Strain Solitons in Solids and How to Construct Them - Alexander M. Samsonov

Strain Solitons in Solids and How to Construct Them

Buch | Softcover
248 Seiten
2020
Chapman & Hall/CRC (Verlag)
978-0-367-45540-8 (ISBN)
73,55 inkl. MwSt
Although the theory behind solitary waves of strain shows that they hold promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable solitary waves in practice. Inspired by this contradiction, Strain Solitons in Solids and How to Construct Them refines the theory, explores how to con
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.

Samsonov, Alexander M.

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.

Erscheinungsdatum
Reihe/Serie Monographs and Surveys in Pure and Applied Mathematics
Sprache englisch
Maße 156 x 234 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-367-45540-4 / 0367455404
ISBN-13 978-0-367-45540-8 / 9780367455408
Zustand Neuware
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