidence: 99%

Modeling of the competition between shear yielding and crazing in glassy polymers

Estevez

Tijssens

Giessen

2000

Journal of the Mechanics and Physics of Solids

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Modeling of the competition between shear yielding and crazing in glassy polymers Estevez, R.; Tijssens, M.G.A.; van der Giessen, E. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractFracture in amorphous glassy polymers involves two mechanisms of localized deformations: shear yielding and crazing. We here investigate the competition between these two mechanisms and its consequence on the material's fracture toughness. The mechanical response of the homogeneous glassy polymer is described by a constitutive law that accounts for its characteristic softening upon yielding and the subsequent progressive orientational strain hardening. The small scale yielding, boundary layer approach is adopted to model the local finite-deformation process in front of a mode I crack. The concept of cohesive surfaces is used to represent crazes and the traction-separation law incorporates craze initiation, widening and breakdown leading to the creation of a microcrack. Depending on the craze initiation sensitivity of the material, crazing nucleates at the crack tip during the elastic regime or ahead of the crack. As the crazes extend, plasticity develops until an unstable crack propagation takes place when craze fibrils start to break down. Thus, the critical width of a craze appears to be a key feature in the toughness of glassy polymers. Moreover, the opening rate of the craze governs the competition between shear yielding and brittle failure by crazing.

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Section: Cohesive Zone Model Of Crazingmentioning

confidence: 99%

Modeling of the competition between shear yielding and crazing in glassy polymers

Estevez

Tijssens

Giessen

2000

Journal of the Mechanics and Physics of Solids

Self Cite

161

130

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“…[8,10]). Owing to the localized nature of a craze, it may well be described by a cohesive surface model as developed, for instance, in [18,7]; this approach is adopted in the present work. A key ingredient is the relation for the craze widening rate…”

Section: Cohesive Surface Modeling Of Crazingmentioning

confidence: 99%

“…In contrast to the constant cohesive strength in previous studies [18,7]), a more general dependence r c ðD c Þ on the separation (craze width) D c is considered here (Fig. 1c).…”

Section: Cohesive Surface Modeling Of Crazingmentioning

confidence: 99%

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A cell model study of crazing and matrix plasticity in rubber-toughened glassy polymers

Seelig

Giessen

2009

Computational Materials Science

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A cell model study of crazing and matrix plasticity in rubber-toughened glassy polymers Seelig, Th.; van der Giessen, Erik a b s t r a c tThe competition between crazing and matrix shear yielding in rubber-toughened glassy polymers is investigated by detailed finite element simulations. To this end the microstructure is represented by an axisymmetric unit cell of glassy matrix containing a single cavitated rubber particle which is modeled as a void. The behavior of the matrix material is described in the framework of finite strain viscoplasticity while a cohesive surface model is employed for crazing. The influence of the matrix yield behavior, the craze response, the rubber content, and the overall loading state are analyzed.

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“…A related method, using remeshing, was proposed by Camacho and Ortiz [19]. Although analyses with this approach provide much insight, see also References [20,21], they suffer from a certain mesh bias, since the direction of crack propagation is not entirely free, but is restricted to interelement boundaries. Another drawback is that the method is not suitable for large-scale analyses.…”

Section: Discrete Numerical Representations Of Cohesive-zone Modelsmentioning

confidence: 99%

Cohesive‐zone models, higher‐order continuum theories and reliability methods for computational failure analysis

Borst

Gutiérrez

Wells

et al. 2004

Numerical Meth Engineering

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SUMMARYA concise overview is given of various numerical methods that can be used to analyse localization and failure in engineering materials. The importance of the cohesive-zone approach is emphasized and various ways to incorporate the cohesive-zone methodology in discretization methods are discussed. Numerical representations of cohesive-zone models suffer from a certain mesh bias. For discrete representations this is caused by the initial mesh design, while for smeared representations it is rooted in the ill-posedness of the rate boundary value problem that arises upon the introduction of decohesion. A proper representation of the discrete character of cohesive-zone formulations which avoids any mesh bias can be obtained elegantly when exploiting the partition-of-unity property of finite element shape functions. The effectiveness of the approach is demonstrated for some examples at different scales. Moreover, examples are shown how this concept can be used to obtain a proper transition from a plastifying or damaging continuum to a shear band with gross sliding or to a fully open crack (true discontinuum). When adhering to a continuum description of failure, higher-order continuum models must be used. Meshless methods are ideally suited to assess the importance of the higher-order gradient terms, as will be shown. Finally, regularized strain-softening models are used in finite element reliability analyses to quantify the probability of the emergence of various possible failure modes.

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Modeling of crazing using a cohesive surface methodology

Cited by 119 publications

References 26 publications

Modeling of the competition between shear yielding and crazing in glassy polymers

Modeling of the competition between shear yielding and crazing in glassy polymers

A cell model study of crazing and matrix plasticity in rubber-toughened glassy polymers

Cohesive‐zone models, higher‐order continuum theories and reliability methods for computational failure analysis

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