Statistical Physics of Fracture and Breakdown in Disordered Systems


Book Description

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


Book Description

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: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday


Book Description

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.




Statistical Physics of Non-Thermal Phase Transitions


Book Description

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.




Statistical Models for the Fracture of Disordered Media


Book Description

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.







Nanocomposites with Biodegradable Polymers


Book Description

Bio-nanocomposites combine the enhanced properties of commercial polymer nanocomposites with the low environmental impact of biodegradable material, making them a topic of great current interest. Because of their tremendous role in reducing dependency on commercial non-biodegradable polymers, and their environmentally-friendly nature, bio-nanocomposites need to be studied in greater detail. In this book, recent advancements in their development are brought together in a single text, to provide researchers with a thorough insight into the various systems, and to open up future perspectives. Although the commercial applications of these bio-nanocomposites are in their infancy, these materials have a huge commercial potential. In setting out the next generation of advances in nanocomposite technology, this book opens the way for further developments in the field. Describing the subject as a whole, from a basic introduction to the more specific systems and advancements, this book can be used both as a professional reference and for teaching purposes.




Advanced Tomographic Methods in Materials Research and Engineering


Book Description

Tomography provides 3D images of materials or engineering components and an unprecedented insight into their internal structure. This book discusses developments in the field, such as the extension of tomographic methods to materials research and engineering.




Smart Structures


Book Description

A structure is an assembly that serves an engineering function. A smart structure is one that serves this function smartly, i.e. by responding adaptively in a pre-designed useful and efficient manner to changing environmental conditions. Adaptive behaviour of one or more materials constituting a smart structure requires nonlinear response. This book describes the three main types of nonlinear-response materials: ferroic materials, soft materials, and nanostructured materials. Information processing by biological and artificial smart structures is also discussed. A smart structure typically has sensors, actuators, and a control system. Progress in all these aspects of smart structures has leant heavily on mimicking Nature, and the all-important notion in this context has been that of evolution. Artificial Darwinian and Lamarckian evolution holds the key to the development of truly smart structures. Modestly intelligent robots are already on the horizon. Projections about the low-cost availability of adequate computing power and memory size indicate that the future really belongs to smart structures. This book covers in a compact format the entire gamut of concepts relevant to smart structures. It should be of interest to a wide range of students and professionals in science and engineering.




Introduction to Scanning Tunneling Microscopy Third Edition


Book Description

The scanning tunnelling microscope (STM) was invented by Binnig and Rohrer and received a Nobel Prize of Physics in 1986. Together with the atomic force microscope (AFM), it provides non-destructive atomic and subatomic resolution on surfaces. Especially, in recent years, internal details of atomic and molecular wavefunctions are observed and mapped with negligible disturbance. Since the publication of its first edition, this book has been the standard reference book and a graduate-level textbook educating several generations of nano-scientists. In Aug. 1992, the co-inventor of STM, Nobelist Heinrich Rohrer recommended: "The Introduction to Scanning tunnelling Microscopy by C.J. Chen provides a good introduction to the field for newcomers and it also contains valuable material and hints for the experts". For the second edition, a 2017 book review published in the Journal of Applied Crystallography said "Introduction to Scanning tunnelling Microscopy is an excellent book that can serve as a standard introduction for everyone that starts working with scanning probe microscopes, and a useful reference book for those more advanced in the field". The third edition is a thoroughly updated and improved version of the recognized "Bible" of the field. Additions to the third edition include: theory, method, results, and interpretations of the non-destructive observation and mapping of atomic and molecular wavefunctions; elementary theory and new verifications of equivalence of chemical bond interaction and tunnelling; scanning tunnelling spectroscopy of high Tc superconductors; imaging of self-assembled organic molecules on the solid-liquid interfaces. Some key derivations are rewritten using mathematics at an undergraduate level to make it pedagogically sound.