Biswas S., Ray P., Chakrabarti B.K. Statistical Physics of Fracture, Breakdown and Earthquake: Effects of Disorder and Heterogeneity

Wiley-VCH Verlag GmbH & Co., Germany, 2015. — 347 p. — ISBN: 3527412190In 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.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
Appendices
Percolation
Real-space RG for Rigidity Percolation
Fiber Bundle Model
Quantum Breakdown
Fractals
Microscopic Theories of Friction