A unified potential-based cohesive model of mixed-mode fracture

Park, Kyoungsoo; Paulino, Gláucio H.; Roesler, Jeffery R.

doi:10.1016/j.jmps.2008.10.003

Cited by 392 publications

(266 citation statements)

References 40 publications

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“…The third case study highlights the sensitivity of CZMs to traction controlled mode mixity. Previous papers have typically used double cantilever beam data with uneven bending moment to validate cohesive zone performance under mode I and mixed-mode conditions (Sørensen and Jacobsen, 2003;van den Bosch et al, 2006;Park et al, 2009;Mosler and Scheider, 2011). The three case studies presented in this paper provide further challenges in the assessment of mixed-mode cohesive zone performance and should be considered in addition to double cantilever beam simulation.…”

Section: Discussionmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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a b s t r a c tThis paper, the second of two parts, presents three novel finite element case studies to demonstrate the importance of normal-tangential coupling in cohesive zone models (CZMs) for the prediction of mixed-mode interface debonding. Specifically, four new CZMs proposed in Part I of this study are implemented, namely the potential-based MP model and the non-potential-based NP1, NP2 and SMC models. For comparison, simulations are also performed for the well established potential-based Xu-Needleman (XN) model and the non-potential-based model of van den Bosch, Schreurs and Geers (BSG model). Case study 1: Debonding and rebonding of a biological cell from a cyclically deforming silicone substrate is simulated when the mode II work of separation is higher than the mode I work of separation at the cell-substrate interface. An active formulation for the contractility and remodelling of the cell cytoskeleton is implemented. It is demonstrated that when the XN potential function is used at the cell-substrate interface repulsive normal tractions are computed, preventing rebonding of significant regions of the cell to the substrate. In contrast, the proposed MP potential function at the cell-substrate interface results in negligible repulsive normal tractions, allowing for the prediction of experimentally observed patterns of cell cytoskeletal remodelling. Case study 2: Buckling of a coating from the compressive surface of a stent is simulated. It is demonstrated that during expansion of the stent the coating is initially compressed into the stent surface, while simultaneously undergoing tangential (shear) tractions at the coating-stent interface. It is demonstrated that when either the proposed NP1 or NP2 model is implemented at the stent-coating interface mixed-mode over-closure is correctly penalised. Further expansion of the stent results in the prediction of significant buckling of the coating from the stent surface, as observed experimentally. In contrast, the BSG model does not correctly penalise mixed-mode over-closure at the stent-coating interface, significantly altering the stress state in the coating and preventing the prediction of buckling. Case study 3: Application of a displacement to the base of a bi-layered composite arch results in a symmetric sinusoidal distribution of normal and tangential traction at the arch interface. The traction defined mode mixity at the interface ranges from pure mode II at the base of the arch to pure mode I at the top of the arch. It is demonstrated that predicted debonding patterns are highly sensitive to normal-tangential coupling terms in a CZM. The NP2, XN, and BSG models exhibit a strong bias towards mode I separation at the top of the arch, while the NP1 model exhibits a bias towards mode II debonding at the base of the arch. Only the SMC model provides mode-independent behaviour in the early stages of debonding. This case study provides a practical example of the importance of the behaviour of CZMs under conditions of traction controlled mode mixity, foll...

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Section: Discussionmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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“…[20] and [21]. A review of these approaches can be found in [22]. However, as shown in [23] the existence of a potential is only a necessary condition for thermodynamical consistency.…”

Section: Constitutive Assumptions -Cohesive Zone Modelsmentioning

confidence: 99%

Size effects in short fibre reinforced composites

Scheider

Chen

Hinz

et al. 2013

Engineering Fracture Mechanics

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The present paper is concerned with the analysis of size effects in short fibre reinforced composites. The microstructure of such composites often represents the first hierarchy level of a bioinspired material. For modelling fibre cracking as well as debonding between fibre and matrix material, a fully three-dimensional cohesive zone model is applied. It is shown that this model indeed captures the size effect associated with material failure of a single fibre. Furthermore, this scaling effect strongly depends on the shape and orientation of the assumed preexisting crack. For this reason, a two-dimensional description can usually only predict the size effect qualitatively. Based on the aforementioned findings, a representative volume element (RVE) containing ceramic fibres embedded within a polymer matrix is considered. Similar to the single fibre, the RVE also shows a pronounced size effect. However, the underlying physical process is significantly more complex. More explicitly, the size effect of the RVE is a superposition of that related to the isolated fibres as well as of that induced by debonding of the fibres from the matrix material. For estimating the different effects, a perfect bond is also modelled.

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“…Additionally, Paulino and his co-workers have conducted significant research on CZM techniques by developing new cohesive laws and by studying the effectiveness of the most common ones that are used for simulating the behavior of adhesive joints under various types of loading and fracture conditions [38,39,40]. More specifically, in [39,40] the authors have conducted a comparative numerical-experimental study, in order to show the influence of the shape of three intrinsic cohesive laws (triangular, trapezoidal and exponential) to the Mode I fracture of pre-cracked adhesively bonded Double Cantilever Beam specimens.…”

Section: Introductionmentioning

confidence: 99%