Abstract
We review briefly three kinds of breakdown phenomena occurring in disordered (in particular, percolating) solids; namely the Griffith fracture (mechanical breakdown) of percolating solids, Peierls' instability (thermal breakdown or ‘melting’) of percolating solids, and Zener breakdown in Anderson insulators (dielectric breakdown in quantum percolation). The theoretical results for the fracture exponents and of the fracture strength distribution, are compared with those available from experiments and from simulations. In absence of comparable simulations and experiments, the breakdown behaviour and instabilities in other cases remain speculative.
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Chakrabarti, B.K. (1994). Fracture and other breakdown phenomena in disordered solids. In: Bardhan, K.K., Chakrabarti, B.K., Hansen, A. (eds) Non-Linearity and Breakdown in Soft Condensed Matter. Lecture Notes in Physics, vol 437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58652-0_36
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DOI: https://doi.org/10.1007/3-540-58652-0_36
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