Statistical Physics Of Fracture And Breakdown In Disordered Systems
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Statistical Physics Of Fracture And Breakdown In Disordered Systems
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Author : Bikas K. Chakrabarti
language : en
Publisher: Oxford University Press
Release Date : 1997
Statistical Physics Of Fracture And Breakdown In Disordered Systems written by Bikas K. Chakrabarti and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Language Arts & Disciplines categories.
Under extreme conditions the mechanical or electrical properties of solids tend to destabilize, leading to failure or breakdown. These instabilities often nucleate or spread from disorders in the structure of the solid. This book by two experts in the field investigates current techniques for modeling these failure and breakdown processes. It illustrates the basic modeling principles through a series of computer and laboratory simulations and `table top' experiments. The book centers on three important case studies: electrical failures like fuse and dielectric breakdown; mechanical fractures; and earthquakes, which exhibit dynamic failure. The material will interest all graduate students and researchers studying disordered systems, whether their focus is the mechanical failure of solids, the electrical breakdown of conductors, or earthquake mechanics.
Statistical Physics Of Fracture Breakdown And Earthquake
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Author : Soumyajyoti Biswas
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-06
Statistical Physics Of Fracture Breakdown And Earthquake written by Soumyajyoti Biswas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-06 with Science categories.
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.
Statistical Models For The Fracture Of Disordered Media
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Author : H.J. Herrmann
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Statistical Models For The Fracture Of Disordered Media written by H.J. Herrmann and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Technology & Engineering categories.
Since the beginning of the century the technological desire to master the fracture of metals, concrete or polymers has boosted research and has left behind an overwhelming amount of literature. In a field where it seems difficult to say anything simple and new, the editors and authors of this book have managed to do just that.The approach to fracture taken here was not conceived by mechanical engineers or material scientists. It is essentially the by-product of exciting developments that have occurred in the last ten to fifteen years within a branch of theoretical physics, called statistical physics. Concepts such as ``percolation'' and ``fractals'', as models for the properties of fracture are not often considered by engineers. A particular aim of this volume is to emphasize the fundamental role disorder plays in the breaking process.The main scope of the volume is pedagogical and is at the same time an overview of fracture mechanics for physicists and an introduction to new concepts of statistical physics for mechanics and engineers. To this end the first half of the book consists of introductory chapters and the second half contains the results that have emerged from this new approach.
Topics In Disordered Systems
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Author : Charles M. Newman
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Topics In Disordered Systems written by Charles M. Newman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)
Statistical Physics Of Fracture Breakdown And Earthquake
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Author : Soumyajyoti Biswas
language : en
Publisher: John Wiley & Sons
Release Date : 2015-08-10
Statistical Physics Of Fracture Breakdown And Earthquake written by Soumyajyoti Biswas and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-10 with Science categories.
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.
From Phase Transitions To Chaos
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Author : Gza Gyrgyi
language : en
Publisher: World Scientific
Release Date : 1992
From Phase Transitions To Chaos written by Gza Gyrgyi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to Pter Szpfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, random field systems, growth processes, and neural network. Statistical properties of interacting electron gases, such as the Kondo lattice, the Wigner crystal, and the Hubbard model, are treated. In the field of chaos, Hamiltonian transport and resonances, strange attractors, multifractal characteristics of chaos, and the effect of weak perturbations are discussed. A separate section is devoted to selected mathematical aspects of dynamical systems like the foundation of statistical mechanics, including the problem of ergodicity, and rigorous results on quantum chaos.
Statistical Physics Of Non Thermal Phase Transitions
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Author : Sergey G. Abaimov
language : en
Publisher: Springer
Release Date : 2015-05-18
Statistical Physics Of Non Thermal Phase Transitions written by Sergey G. Abaimov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-18 with Science categories.
This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.
Disorder And Fracture
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Author : J. C. Charmet
language : en
Publisher:
Release Date : 2014-01-15
Disorder And Fracture written by J. C. Charmet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Introduction To The Replica Theory Of Disordered Statistical Systems
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Author : Viktor Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2005-10-13
Introduction To The Replica Theory Of Disordered Statistical Systems written by Viktor Dotsenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-13 with Science categories.
This text describes the statistical mechanics of classical spin systems with quenched disorder. The first part covers the physics of spin-glass states using results obtained within the framework of the mean field theory of spin glasses. The second part is devoted to the theory of critical phenomena in the presence of weak quenched disorder. This includes a systematic derivation of the traditional renormalization group theory. In the third part Dotsenko describes other types of disordered systems, relating them to new results at the frontiers of modern research. The book is suitable for graduate students and researchers in the field of statistical mechanics of disordered systems.
Advances In Disordered Systems Random Processes And Some Applications
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Author : Pierluigi Contucci
language : en
Publisher: Cambridge University Press
Release Date : 2016-12-15
Advances In Disordered Systems Random Processes And Some Applications written by Pierluigi Contucci and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Science categories.
This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.