A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials

Zhou, Fenghua; Molinari, Jean‐François; Shioya, Tadashi

doi:10.1016/j.engfracmech.2004.10.011

Cited by 187 publications

(133 citation statements)

References 43 publications

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“…The experimental results obtained for the fracture energy with respect to the average crack speed can be accurately modelled by the empirical correlation reported by the Zhou et al [13] extended to our range of speeds and using a proposed modification to consider notched instead of cracked specimens.…”

Section: Summary and Concluding Remarksmentioning

confidence: 68%

“…where the constants G 0 and v L take the following values: To explain this discrepancy it is necessary to note that a radiused notch is considered in the results shown here, rather than a sharp crack [13]. To account for the latter, instead of the fracture toughness we should consider the apparent toughness, K Q , obtained by testing a specimen with the same dimensions used to measure K IC but with a notch instead of a crack.…”

Section: Resultsmentioning

confidence: 99%

“…These results do not show a clear effect of test velocity on the average speed of the crack propagation. Zhou et al [13] have proposed an empirical relation to correlate these two variables in the range of speeds between 100 m/s and 650 m/s, given by:…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand, Zhou et al [13] have also conducted tests on rectangular PMMA plates of 3 mm thickness. The plates were pre stressed to a certain constant load when a small crack was induced in the middle of the plate, the speed of which was measured by bands being crossed during the propagation process.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Crack-front propagation during three-point-bending tests of polymethyl-methacrylate beams

Loya¹,

Villa²,

Fernández-Sáez³

2010

Polymer Testing

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a b s t r a c tCrack front evolution in polymethyl methacrylate (PMMA) beams was measured during quasi static three point bending tests performed on a universal testing machine. A high speed camera was used to record the crack front propagation process through the specimen thickness and to determine the instantaneous crack length during the test, considering the effect of different initial notch lengths and loading point displacement rates. The average steady crack propagation speed was also calculated and correlated with the stored elastic energy, and these results have been compared with those reported by other authors for different test conditions. This experimental technique appears to be suitable to determine the influence of the test conditions on the crack propagation speed of PMMA specimens.

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Section: Summary and Concluding Remarksmentioning

confidence: 68%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Crack-front propagation during three-point-bending tests of polymethyl-methacrylate beams

Loya¹,

Villa²,

Fernández-Sáez³

2010

Polymer Testing

View full text Add to dashboard Cite

show abstract

“…We refer among others to Dally (1979), Ravi-Chandar and Knauss (1984a,b), Knauss and Ravi-Chandar (1985), Ramulu and Kobayashi (1985), Fineberg et al (1991), Satoh (1996), Fineberg (1996, 1999), Fineberg and Marder (1999), and references therein, for a discussion of some experimental observations. Numerical simulations of the problem have been reported in Falk et al (2001), Klein et al (2001), Belytschko et al (2003), Zhou and Molinari (2004), Zhou et al (2005), Huespe et al (2006), Song et al (2006), Duarte et al (2007), Karedla and Reddy (2007), Remmers et al (2008), Zhang et al (2007), Zi et al (2007), to mention just a few references employing a variety of different numerical approaches.…”

Section: Crack Branching In Brittle Materialsmentioning

confidence: 99%

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

2009

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This paper presents the extension of some finite elements with embedded strong discontinuities to the fully transient range with the focus on dynamic fracture. Cracks and shear bands are modeled in this setting as discontinuities of the displacement field, the so-called strong discontinuities, propagating through the continuum. These discontinuities are embedded into the finite elements through the proper enhancement of the discrete strain field of the element. General elements, like displacement or assumed strain based elements, can be considered in this framework, capturing sharply the kinematics of the discontinuity for all these cases. The local character of the enhancement (local in the sense of defined at the element level, independently for each element) allows the static condensation of the different local parameters considered in the definition of the displacement jumps. All these features lead to an efficient formulation for the modeling of fracture in solids, very easily incorporated in an existing general finite element code due to its modularity. We investigate in this paper the use of this finite element formulation for the special challenges that the dynamic range leads to. Specifically, we consider the modeling of failure mode transitions in ductile materials and crack branching in brittle solids. To illustrate the performance of the proposed formulation, we present a series of numerical simulations of these cases with detailed comparisons with experimental and other numerical results reported in the literature. We conclude that these finite element methods handle well these dynamic problems, still maintaining the aforementioned features of computational efficiency and modularity.

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Bibliography

2013

Extended Finite Element Method for Crack Propagation

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A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials

Cited by 187 publications

References 43 publications

Crack-front propagation during three-point-bending tests of polymethyl-methacrylate beams

Crack-front propagation during three-point-bending tests of polymethyl-methacrylate beams

Numerical simulation of dynamic fracture using finite elements with embedded discontinuities

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