Boundary Integral Equations in Elasticity Theory

Author:   A.M. Linkov
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   99
ISBN:  

9789048160006


Pages:   274
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Boundary Integral Equations in Elasticity Theory


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Overview

This monograph, first published in Russian, presents a new efficient tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N.I. Muskhelishvili into the computer era. The English edition places more emphasis on problems relating to media with internal structure; it contains more examples showing the potential and advantages of the analysis. The book may be of use to those who want to calculate stresses, strains, stress intensity factors and effective properties of a medium with internal structure when dealing with problems of materials science, fracture mechanics, micromechanics, soil and rock mechanics, geomechanics, civil and mechanical engineering. It may also serve as a textbook for graduate students on the theory of real potentials, on the CV-BIE and on the CV-BEM.

Full Product Details

Author:   A.M. Linkov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   99
Weight:   0.552kg
ISBN:  

9789048160006


ISBN 10:   9048160006
Pages:   274
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface. Preface; Z. Olesiak. Introduction. Part I: Method of Potentials. 1. Real Potentials of Elasticity Theory. 2. Singular Solutions and Potentials in Complex Form. 3. Complex Integral Equations of the Indirect Approach. 4. Complex Integral Equations of the Direct Approach. Part II: Methods Based on the Theory by Kolosov-Muskhelishvili. 5. Functions of Kolosov-Muskhelishvili and Holomorphicity Theorems. 6. Complex Variable Integral Equations. 7. Periodic Problems. 8. Doubly Periodic Problems. 9. Problems for Bonded Half-Planes and Circular Inclusion. Part III: Theory of Complex Integral Equations. 10. Complex Hypersingular and Finite-Part Integrals. 11. Complex Variable Hypersingular Equations (CVH-BIE). Part IV: Numerical Solution of Complex Variable Boundary Integral Equations. 12. Complex Variable Boundary Element Method (CV-BEM). 13. Numerical Experiments Using CV-BEM. 14. Complex Variable Method of Mechanical Quadratures (CV-MMQ). Index. References.

Reviews

From the reviews: ""The present book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations. … The subject matter is presented carefully, step by step with many helpful introductory pieces of text. And it is therefore a pleasure to read the book; the pleasant printing and binding also contribute to the pleasure. The book is addressed to a wide range of readers: graduate students, academics, researchers and engineers."" (Søren Christiansen, Zentralblatt MATH, Vol. 1046 (21), 2004)


From the reviews: The present book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations. ... The subject matter is presented carefully, step by step with many helpful introductory pieces of text. And it is therefore a pleasure to read the book; the pleasant printing and binding also contribute to the pleasure. The book is addressed to a wide range of readers: graduate students, academics, researchers and engineers. (Soren Christiansen, Zentralblatt MATH, Vol. 1046 (21), 2004)


From the reviews: The present book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations. ! The subject matter is presented carefully, step by step with many helpful introductory pieces of text. And it is therefore a pleasure to read the book; the pleasant printing and binding also contribute to the pleasure. The book is addressed to a wide range of readers: graduate students, academics, researchers and engineers. (Soren Christiansen, Zentralblatt MATH, Vol. 1046 (21), 2004)


From the reviews: The present book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations. ... The subject matter is presented carefully, step by step with many helpful introductory pieces of text. And it is therefore a pleasure to read the book; the pleasant printing and binding also contribute to the pleasure. The book is addressed to a wide range of readers: graduate students, academics, researchers and engineers. (Soren Christiansen, Zentralblatt MATH, Vol. 1046 (21), 2004)


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