Modes of failures in disordered solids

Abstract

The two principal ingredients determining the failure modes of disordered solids are the level of heterogeneity and the length scale of the region affected in the solid following a local failure. While the latter facilitates damage nucleation, the former leads to diffused damage, the two extreme failure modes. In this study, using the random fiber bundle model as a prototype for disorder solids, we classify every failure modes that are the results of interplay between these two effects. We obtain scaling criteria for the different modes and propose a general phase diagram that provides a framework for understanding previous theoretical and experimental attempts of interpolation between these modes.

10 pages, 13 figures

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Cited by in corpus (21)

• Rigidity-Controlled Crossover: From Spinodal to Critical Failure
• Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness
• Microscopic insights into the failure of elastic double networks
• Prediction of imminent failure using supervised learning in fiber bundle model
• Size distribution of emitted energies in local load sharing fiber bundles
• System-size-dependent avalanche statistics in the limit of high disorder
• Scaling laws of failure dynamics on complex networks
• Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
• Failure time in heterogeneous systems
• Brittle to quasibrittle transition in a compound fiber bundle
• Correlation between avalanches and emitted energies during fracture with variable stress release range
• Inequality of avalanche sizes in models of fracture
• Size scaling of failure strength at high disorder
• Fiber bundle model under heterogeneous loading
• Failure process of fiber bundles with random misalignment
• From nucleation to percolation: the effect of system size when disorder and stress localization compete
• From nucleation to percolation: the effect of system size and system disorder
• Effect of localized loading on failure threshold of fiber bundles
• Modeling crack propagation in heterogeneous materials: Griffith's law, intrinsic crack resistance and avalanches
• Stability in fiber bundle model : Existence of strong links and the effect of disorder
• Impact induced transition from damage to perforation