Strain Solitons in Solids and How to Construct Them

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Alexander M. Samsonov (Russian Academy of Science, St. Petersburg, Russia) Alan Jeffrey (University of Newcastle upon Tyne, UK)

Strain Solitons in Solids and How to Construct Them

Alexander M. Samsonov (Russian Academy of Science, St. Petersburg, Russia), Alan Jeffrey (University of Newcastle upon Tyne, UK), Haim Brezis , Ronald G. Douglas (Texas A & M University)

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English

CRC Press Inc
18 January 2001

Calculus & mathematical analysis; Maths for engineers; Mechanics of solids

Series: Monographs and Surveys in Pure and Applied Mathematics

Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary

waves in practice. Inspired by this apparent contradiction,

Strain Solitons in Solids and How to Construct Them refines

the existing theory, explores how to construct a powerful deformation pulse in a waveguide without plastic flow or fracture, and proposes a direct method of strain soliton generation, detection, and observation.

The author focuses on the theory, simulation, generation, and propagation of strain solitary waves in a nonlinearly elastic, straight cylindrical rod under finite deformations. He introduces the general theory of wave propagation in nonlinearly elastic solids and shows, from first principles, how its main ideas can lead to successful experiments. In doing so, he develops a new approach

to solving the corresponding doubly dispersive equation (DDE) with dissipative terms, leading to new explicit and exact

solutions. He also shows that the method is applicable to a variety of nonlinear problems.

First discovered in virtual reality, nonlinear waves and solitons in solids are finally moving into the genuine reality of physics, mechanics, and engineering. Strain Solitons in Solids and How to Construct Them shows how to balance the mathematics of the problem with

the application of the results to experiments and ultimately to generating and observing solitons in solids.

By: Alexander M. Samsonov (Russian Academy of Science St. Petersburg Russia)
Series edited by: Alan Jeffrey (University of Newcastle upon Tyne UK), Haim Brezis, Ronald G. Douglas (Texas A & M University)
Imprint: CRC Press Inc
Country of Publication: United States
Volume: 1
Dimensions: Height: 234mm, Width: 156mm, Spine: 30mm
Weight: 470g
ISBN: 9780849306846
ISBN 10: 0849306841
Series: Monographs and Surveys in Pure and Applied Mathematics
Pages: 248
Publication Date: 18 January 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Replaced By: 9781482259520
Format: Hardback
Publisher's Status: Active

Nonlinear Waves in Elastic Solids. Mathematical Description of General Deformation Wave Problem. Direct Methods and Formal Solutions. Nonlinear Strain Waves in Elastic Wave Guides. Waves in Non-Homogeneous Wave Guide. Numerical Simulation and Experiments. References. Index.

Samsonov, Alexander M.

Reviews for Strain Solitons in Solids and How to Construct Them

Samsonov's book, Strain Solitons in Solids and How to Construct Them is an original one. It clearly deserves to be on the shelves of all researchers interested in the nonlinear dynamical elasticity of structures. - Applied Mechanics Reviews, Vol. 54, No. 4, July 2001 The author is known for his own contributions to nonlinear waves and solutions in elastic solids...This book is written to stimulate further study and research in this growing and important field...it could be used in graduate-level seminar courses...well-written...an excellent addition to the literature on solutions in elastic solids. - Zentralbatt fur Mathematik