## Statistical Physics of Fracture, Breakdown, and Earthquake: Effects of Disorder and HeterogeneityIn 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 aspects of fracture more accessible. They explain fracture-like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self-organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics. |

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American Physical Society atoms avalanche size distribution avalanche statistics average Biswas and Chakrabarti blocks bond percolation bonds boundary breakdown Cantor set Chakrabarti cluster correlation length crack front crack propagation critical exponents critical point crossover cut-off defects deformation depinning dielectric breakdown dimensions discussed dislocation ductile dynamics earthquakes elastic energy European Physical Journal exponent value failure threshold fiber bundle model Figure finite fluctuation force fractal fraction fracture front fracture surfaces function heterogeneous increased interface KGaA kind permission lattice length scale Lett limit linear load per fiber Måløy materials Omori law parameter percolation percolation theory percolation threshold permission from American Phys Physical Journal EPJ power-law Pradhan random roughness exponent roughness properties rupture sample self-affine self-organized critical shows simulation site percolation slip solid Statistical Physics stress stress–strain studied threshold distribution tion train model transition tricritical point velocity voltage Wiley-VCH Verlag Zapperi 𝛼 𝛽 𝛾 𝜁 𝜎 𝜎f 𝜏