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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…mehr
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.
Purusattam Ray is professor in Physics at The Institute of Mathematical Sciences (IMSC), Chennai and an adjunct professor of Homi Bhabha National Institute (HBNI), Mumbai. He received his Ph.D. from Calcutta University in 1989. He was then SERC research fellow at the University of Manchester, England and subsequently Max Planck fellow at the MPI for Polymer Studies in Mainz and at the University of Mainz, Germany. He has made major contributions in the study of statistical physics of fracture. He annually organizes the International workshop on fracture and breakdown processes. Bikas K. Chakrabarti is a senior professor of theoretical condensed matter physics at the Saha Institute of Nuclear Physics (SINP), Kolkata, and a visiting professor of economics at the Indian Statistical Institute, Kolkata, India. He received his doctorate in physics from Calcutta University in 1979 (for research at SINP). Following postdoctoral positions at Oxford University and Cologne University, he joined SINP in 1983. His main research interests include physics of fracture, quantum glasses, etc., and the interdisciplinary sciences of optimization, brain modeling, and econophysics. He has written several books and reviews on these topics. Soumyajyoti Biswas finished his master degree in Physics from Calcutta University in 2008. Since then he is a research fellow at Saha Institute of Nuclear Physics.
Inhaltsangabe
Preface INTRODUCTION MECHANICAL AND FRACTURE PROPERTIES OF SOLIDS Mechanical Response in Materials Ductile, Quasi-Brittle and Brittle Materials Ductile and Brittle Fracture CRYSTAL DEFECTS AND DISORDER IN LATTICE MODELS Point Defects Line Defects Planar Defects Lattice Defects: Percolation Theory Summary NUCLEATION AND EXTREME STATISTICS IN BRITTLE FRACTURE Stress Concentration Around Defect Strength of Brittle Solids: Extreme Statistics Extreme Statistics in Fibre Bundle Models of Brittle Fracture Extreme Statistitcs in Percolating Lattice Model of Brittle Fracture Molecular Dynamics Simulation of Brittle Fracture Summary ROUGHNESS OF FRACTURE SURFACES Roughness Properties in Fracture Molecular Dynamics Simulation of Fractured Surface Summary AVALANCHE DYNAMICS IN FRACTURE Probing Failure with Acoustic Emissions Dynamics of Fiber Bundle Model Interpolations of Global and Local Load Sharing Fiber Bundle Models Random Threshold Spring Model Summary SUBCRITICAL FAILURE OF HETEROGENEOUS MATERIALS Time of Failure Due to Creep Dynamics of Strain Rate Summary DYNAMICS OF FRACTURE FRONT Driven Fluctuating Line Fracture Front Propagation in Fiber Bundle Models Hydraulic Fracture Summary DISLOCATION DYNAMICS AND DUCTILE FRACTURE Non-Linearity in Materials Deformation by Slip Slip by Dislocation Motion Plastic Strain due to Dislocation Motion When Does a Dislocation Move? Ductile-Brittle Transition Theoretical Work on Ductile-Brittle Transition ELECTRICAL BREAKDOWN ANALOGY OF FRACTURE Disordered Fuse Network Numerical Simulations of Random Fuse Network Dielectric Breakdown Problem Summary EARTHQUAKE AS FAILURE DYNAMICS Earthquake Statistics: Empirical Laws Spring-Block Models of Earthquakes Cellular Automata Models of Earthquakes Equivalence of Interface and Train Models Summary OVERVIEW AND OUTLOOK APPENDIX Percolation Real Space RG for Rigidity Percolation Fiber Bundle Model Quantum Breakdown Fractals Two Fractal Overlap Model Microscopic Theories of Friction
Preface INTRODUCTION MECHANICAL AND FRACTURE PROPERTIES OF SOLIDS Mechanical Response in Materials Ductile, Quasi-Brittle and Brittle Materials Ductile and Brittle Fracture CRYSTAL DEFECTS AND DISORDER IN LATTICE MODELS Point Defects Line Defects Planar Defects Lattice Defects: Percolation Theory Summary NUCLEATION AND EXTREME STATISTICS IN BRITTLE FRACTURE Stress Concentration Around Defect Strength of Brittle Solids: Extreme Statistics Extreme Statistics in Fibre Bundle Models of Brittle Fracture Extreme Statistitcs in Percolating Lattice Model of Brittle Fracture Molecular Dynamics Simulation of Brittle Fracture Summary ROUGHNESS OF FRACTURE SURFACES Roughness Properties in Fracture Molecular Dynamics Simulation of Fractured Surface Summary AVALANCHE DYNAMICS IN FRACTURE Probing Failure with Acoustic Emissions Dynamics of Fiber Bundle Model Interpolations of Global and Local Load Sharing Fiber Bundle Models Random Threshold Spring Model Summary SUBCRITICAL FAILURE OF HETEROGENEOUS MATERIALS Time of Failure Due to Creep Dynamics of Strain Rate Summary DYNAMICS OF FRACTURE FRONT Driven Fluctuating Line Fracture Front Propagation in Fiber Bundle Models Hydraulic Fracture Summary DISLOCATION DYNAMICS AND DUCTILE FRACTURE Non-Linearity in Materials Deformation by Slip Slip by Dislocation Motion Plastic Strain due to Dislocation Motion When Does a Dislocation Move? Ductile-Brittle Transition Theoretical Work on Ductile-Brittle Transition ELECTRICAL BREAKDOWN ANALOGY OF FRACTURE Disordered Fuse Network Numerical Simulations of Random Fuse Network Dielectric Breakdown Problem Summary EARTHQUAKE AS FAILURE DYNAMICS Earthquake Statistics: Empirical Laws Spring-Block Models of Earthquakes Cellular Automata Models of Earthquakes Equivalence of Interface and Train Models Summary OVERVIEW AND OUTLOOK APPENDIX Percolation Real Space RG for Rigidity Percolation Fiber Bundle Model Quantum Breakdown Fractals Two Fractal Overlap Model Microscopic Theories of Friction
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