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 …
transitions signaled by the emergence of a giant connected component. Despite its very …
From damage percolation to crack nucleation through finite size criticality
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 …
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
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 …
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 …
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 …
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
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 …
described in terms of the Weibull distribution. However, the weakest-link hypothesis …
Inequality of avalanche sizes in models of fracture
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 …
importance—from the laboratory scale controlled fracture experiment to the largest scale of …
Modes of failure in disordered solids
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 …
strength of heterogeneity and the length scale of the region affected in the solid following a …
Rigidity-controlled crossover: From spinodal to critical failure
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 …
broad range of scales. The implied scaling has been previously associated with either …
From microstructural features to effective toughness in disordered brittle solids
The relevant parameters at the microstructure scale that govern the macroscopic toughness
of disordered brittle materials are investigated theoretically. We focus on a crack …
of disordered brittle materials are investigated theoretically. We focus on a crack …