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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 dynamicsWith 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.

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

PrefaceINTRODUCTIONMECHANICAL AND FRACTURE PROPERTIES OF SOLIDSMechanical Response in MaterialsDuctile, Quasi-Brittle and Brittle MaterialsDuctile and Brittle FractureCRYSTAL DEFECTS AND DISORDER IN LATTICE MODELSPoint DefectsLine DefectsPlanar DefectsLattice Defects: Percolation TheorySummaryNUCLEATION AND EXTREME STATISTICS IN BRITTLE FRACTUREStress Concentration Around DefectStrength of Brittle Solids: Extreme StatisticsExtreme Statistics in Fibre Bundle Models of Brittle FractureExtreme Statistitcs in Percolating Lattice Model of Brittle FractureMolecular Dynamics Simulation of Brittle FractureSummaryROUGHNESS OF FRACTURE SURFACESRoughness Properties in FractureMolecular Dynamics Simulation of Fractured SurfaceSummaryAVALANCHE DYNAMICS IN FRACTUREProbing Failure with Acoustic EmissionsDynamics of Fiber Bundle ModelInterpolations of Global and Local Load Sharing Fiber Bundle ModelsRandom Threshold Spring ModelSummarySUBCRITICAL FAILURE OF HETEROGENEOUS MATERIALSTime of Failure Due to CreepDynamics of Strain RateSummaryDYNAMICS OF FRACTURE FRONTDriven Fluctuating LineFracture Front Propagation in Fiber Bundle ModelsHydraulic FractureSummaryDISLOCATION DYNAMICS AND DUCTILE FRACTURENon-Linearity in MaterialsDeformation by SlipSlip by Dislocation MotionPlastic Strain due to Dislocation MotionWhen Does a Dislocation Move?Ductile-Brittle TransitionTheoretical Work on Ductile-Brittle TransitionELECTRICAL BREAKDOWN ANALOGY OF FRACTUREDisordered Fuse NetworkNumerical Simulations of Random Fuse NetworkDielectric Breakdown ProblemSummaryEARTHQUAKE AS FAILURE DYNAMICSEarthquake Statistics: Empirical LawsSpring-Block Models of EarthquakesCellular Automata Models of EarthquakesEquivalence of Interface and Train ModelsSummaryOVERVIEW AND OUTLOOKAPPENDIXPercolationReal Space RG for Rigidity PercolationFiber Bundle ModelQuantum BreakdownFractalsTwo Fractal Overlap ModelMicroscopic Theories of Friction