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Journal Article

Modes of failure in disordered solids


Biswas,  Soumyajyoti
Group Pattern formation in the geosciences, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Roy, S., Biswas, S., & Ray, P. (2017). Modes of failure in disordered solids. Physical Review E, 96(6): 063003. doi:10.1103/PhysRevE.96.063003.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-A46F-A
The two principal ingredients determining the failure modes of disordered solids are the strength 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 natures of the failure modes. In this study, using the random fiber bundle model as a prototype for disordered solids, we classify all 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. As the fiber bundle model is a long-standing model for interpreting various features of stressed disordered solids, the general phase diagram can serve as a guiding principle in anticipating the responses of disordered solids in general.