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The Mathematical Theory of Elasticity, Second Edition

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The Mathematical Theory of Elasticity, Second Edition Cover

 

Synopses & Reviews

Publisher Comments:

Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results.

New to the Second Edition

  • Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function
  • Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites
  • The Cauchy relations in elasticity
  • A body force analogy for the transient thermal stresses
  • A three-part table of Laplace transforms
  • An appendix that explores recent developments in thermoelasticity

Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions.

This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.

Book News Annotation:

Updated, improved, expanded, revised, this second edition graduate text supplants the first, which was published in 2004. The intent is still to provide coverage of both theory and applications using lots of examples and problems of interest to a wide range of readers. Students preparing PhD theses, grad students needing a text that provides classical as well as recent results, and researchers in continuum mechanics are among the expected audience for this one-volume resource. Coverage includes elastostatics, thermoelastostics, elastodynamics, and thermoelastodynamics; special emphasis is on the latter two areas, given that most texts deal mainly with the first two. New to this edition is coverage of the application of Laplace transforms, the Dirac delta function, and the Heaviside function; the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem; and recent developments in thermoelasticity. Hetnarski (emeritus, mechanical engineering, Rochester Institute of Technology) and Ignaczak (mechanics, Polish Academy of Sciences) both have long experience in the field, and they include results from their own research in this volume. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This book presents the mathematical theory of elasticity and its applications. It provides classical results on elasticity as well as new findings obtained in recent years by various researchers, including the authors and their collaborators. The text provides a bridge between mathematical theory and applied elasticity through specific applications illustrated in exercises and problems. It covers the areas of elastostatics, thermoelastostatics, elastodynamics, and thermoelastodynamics with an emphasis on the problems of elastodynamics and thermoelastodynamics. This edition also features an appendix on nonclassical dynamic thermoelasticity, along with expanded name and subject indices.

Product Details

ISBN:
9781439828885
Author:
Hetnarski, Richard B.
Publisher:
CRC Press
Author:
Richard B Hetnarski
Subject:
Physics-Classical Mechanics
Publication Date:
20101031
Binding:
HARDCOVER
Language:
English

Related Subjects

Engineering » Construction » Heating and Air Conditioning
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » General

The Mathematical Theory of Elasticity, Second Edition New Hardcover
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Product details pages CRC Press - English 9781439828885 Reviews:
"Synopsis" by , This book presents the mathematical theory of elasticity and its applications. It provides classical results on elasticity as well as new findings obtained in recent years by various researchers, including the authors and their collaborators. The text provides a bridge between mathematical theory and applied elasticity through specific applications illustrated in exercises and problems. It covers the areas of elastostatics, thermoelastostatics, elastodynamics, and thermoelastodynamics with an emphasis on the problems of elastodynamics and thermoelastodynamics. This edition also features an appendix on nonclassical dynamic thermoelasticity, along with expanded name and subject indices.
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