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List of contents
Nonlinear waves in elastic solids. A mathematical description of the general deformation wave problem. Nonlinear guided waves in laminates. Direct methods and formal solutions. Nonlinear strain waves in elastic wave guides. Nonlinear waves in complex wave guides. Experiments in strain solitons in laminated wave guides. Numerical simulation of the solitary waves in solids. Conclusive remarks and tentative applications. Bibliography. Appendix. Index.
About the author
Professor Alexander Samsonov is experienced in non-linear mathematics and mechanics, mathematical physics, theory of non-linear waves in condensed matter, theory of non-linear differential equations, non-linear elasticity, non-linear acoustics, numerical analysis. He has published more than 90 papers in peer-reviewed journals, more than 120 papers in conference proceedings and 5 certified inventions (patents). Among many other achievements, he developed the mathematical theory of non-linear strain waves in elastic wave guides and on surfaces, predicted the existence and amplification of strain solitons, initiated and led the pioneering experiments for their generation in solids, in which solitons were discovered, and therefore, the deformation energy transfer in highly dispersive and dissipative wave guides was proved.
Summary
This book shows how mathematicians who solve rigorously complicated nonlinear problems can help the engineer and physicist use solition theory in their experimental work. The author demonstrates how formal mathematical statements can be used to plan and perform contemporary physical experiments oriented to applications. The new edition contains several new chapters or chapter sections including Nonlinear Guided Waves in Laminates, Experiments in Strain Solitons in Laminated Wave Guides and Strain Solitons in a Thin Shell.
