Statistical Physics of Fracture and Breakdown in Disordered Systems

Statistical Physics of Fracture and Breakdown in Disordered Systems
Author: Bikas K. Chakrabarti
Publisher: Oxford University Press
Total Pages: 184
Release: 1997
Genre: Language Arts & Disciplines
ISBN: 9780198520566

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

Statistical Physics of Fracture, Breakdown, and Earthquake
Author: Soumyajyoti Biswas
Publisher: John Wiley & Sons
Total Pages: 344
Release: 2015-05-04
Genre: Science
ISBN: 3527672672

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.

The Fiber Bundle

The Fiber Bundle
Author: Ferenc Kun
Publisher: Frontiers Media SA
Total Pages: 150
Release: 2022-01-10
Genre: Science
ISBN: 2889740110

Statistical Models for the Fracture of Disordered Media

Statistical Models for the Fracture of Disordered Media
Author: H.J. Herrmann
Publisher: Elsevier
Total Pages: 368
Release: 2014-06-28
Genre: Technology & Engineering
ISBN: 1483296121

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.

Earthquakes: Simulations, Sources and Tsunamis

Earthquakes: Simulations, Sources and Tsunamis
Author: Kristy F. Tiampo
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2008-11-04
Genre: Science
ISBN: 3764387572

This volume attempts to present the current state of seismic research by focusing not only on the modeling of earthquakes and earthquake generated tsunamis, but also on practical comparisons of the resulting phenomenology. In the 1990s, major advancements in seismic research greatly added to the understanding of earthquake fault systems as complex dynamical systems. Large quantities of new and extensive remote sensing data sets provided information on the solid earth.

Modelling Critical and Catastrophic Phenomena in Geoscience

Modelling Critical and Catastrophic Phenomena in Geoscience
Author: Pratip Bhattacharyya
Publisher: Springer Science & Business Media
Total Pages: 531
Release: 2006-09-07
Genre: Science
ISBN: 3540353739

This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes. It assumes the perspective of statistical physics, which provides the theoretical frame for dealing with complex systems in general. This volume addresses graduate students wishing to specialize in the field and researchers working or interested in the field having a background in the physics, geosciences or applied mathematics.

Physics of Stochastic Processes

Physics of Stochastic Processes
Author: Reinhard Mahnke
Publisher: John Wiley & Sons
Total Pages: 447
Release: 2009-08-04
Genre: Science
ISBN: 3527626107

Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on www.wiley-vch.de

Complexity of Seismic Time Series

Complexity of Seismic Time Series
Author: Tamaz Chelidze
Publisher: Elsevier
Total Pages: 548
Release: 2018-05-21
Genre: Science
ISBN: 012813139X

Complexity of Seismic Time Series: Measurement and Application applies the tools of nonlinear dynamics to seismic analysis, allowing for the revelation of new details in micro-seismicity, new perspectives in seismic noise, and new tools for prediction of seismic events. The book summarizes both advances and applications in the field, thus meeting the needs of both fundamental and practical seismology. Merging the needs of the classical field and the very modern terms of complexity science, this book covers theory and its application to advanced nonlinear time series tools to investigate Earth's vibrations, making it a valuable tool for seismologists, hazard managers and engineers. - Covers the topic of Earth's vibrations involving many different aspects of theoretical and observational seismology - Identifies applications of advanced nonlinear time series tools for the characterization of these Earth's signals - Merges the needs of geophysics with the applications of complexity theory - Describes different methodologies to analyze problems, not only in the context of geosciences, but also those associated with different complex systems across disciplines

The Physics of Complex Systems (New Advances and Perspectives)

The Physics of Complex Systems (New Advances and Perspectives)
Author: F. Mallamace
Publisher: IOS Press
Total Pages: 638
Release: 2004-11-24
Genre: Science
ISBN: 1614990115

It is widely known that complex systems and complex materials comprise a major interdisciplinary scientific field that draws on mathematics, physics, chemistry, biology, and medicine as well as such social sciences as economics. The role of statistical physics in this new field has been expanding. Statistical physics has shown how phenomena and processes in different research areas that have long been assumed to be unrelated can have a common description. Through the application of statistical physics, methods developed for studying order phenomena in simple systems and processes have been generalized to more complex systems. The two conceptual pillars in this approach are scaling and universality. This volume focuses on recent advances and perspectives in the physics of complex systems and provides both an overview of the field and a more detailed examination of the new ideas and unsolved problems that are currently attracting the attention of researchers. This book should be a useful reference work for anyone interested in this area, whether beginning graduate student or advanced research professional. It provides up-to-date reviews on cutting-edge topics compiled by leading authorities and is designed to both broaden the reader’s competence within their own field and encourage the exploration of new problems in related fields.