The Mathematical Theory of Elasticity

Name: The Mathematical Theory of Elasticity
Brand: Taylor & Francis
SKU: 9781138374355
Price: 146.0 NZD
Availability: InStock

By Richard B. Hetnarski and Jozef Ignaczak and Józef Ignaczak and Mumtaz Kassir

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Summary

The Mathematical Theory of Elasticity, Second Edition bridges theory and application in elasticity with comprehensive coverage of classical and recent developments. It emphasises elastodynamics and thermoelastodynamics while also addressing elastostatics and thermoelastostatics. The book covers fundamentals such as kinematics, equilibrium, constitutive relations, and variational principles, and guides readers through solving boundary value problems in one to three dimensions. New to this edition are sections on Laplace transforms, Dirac delta and Heaviside functions, the Cherkaev, Lurie, and Milton stress invariance theorem, plus recent advances in thermoelasticity. It is a detailed professional reference featuring additional examples, extensive applications, and access to a solutions manual for instructors.
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Format: Paperback / softback

$146⁰⁰

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The Mathematical Theory of Elasticity

$146⁰⁰

Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

This book is ideal for graduate students preparing PhD theses, researchers, and professionals in continuum mechanics and related fields seeking an advanced, mathematically rigorous resource on elasticity theory and applications.

Description

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 Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

This second edition is updated, broadened, and refined, serving graduate students and researchers alike with thorough coverage of both theory and practical problems in elasticity. Noted for its inclusion of classical topics alongside the latest research, it is particularly strong in elastodynamics and thermoelastodynamics. Reviewers praise the authors' expertise and the book's blend of rigorous mathematics with applied focus, making it valuable for PhD students and professionals in continuum mechanics.
—SciTech Book News, February 2011

Book Details

INFORMATION

ISBN: 9781138374355

Publisher: Taylor & Francis Ltd

Format: Paperback / softback

Date Published: 18 September 2018

Country: United Kingdom

Imprint: CRC Press

Edition: 2nd edition

Illustration: 4 Tables, black and white; 108 Illustrations, black and white

Audience: Tertiary education, Professional and scholarly

DIMENSIONS

Width: 178.0mm

Height: 254.0mm

Weight: 1550g

Pages: 838

Collections

Education & Reference Engineering, Technology & Agriculture Jozef Ignaczak Józef Ignaczak Mumtaz Kassir Non-Fiction Richard B. Hetnarski Science & Nature

About the Author

Richard B. Hetnarski, PE, is professor emeritus in the Department of Mechanical Engineering at the Rochester Institute of Technology. He has also held positions at Cornell University, NASA, and the Polish Academy of Sciences. Dr. Hetnarski is the founder and president of the International Congresses on Thermal Stresses (ICTS) and the founder and editor of the Journal of Thermal Stresses. He has published extensively in the areas of mechanics and mathematics.

Józef Ignaczak is professor emeritus in the Institute of Fundamental Technological Research of the Polish Academy of Sciences, where he was awarded the 50-year Anniversary Medal. Dr. Ignaczak has also been a recipient of the Golden Cross of Merit and the Polonia Restituta Cross (KKOOP) from the Polish State Council; the Twentieth Century Achievement Award, the Presidential Seal of Honor, the Platinum Record for Exceptional Performance, and the 2000 Millennium Medal of Honor from the American Biographical Institute (ABI); and the Honorary Achievement Award from the 1997 Symposium on Thermal Stresses. Over the years, his research has focused on the development of linear elastodynamics and dynamic coupled classical and nonclassical thermoelasticity.