Crack-microcrack interactions in dynamical fracture

Bouchbinder, Eran; Kessler, David A.; Procaccia, Itamar

doi:10.1103/physreve.70.046107

Cited by 11 publications

(15 citation statements)

References 22 publications

(26 reference statements)

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“…II is devoted to the presentation of approximate schemes to compute these objects. The main idea is to relate the dynamic stress intensity factors to their static counterpart [9], and then to compute the latter using the method of iterated conformal maps that had been presented for fracture problems in recent papers [10,11]. This material is reviewed in Sect.…”

Section: How Consecutive Bifurcations Come About Andmentioning

confidence: 99%

“…To this aim we invoke the formalism developed in [9], in which the dynamic stress intensity factors were related to their static counterparts. Based on some specific examples an approximate form of the dynamic stress intensity factors was obtained as a product of the static stress intensity factors K …”

Section: A Estimating the Dynamic Stress Intensity Factorsmentioning

confidence: 99%

“…In our earlier work we applied this approximate methodology for describing interacting large and small cracks [9]. The separable form of the dynamic stress intensity factors is trivially correct for very small velocities, since the functions k I and k II tend to unity for v → 0.…”

Section: A Estimating the Dynamic Stress Intensity Factorsmentioning

confidence: 99%

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Branching instabilities in rapid fracture: Dynamics and geometry

2005

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We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on equations of motion for crack tips which depend only on the time dependent stress intensity factors. The latter are obtained by invoking an approximate relation between static and dynamic stress intensity factors, together with an essentially exact calculation of the static ones. The results of this model are in good agreement with a sizeable quantity of experimental data.

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Section: How Consecutive Bifurcations Come About Andmentioning

confidence: 99%

Section: A Estimating the Dynamic Stress Intensity Factorsmentioning

confidence: 99%

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Branching instabilities in rapid fracture: Dynamics and geometry

2005

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“…For symmetric non uniform stress drop: (9) A "semi-dynamic" approximation combines equations (7) and (8) with the assumption K * ≈ K 0 . Although exact only for semi-infinite straight cracks, it has been applied with success to dynamic fracture problems involving branching and crack-microcrack interactions [Bouchbinder et al, 2004;. For our purposes, this approximation encapsulates the main dependency on stress drop heterogeneity, as will be illustrated later by favorable comparisons to fully dynamic 3D simulations.…”

Section: Propagation and Arrest Criteriamentioning

confidence: 99%

Properties of dynamic earthquake ruptures with heterogeneous stress drop

Ampuero

Ripperger

2006

Earthquakes: Radiated Energy and the Physics of Faulting

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Earthquake rupture is a notoriously complex process, at all observable scales. We introduce a simplified semi-dynamic crack model to investigate the connection between the statistical properties of stress and those of macroscopic source parameters such as rupture size, seismic moment, apparent stress drop and radiated energy. Rupture initiation is treated consistently with nucleation on a linear slipweakening fault, whereas rupture propagation and arrest are treated according to the Griffith criterion. The available stress drop is prescribed as a spatially correlated random field and is shown to potentially sustain a broad range of magnitudes. By decreasing the amplitude of the stress heterogeneities or increasing their correlation length the distribution of earthquake sizes presents a transition from GutenbergRichter to characteristic earthquake behavior. This transition is studied through a mean-field analysis. The bifurcation to characteristic earthquake behavior is sharp, reminiscent of a first-order phase transition. A lower roll-off magnitude observed in the Gutenberg-Richter regime is shown to depend on the correlation length of the available stress drop, rather than being a direct signature of the nucleation process. More generally, we highlight the possible role of the stress correlation length scale on deviations from earthquake source self-similarity. The present reduced model is a building block towards understanding the effect of structural and dynamic fault heterogeneities on the scaling of source parameters and on basic properties of seismicity.

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“…As a rule, it is postulated that even the cracks of such a scale can be regarded a priori as conventional stress concentrators (Arias et al, 2003, Bouchbinder at al., 2004, Nasseri at al., 2006; to our best knowledge, the latter postulate was not confirmed experimentally.…”

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confidence: 99%

Delayed Fracturing: Acoustic Emission Analysis of Nucleation and Transformation of an Ensemble of Mesoscopic Cracks in Deforming Heterogeneous Materials

Leksovskii¹

2012

Acoustic Emission

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Acoustic emission is accompanied by many physical processes and phenomena, including discrete structural changes in solids during deformation. Information about these processes is very important for determination of the resource strength and durability of elements of machines and constructions in order to monitor and prevent technogenic catastrophes. Submitted experimental results demonstrate the unique capabilities of acoustic emission method in the analysis of nucleation and transformation of an ensemble of micro and mesocracks. This allows us to formulate adequate, physically based models of the process of material damage in the course of its operation.A lot of conventional engineering materials, such as polymers, metals, composites, as well as coarsely heterogeneous materials (rocks, concrete etc.), response on the applied deformation through the nucleation of microscopic and mesoscopic cracks. Such cracks could appear in a short time after the load application, and so cracked material might work a long time. Under condition of long term operation under loading, these cracks in many cases allow one to use a concept of damaging that is deterioration of physical and mechanical properties. There is very limited information on the nucleation and transformation of the crack ensemble up to now. How far and under which conditions do cracks of micro and mesoscopic size determine altogether the performance of material and the critical state of loaded body? Our study is to elucidate the real properties of both individual mesocracks and the ensemble of such cracks.The cracks of micro and meso scale play, far and away, the role of indicators of local critical state of structure. These defects, which, undoubtedly, accumulate in a solid under the action of mechanical stress, are regarded as damages. A lot of microscopic studies of metals evidence (Botvina, 2008, among many others) that cracks of meso scale are presented in multitude in vicinity of stress concentrators, in localities of heterogeneous development of inelastic deformation. And the ensembles of such cracks, what is their role? The ensemble/cluster of cracks is an entity that gives rise to the probability of the

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Crack-microcrack interactions in dynamical fracture

Cited by 11 publications

References 22 publications

Branching instabilities in rapid fracture: Dynamics and geometry

Branching instabilities in rapid fracture: Dynamics and geometry

Properties of dynamic earthquake ruptures with heterogeneous stress drop

Delayed Fracturing: Acoustic Emission Analysis of Nucleation and Transformation of an Ensemble of Mesoscopic Cracks in Deforming Heterogeneous Materials

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