Overview
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.
Full Product Details
Author: Alexander M. Samsonov ,
Alan Jeffrey (University of Newcastle upon Tyne, UK) ,
Haim Brezis ,
Ronald G. Douglas (Texas A & M University)
Publisher: Taylor & Francis Inc
Imprint: CRC Press Inc
Volume: 1
Dimensions:
Width: 15.60cm
, Height: 3.00cm
, Length: 23.40cm
Weight: 0.470kg
ISBN: 9780849306846
ISBN 10: 0849306841
Pages: 248
Publication Date: 18 January 2001
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Replaced By: 9781482259520
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
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 solidsThis book is written to stimulate further study and research in this growing and important fieldit could be used in graduate-level seminar courseswell-writtenan excellent addition to the literature on solutions in elastic solids. - Zentralbatt f]r Mathematik
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
