Statistical Physics of Fracture, Breakdown, and Earthquake: Effects of Disorder and Heterogeneity (Statistical Physics of Fracture and Breakdown)

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 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. Annotation 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 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 Content: Mechanical and Fracture Properties of Solids -- Crystal Defects and Disorder in Lattice Models -- Nucleation and Extreme Statistics in Brittle Fracture -- Roughness of Fracture Surfaces -- Avalanche Dynamics in Fracture -- Subcritical Failure of Heterogeneous Materials -- Dynamics of Fracture Front -- Dislocation Dynamics and Ductile Fracture -- Electrical Breakdown Analogy of Fracture -- Earthquake as Failure Dynamics -- Overview and Outlook -- A Percolation -- B Real-space RG for Rigidity Percolation -- C Fiber Bundle Model -- D Quantum Breakdown -- E Fractals -- F Two-fractal Overlap Model -- G Microscopic Theories of Friction.