Fractal Aspect of Materials - 1989
Author | : J. H. Kaufman |
Publisher | : |
Total Pages | : 288 |
Release | : 1989 |
Genre | : |
ISBN | : |
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Author | : J. H. Kaufman |
Publisher | : |
Total Pages | : 288 |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : J. H. Kaufman |
Publisher | : |
Total Pages | : 288 |
Release | : 1990 |
Genre | : |
ISBN | : |
Author | : J. H. Kaufman |
Publisher | : |
Total Pages | : 288 |
Release | : 1989 |
Genre | : Fractals |
ISBN | : |
Author | : Materials Research Society |
Publisher | : |
Total Pages | : |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : John C. Russ |
Publisher | : Springer Science & Business Media |
Total Pages | : 313 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1489925783 |
The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.
Author | : Fereydoon Family |
Publisher | : |
Total Pages | : 560 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : |
Author | : Armin Bunde |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642514359 |
Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.
Author | : Brian H. Kaye |
Publisher | : John Wiley & Sons |
Total Pages | : 452 |
Release | : 2008-07-11 |
Genre | : Technology & Engineering |
ISBN | : 3527615989 |
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin
Author | : J. M. Drake |
Publisher | : |
Total Pages | : 274 |
Release | : 1990 |
Genre | : Molecular dynamics |
ISBN | : |
Author | : Heping Xie |
Publisher | : CRC Press |
Total Pages | : 472 |
Release | : 2020-12-18 |
Genre | : Technology & Engineering |
ISBN | : 1000150348 |
Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.