Boundary Integral Equations in Elasticity Theory

Author:   A.M. Linkov
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   99
ISBN:  

9781402005749


Pages:   274
Publication Date:   30 April 2002
Format:   Hardback
Availability:   In Print   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 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 of those who want to calculate stresses, strains, stress intensity factors and effective properties of a medium with internal structure when dealing with problems of material 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-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   99
Dimensions:   Width: 17.80cm , Height: 1.70cm , Length: 25.40cm
Weight:   1.710kg
ISBN:  

9781402005749


ISBN 10:   1402005741
Pages:   274
Publication Date:   30 April 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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: <p> The present book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations. a ] 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. (SA, ren 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."" (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)


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