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Statistical Physics Of Fracture And Breakdown In Disordered Systems
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Book Synopsis Statistical Physics of Fracture and Breakdown in Disordered Systems by : Bikas K. Chakrabarti
Download or read book Statistical Physics of Fracture and Breakdown in Disordered Systems written by Bikas K. Chakrabarti and published by Oxford University Press. This book was released on 1997 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Physics of Fracture, Breakdown, and Earthquake by : Soumyajyoti Biswas
Download or read book Statistical Physics of Fracture, Breakdown, and Earthquake written by Soumyajyoti Biswas and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Models for the Fracture of Disordered Media by : H.J. Herrmann
Download or read book Statistical Models for the Fracture of Disordered Media written by H.J. Herrmann and published by Elsevier. This book was released on 2014-06-28 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Disorder and Fracture by : J.C. Charmet
Download or read book Disorder and Fracture written by J.C. Charmet and published by Springer. This book was released on 1991-01-31 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture, and particularly brittle fracture, is a good example of an instability. For a homogeneous solid, subjected to a uniform stress field, a crack may appear anywhere in the structure once the threshold stress is reached. However, once a crack has been nucleated in some place, further damage in the solid will in most cases propagate from the initial crack, and not somewhere else in the solid. In this sense fracture is an unstable process. This property makes the process extremely sensitive to any heterogeneity present in the medium, which selects the location of the first crack nucleated. In particular, fracture appears to be very sensitive to disorder, which can favor or impede local cracks. Therefore, in most realistic cases, a good description of fracture mechanics should include the effect of disorder. Recently this need has motivated work in this direction starting from the usual description of fracture mechanics. Parallel with this first trend, statistical physics underwent a very important development in the description of disordered systems. In particular, let us mention the emergence of some "new" concepts (such as fractals, scaling laws, finite size effects, and so on) in this field. However, many models considered were rather simple and well adapted to theoretical or numerical introduction into a complex body of problems. An example of this can be found in percolation theory. This area is now rather well understood and accurately described.
Book Synopsis Statistical Physics of Fracture, Breakdown, and Earthquake by : Soumyajyoti Biswas
Download or read book Statistical Physics of Fracture, Breakdown, and Earthquake written by Soumyajyoti Biswas and published by John Wiley & Sons. This book was released on 2015-05-04 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Properties of Fracture in Disordered Systems by : Bingqing Wu
Download or read book Statistical Properties of Fracture in Disordered Systems written by Bingqing Wu and published by . This book was released on 2000 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Disordered Systems by : Charles M. Newman
Download or read book Topics in Disordered Systems written by Charles M. Newman and published by Springer Science & Business Media. This book was released on 1997-09-23 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.)
Book Synopsis Statistical Mechanics of Disordered Systems by : Anton Bovier
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by . This book was released on 2001 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Mechanics of Disordered Systems by : Anton Bovier
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Mechanics of Disordered Systems by :
Download or read book Statistical Mechanics of Disordered Systems written by and published by . This book was released on 2006 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained graduate-level introduction to the statistical mechanics of disordered systems. In three parts, the book treats basic statistical mechanics; disordered lattice spin systems; and latest developments in the mathematical understanding of mean-field spin glass models. It assumes basic knowledge of classical physics and working knowledge of graduate-level probability theory.
Book Synopsis Time-Dependent Effects in Disordered Materials by : Roger Pynn
Download or read book Time-Dependent Effects in Disordered Materials written by Roger Pynn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprised the proceedings of a NATO Advanced Study Institute held in Geilo, Norway between 29 March and 9 April 1987. Al though the principal support for the meeting was provided by the NATO Cornrni ttee for Scientific Affairs, a number of additional sponsors also contributed. Additional funds were received from: Institutt for Energiteknikk (Norway) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) VISTA (Norway) The organizing cornrni ttee would like to take this opportunity to thank all sponsors for their help in promoting an exciting and rewarding meeting. This Study Institute was the ninth of a series of meetings held in Geilo on subjects related to phase transitions and was a natural successor to the 1985 meeting on Scaling Phenomena in Disordered Systems. Many of the subjects discussed at the latter meeting were revisited in 1987, with time dependence as an added feature. Often the common theme was the concept of fractals first introduced into statistical physics some six years ago. However, by no means all disordered systems can be forced into a fractal framework, and many of the lectures reinforced this lesson.
Book Synopsis Exact Computations in the Statistical Mechanics of Disordered Systems by : Lawrence Kevin Saul
Download or read book Exact Computations in the Statistical Mechanics of Disordered Systems written by Lawrence Kevin Saul and published by . This book was released on 1994 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Disordered Systems, Random Processes and Some Applications by : Pierluigi Contucci
Download or read book Advances in Disordered Systems, Random Processes and Some Applications written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2016-12-15 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified perspective on the study of complex systems for scholars of various disciplines, including mathematics, physics, computer science, biology, economics and social science. The contributions, written by leading scientists, cover a broad set of topics, including new approaches to data science, the connection between scaling limits and conformal field theories, and new ideas on the Legendre duality approach in statistical mechanics of disordered systems. The volume moreover explores results on extreme values of correlated random variables and their connection with the Riemann zeta functions, the relation between diffusion phenomena and complex systems, and the Brownian web, which appears as the universal scaling limit of several probabilistic models. Written for researchers from a broad range of scientific fields, this text examines a selection of recent developments in complex systems from a rigorous perspective.
Download or read book The Fiber Bundle written by Ferenc Kun and published by Frontiers Media SA. This book was released on 2022-01-10 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday by : Mohamed Daoud
Download or read book Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday written by Mohamed Daoud and published by World Scientific. This book was released on 2002-05-30 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fatigue and Fracture Mechanices by : Steven R. Daniewicz
Download or read book Fatigue and Fracture Mechanices written by Steven R. Daniewicz and published by ASTM International. This book was released on 2005-09 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Desiccation Cracks and their Patterns by : Lucas Goehring
Download or read book Desiccation Cracks and their Patterns written by Lucas Goehring and published by John Wiley & Sons. This book was released on 2016-03-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together basic ideas, classical theories, recent experimental and theoretical aspects, this book explains desiccation cracks from simple, easily-comprehensible cases to more complex, applied situations. The ideal team of authors, combining experimental and theoretical backgrounds, and with experience in both physical and earth sciences, discuss how the study of cracks can lead to the design of crack-resistant materials, as well as how cracks can be grown to generate patterned surfaces at the nano- and micro-scales. Important research and recent developments on tailoring desiccation cracks by different methods are covered, supported by straightforward, yet deep theoretical models. Intended for a broad readership spanning physics, materials science, and engineering to the geosciences, the book also includes additional reading especially for students engaged in pattern formation research.