Statistical Physics Of Fracture And Breakdown In Disordered Systems
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Statistical Physics of Fracture and Breakdown in Disordered Systems
Author: Bikas K. Chakrabarti
language: en
Publisher: Oxford University Press
Release Date: 1997
Under extreme conditions the mechanical or electrical properties of solids tend to be destabilized and failure or breakdown occurs. In practice these instabilities in the solid often nucleate or spread from disorders in the structure of the solid. This book investigates the modelling of such failure and breakdown processes. The basic principles are illuminated with a large number of computer simulations and laboratory simulations or `table top' experiments. Three particular case studies of failure are presented: electrical failures like fuse and dielectric breakdown; mechanical fracture; and earthquakes as an example of dynamic failure.
Statistical Physics of Fracture, Breakdown, and Earthquake
Author: Soumyajyoti Biswas
language: en
Publisher: John Wiley & Sons
Release Date: 2015-08-10
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.
Scaling and Disordered Systems
Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems. This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.