the fiber bundle model modeling failure in materials statistical physics of fracture and breakdown

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The Fiber Bundle Model

Author : Alex Hansen
ISBN : 9783527412143
Genre : Science
File Size : 89. 23 MB
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Gathering research from physics, mechanical engineering, and statistics in a single resource for the first time, this text presents the background to the model, its theoretical basis, and applications ranging from materials science to earth science. The authors start by explaining why disorder is important for fracture and then go on to introduce the fiber bundle model, backed by various different applications. Appendices present the necessary mathematical, computational and statistical background required. The structure of the book allows the reader to skip some material that is too specialized, making this topic accessible to the engineering, mechanics and materials science communities, in addition to providing further reading for graduate students in statistical physics.

Statistical Physics Of Fracture Beakdown And Earthquake

Author : Soumyajyoti Biswas
ISBN : 9783527412198
Genre : Science
File Size : 21. 71 MB
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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.

Modelling Critical And Catastrophic Phenomena In Geoscience

Author : Pratip Bhattacharyya
ISBN : 9783540353737
Genre : Science
File Size : 34. 16 MB
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Geophysics, or physics modelling of geological phenomena, is as old and as - tablished as geoscience itself. The statistical physics modelling of various g- physical phenomena, earthquake in particular, is comparatively recent. This bookintendstocovertheserecentdevelopmentsinmodellingvariousgeoph- ical phenomena, including the imposing classic phenomenon of earthquakes, employing various statistical physical ideas and techniques. This ?rst book on statistical physics modelling of geophysical phenomena contains extensive - viewsbyalmostalltheleadingexpertsinthe?eldandshouldbewidelyuseful to the graduate students and researchers in geoscience and statistical physics. It grew out of the lecture notes from a workshop on “Models of Earthquakes: Physics Approaches”, held in Saha Institute of Nuclear Physics, Kolkata, - der the auspices of its Centre for Applied Mathematics and Computational Science in December 2005. The book is divided in four parts. In the ?rst part, tutorial materials are introduced. Chakrabarti introduces the fracture nucleation processes, their (extreme) statistics in disordered solids, in ?bre bundle models and in the two fractal overlap models of earthquakes. In the next two chapters, Hemmer et al. and Kun et al. review the avalanche or quake statistics and the bre- ing dynamics in simple (mean-?eld like) ?bre bundle models and in their extended versions, respectively. Hansen and Mathiesen discuss the scale - variance properties of the random and fractured surfaces.

Statistical Models For The Fracture Of Disordered Media

Author : H.J. Herrmann
ISBN : 9781483296128
Genre : Technology & Engineering
File Size : 47. 28 MB
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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.

Proceedings Of The U S National Congress Of Applied Mechanics

Author :
ISBN : UOM:39015006069556
Genre : Mechanics, Applied
File Size : 29. 1 MB
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Analysis And Design Issues For Modern Aerospace Vehicles 1997

Author : George J. Simitses
ISBN : UOM:39015041737100
Genre : Technology & Engineering
File Size : 36. 72 MB
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Proceedings

Author : United States. National Congress of Applied Mechanics
ISBN : PSU:000007965722
Genre : Mechanics, Applied
File Size : 48. 63 MB
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Physical Review

Author :
ISBN : UOM:39076001897086
Genre : Fluids
File Size : 59. 58 MB
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An Exact Renormalization Model For Earthquakes And Material Failure Statics And Dynamics

Author : William I. Newman
ISBN : CORNELL:31924067536536
Genre :
File Size : 57. 18 MB
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Statistical Aspects Of The Failure Of Brittle Matrix Composites Reinforced With Unidirectional Continuous Discontinuous And Time Dependent Brittle Fibers

Author : M'hamed Ibnabdeljalil
ISBN : CORNELL:31924076063480
Genre :
File Size : 77. 69 MB
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