Strain Solitons in Solids and How to Construct Them
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A01=Alexander M. Samsonov
Abel Equation
advanced materials testing
Author_Alexander M. Samsonov
boussinesq
Boussinesq Equation
Category=PBK
Category=PBW
Direct Monte Carlo Simulation Method
dispersive wave equations
Displacement Vector
elastic rod dynamics
elastic solitary waves
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation
Explicit TW Solution
finite deformation analysis
Free Lateral Surface
guide
Hamilton's Variational Principle
Hamilton’s Variational Principle
IST Method
Lagrangian Density
long strain solitons
Main Pulse
mechanical wave simulation
Microstructure Tests
nonlinear elasticity
nonlinear strain wave propagation
Nonlinear Wave Propagation
Pasternak Model
Phase Shift Distribution
Piola Kirchhoff Stress Tensor
problem
propagation
solid-state physics
solitary
Solitary Wave
Solitary Wave Solution
Soliton Generation
solutions
Stable Analytical Solutions
Strain Wave
travelling
TW Solution
Varying Cross Section Area
Vice Versa
wave
Wave Guide
waves
Weierstrass Elliptic Function
Product details
- ISBN 9780367455408
- Weight: 720g
- Dimensions: 156 x 234mm
- Publication Date: 18 Dec 2020
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
