Strain-Softening Simulations of Mixed-Mode Concrete Fracture

Rots, J.G.; Kusters, G. M. A.; Blaauwendraad, Johan

doi:10.1007/978-1-4612-3578-1_18

Cited by 41 publications

(58 citation statements)

References 8 publications

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“…A linear model gives much more accurate predictions. This agrees with the findings of both Chandra [37] and Rots [38] who found in studies on concrete that if the damage stems from processes such as microcracking, as is the case with ceramics, rather than plasticity, as with metals, a linear or bilinear cohesive zone law is better suited to predicting damage than a Dugdale model. PCBN B is a much less tough material than PCBN A and has a smaller critical distance, limited by the CBN grain size.…”

Section: Effect Of Czm Shapesupporting

confidence: 91%

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A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

Carolan

Ivanković

2013

Engineering Fracture Mechanics

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Numerical modelling of a series of experimental Single Edge V-Notched Beam tests was carried out for a number of grades of polycrystalline cubic boron nitride using the finite volume method (FV) and cohesive zone model approach.The effect of notch root radius observed experimentally was reproduced numerically via a unique CZM for each material examined. It was also found that the shape of the cohesive zone model can be significant, especially when the material has a relatively high fracture energy. It was also demonstrated that the experimentally observed drop in fracture toughness with increase in test rate was not explainable in terms of the system dynamics. It was found that in order to predict the experimental fracture loads for a range of loading rates, it was necessary to modify the CZM in such a way as to preserve the micro-structural length scale information of the material embedded within the CZM.

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Section: Effect Of Czm Shapesupporting

confidence: 91%

“…The effect of CZM shape has been reported to have an influence on the predicted failure of brittle materials as discussed by Chandra [37], Rots [38]. It can be seen in Figure 12 that the shape of the CZM model has no effect on the failure load for the sharp initial notch with NRR = 10 µm.…”

Section: Effect Of Czm Shapementioning

confidence: 88%

A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

Carolan

Ivanković

2013

Engineering Fracture Mechanics

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“…For more brittle decohesion relations, i.e. when the decohesion law stems from micro-cracking as in concrete or ceramics, the shape of the stress-separation relation plays a much larger role and is sometimes even more important than the value of the tensile strength f t [23]. When fracture takes place along well-defined interfaces as, for example, in a lamellar solid [24], the placement of cohesive surfaces is clear.…”

Section: Cohesive-surface Modelsmentioning

confidence: 97%

Discrete vs smeared crack models for concrete fracture: bridging the gap

Borst

Remmers

Needleman

et al. 2004

Num Anal Meth Geomechanics

197

109

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SUMMARYDiscrete and smeared crack models for concrete fracture are discussed in a historical perspective. It is argued that these two computational approaches, originally conceived as very different, can be brought together by exploiting the partition-of-unity property of finite element shape functions. The cohesive segments method, which exploits this partition-of-unity property, exhibits advantages of both the discrete and smeared crack approaches, and is capable of describing the transition from distributed micro-cracking to a dominant crack. The versatility of the cohesive methodology is shown by incorporating water diffusion and ion transport into the formulation.

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“…For more brittle decohesion relations, as shown for instance in the right part of Figure 2 (i.e. when the decohesion law stems from micro-cracking as in concrete or ceramics), the shape of the stress-separation relation plays a much bigger role and is sometimes even more important than the value of the tensile strength f t [9,10]. …”

Section: Formulationmentioning

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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Strain-Softening Simulations of Mixed-Mode Concrete Fracture

Cited by 41 publications

References 8 publications

A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

Discrete vs smeared crack models for concrete fracture: bridging the gap

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

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