Fractal Aspects of Materials
Author: Fereydoon Family
Publisher:
Published: 1995
Total Pages: 560
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Fereydoon Family
Publisher:
Published: 1995
Total Pages: 560
ISBN-13:
DOWNLOAD EBOOKAuthor: Materials Research Society. Fall Meeting Symposium S.
Publisher:
Published: 1987
Total Pages: 228
ISBN-13:
DOWNLOAD EBOOKAuthor: David A. Weitz
Publisher:
Published: 1988
Total Pages: 382
ISBN-13:
DOWNLOAD EBOOKAuthor: C. W. Lung
Publisher: World Scientific
Published: 1999
Total Pages: 442
ISBN-13: 9789810226220
DOWNLOAD EBOOKThe book is intended to describe the basic and newly developed elements of the physics of solids and materials science on mechanical properties of metals with as much continuity as is possible. Particular emphasis has been placed in atomistic and fractal approaches and continuum theory of dislocations is also introduced. Since the book is meant for the two main topics of progress in recent years, some interesting and important topics which have not been discussed or introduced are given in detail.For a long time, pair potentials were used very expensively in simulation studies. They can reproduce usefully total energies for many systems. But when one turns to elastic properties, fracture of surfaces, and the vacancy formation energy, deficiencies and limitations begin to emerge. These limitations of the simple pair potential approximation have been addressed by the development of empirical many-body potentials which is the major theme of our book.Over a decade or more, diverse scientists have recognized that many of the structures common in their experiments have a special kind of geometrical complexity. The key to this progress is the recognition that many random structures obey a symmetry that objects look the same on many different scales of observation. The concept of fractals was introduced by Mandelbrot and applied to fractures by himself and collaborators. Their work pointed to a correlation between toughness and the fractal dimension. Our interest is the fractal aspects of fractured surfaces. We will discuss more in our book.The strain field of a dislocation has a long range part and this part can be discussed rigorously from elasticity theory. Recent progress in elastic strain fields and dislocation mobility were made by Indenbom and Lothe. The elementary essentials will be introduced in our book.
Author: Maria Rosaria Lancia
Publisher: Springer Nature
Published: 2021-03-17
Total Pages: 173
ISBN-13: 303061803X
DOWNLOAD EBOOKFractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to significant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of different temporal and spatial scales and the presence of contacts among different components through (irregular) interfaces that often connect media with different characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.
Author: John C. Russ
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 313
ISBN-13: 1489925783
DOWNLOAD EBOOKThe 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: Fernando Brambila
Publisher: BoD – Books on Demand
Published: 2017-06-14
Total Pages: 296
ISBN-13: 9535131915
DOWNLOAD EBOOKFractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
Author: Brian H. Kaye
Publisher: John Wiley & Sons
Published: 2008-07-11
Total Pages: 452
ISBN-13: 3527615989
DOWNLOAD EBOOKFractal 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: L. Pietronero
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 489
ISBN-13: 0444598413
DOWNLOAD EBOOKFractals in Physics