Discrete interaction of a plate and a rod

We review some theoretical and experimental works describing the slow, thermally activated, growth of a crack in a solid material under stress. Theoretical approaches fall into two main classes: creep crack growth models and elastic trap models. On one hand, creep crack growth models describe the viscoplastic flow of matter until some characteristic rupture strain is reached. This first category of models applies especially to the case of polymer rupture. On the other hand, elastic trap models assume that a rupture energy barrier is overcome by elastic stress fluctuations. While this second category of models is more restricted since it applies only to materials with brittle rupture features, it offers a framework that can be interestingly and importantly extended to the case of heterogeneous materials. Models will be discussed in the light of recent experimental works.

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Time-dependent rupture and slow crack growth: elastic and viscoplastic dynamics

Vanel

Ciliberto

Cortet

et al. 2009

J. Phys. D: Appl. Phys.

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Attractive and repulsive cracks in a heterogeneous material

et al. 2008

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Résumé. We study experimentally the paths of an assembly of cracks growing in interaction in a heterogeneous two-dimensional elastic brittle material submitted to uniaxial stress. For a given initial crack assembly geometry, we observe two types of crack path. The first one corresponds to a repulsion followed by an attraction on one end of the crack and a tip to tip attraction on the other end. The second one corresponds to a pure attraction. Only one of the crack path type is observed in a given sample. Thus, selection between the two types appears as a statistical collective process.

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Dynamical Law for Slow Crack Growth in Polycarbonate Films

2007

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We study experimentally the slow growth of a single crack in polycarbonate films submitted to uniaxial and constant imposed stress. For this visco-plastic material, we uncover a dynamical law that describes the dependence of the instantaneous crack velocity with experimental parameters. The law involves a Dugdale-Barenblatt static description of crack tip plastic zones associated to an Eyring's law and an empirical dependence with the crack length that may come from a residual elastic field.

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Discrete interaction of a plate and a rod

Cited by 5 publications

References 1 publication

Time-dependent rupture and slow crack growth: elastic and viscoplastic dynamics

Time-dependent rupture and slow crack growth: elastic and viscoplastic dynamics

Attractive and repulsive cracks in a heterogeneous material

Dynamical Law for Slow Crack Growth in Polycarbonate Films

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