Title: Nonlinear Elastic Waves in Materials
Author(s): Jeremiah J. Rushchitsky (auth.)
Series: Foundations of Engineering Mechanics
Publisher: Springer International Publishing
Year: 2014
Edition: 1
Language: English
Pages (biblio\tech): 440\445
ISBN: 978-3-319-00463-1, 978-3-319-00464-8
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.
Table of contents :
Front Matter....Pages i-xiii
Introduction....Pages 1-23
Preliminary Information About Waves and Materials....Pages 25-43
Elastic Materials....Pages 45-77
The Simplest Linear Waves in Elastic Materials....Pages 79-119
Nonlinear Plane Longitudinal Waves in Elastic Materials (Murnaghan Model, Five-Constant Model)....Pages 121-173
Nonlinear Plane Longitudinal Waves in Elastic Materials (John Model, Two-Constant Model and Signorini Model, Three-Constant Model)....Pages 175-197
Nonlinear Plane Transverse Waves in Elastic Materials (Murnaghan Model, Five-Constant Model)....Pages 199-211
Nonlinear Plane Waves in Hypoelastic Materials....Pages 213-230
Nonlinear Plane Waves in Elastic Mixtures (Elastic Composite Materials)....Pages 231-302
Nonlinear Cylindrical and Torsional Waves in Hyperelastic Materials....Pages 303-379
Nonlinear Rayleigh and Love Surface Waves in Elastic Materials....Pages 381-428
Afterword....Pages 429-431
Back Matter....Pages 433-440