Methods of Fracture Mechanics: Solid Matter Physics / Edition 1

by G.P. Cherepanov

Overview

Modern fracture mechanics considers phenomena at many levels, macro and micro; it is therefore inextricably linked to methods of theoretical and mathematical physics. This book introduces these sophisticated methods in a straightforward manner. The methods are applied to several important phenomena of solid state physics which impinge on fracture mechanics: adhesion, defect nucleation and growth, dislocation emission, sintering, the electron beam effect and fractal cracks. The book shows how the mathematical models for such processes may be set up, and how the equations so formulated may be solved and interpreted. The many open problems which are encountered will provide topics for MSc and PhD theses in fracture mechanics, and in theoretical and experimental physics.
As a supplementary text, the book can be used in graduate level courses on fracture mechanics, solid matter physics, and mechanics of solids, or in a special course on the application of fracture mechanics methods in solid matter physics.

Product Details

ISBN-13:	9780792344087
Publisher:	Springer Netherlands
Publication date:	02/28/1997
Series:	Solid Mechanics and Its Applications , #51
Edition description:	1997
Pages:	322
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. Surface Energy of Solids.- 2. Fluctuations and the Kinetic Theory of Fracture.- 3. Crack Nucleation.- 4. Physics of Sintering.- 5. Point Defects in Solids.- 6. Dislocation Emission.- 7. Relativistic Electron Beams in a Solid.- 8. Fractals in Fracture of Solids.

Editorial Reviews

A supplemental text for a graduate course on fracture mechanics, solid matter physics, or the mechanics of solids. Explains the various methods used in the fields, and allows students to test their understanding on problems at the end of each chapter. Among the methods described are mathematical modeling; methods for solving ordinary and partial differential equations, functional and finite difference equations of discrete mathematics, singular and regular integral equations, and integro-differential equations; methods for solving miscellaneous boundary-value problems of fracture mechanics; fractal geometry; catastrophe theory; singular mappings; and numerical methods. Annotation c. by Book News, Inc., Portland, Or.

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