Recent advances in percolation theory and its applications

AA Saberi - Physics Reports, 2015 - Elsevier
Percolation is the simplest fundamental model in statistical mechanics that exhibits phase
transitions signaled by the emergence of a giant connected component. Despite its very …

From damage percolation to crack nucleation through finite size criticality

A Shekhawat, S Zapperi, JP Sethna - Physical review letters, 2013 - APS
We present a unified theory of fracture in disordered brittle media that reconciles apparently
conflicting results reported in the literature. Our renormalization group based approach …

[图书][B] Statistical physics of fracture, breakdown, and earthquake: effects of disorder and heterogeneity

S Biswas, P Ray, BK Chakrabarti - 2015 - books.google.com
In this book, the authors bring together basic ideas from fracture mechanics and statistical
physics, classical theories, simulation and experimental results to make the statistical …

Weak boundary enabled tensile ductility in dealloyed porous Fe alloy

H **e, JC Shao, L Zou, HJ ** - Acta Materialia, 2023 - Elsevier
Dealloying has emerged as a new route to the synthesis of porous or nanoporous materials
for a variety of novel structural/functional applications. However, dealloyed (nano-) porous …

Statistical physics perspective of fracture in brittle and quasi-brittle materials

P Ray - Philosophical Transactions of the Royal Society …, 2019 - royalsocietypublishing.org
We discuss the physics of fracture in terms of the statistical physics associated with the
failure of elastic media under applied stresses in presence of quenched disorder. We show …

Fracture strength: stress concentration, extreme value statistics, and the fate of the Weibull distribution

Z Bertalan, A Shekhawat, JP Sethna, S Zapperi - Physical Review Applied, 2014 - APS
The statistical properties of fracture strength of brittle and quasibrittle materials are often
described in terms of the Weibull distribution. However, the weakest-link hypothesis …

Inequality of avalanche sizes in models of fracture

Diksha, S Kundu, BK Chakrabarti, S Biswas - Physical Review E, 2023 - APS
Prediction of an imminent catastrophic event in a driven disordered system is of paramount
importance—from the laboratory scale controlled fracture experiment to the largest scale of …

Modes of failure in disordered solids

S Roy, S Biswas, P Ray - Physical Review E, 2017 - APS
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 …

Rigidity-controlled crossover: From spinodal to critical failure

H Borja da Rocha, L Truskinovsky - Physical review letters, 2020 - APS
Failure in disordered solids is accompanied by intermittent fluctuations extending over a
broad range of scales. The implied scaling has been previously associated with either …

From microstructural features to effective toughness in disordered brittle solids

V Démery, A Rosso, L Ponson - Europhysics Letters, 2014 - iopscience.iop.org
The relevant parameters at the microstructure scale that govern the macroscopic toughness
of disordered brittle materials are investigated theoretically. We focus on a crack …