Foundations of Engineering Mechanics

Nonlinear Elastic Waves in Materials

Authors: Rushchitsky, Jeremiah J.

  • Presents a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements
  • Applicable in mechanical and other engineering, material science, applied mathematics and physics
  • Written by well-known experts in the field
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eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-00464-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-00463-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-319-37574-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this book

The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves.
The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves.
The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”.
The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.

Reviews

From the book reviews:

“In this monograph, the author presents the theory of elastic waves in nonlinear elastic materials. The book requires the knowledge of basic mathematics and continuum mechanics, and is aimed at senior undergraduates, postgraduates and researchers working in nonlinear elasticity. … The book will be quite useful to engineers and applied mathematicians as a source of different nonlinear models and constitutive equations for elastic waves.” (Fiazud Din Zaman, zbMATH, Vol. 1302, 2015)

Table of contents (12 chapters)

  • Introduction

    Rushchitsky, Jeremiah J.

    Pages 1-23

  • Preliminary Information About Waves and Materials

    Rushchitsky, Jeremiah J.

    Pages 25-43

  • Elastic Materials

    Rushchitsky, Jeremiah J.

    Pages 45-77

  • The Simplest Linear Waves in Elastic Materials

    Rushchitsky, Jeremiah J.

    Pages 79-119

  • Nonlinear Plane Longitudinal Waves in Elastic Materials (Murnaghan Model, Five-Constant Model)

    Rushchitsky, Jeremiah J.

    Pages 121-173

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-00464-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-00463-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-319-37574-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Elastic Waves in Materials
Authors
Series Title
Foundations of Engineering Mechanics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00464-8
DOI
10.1007/978-3-319-00464-8
Hardcover ISBN
978-3-319-00463-1
Softcover ISBN
978-3-319-37574-8
Series ISSN
1612-1384
Edition Number
1
Number of Pages
XIII, 440
Number of Illustrations and Tables
69 b/w illustrations
Topics