Cargando…
Amplification of nonlinear strain waves in solids /
This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of un...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©2003.
|
| Colección: | Series on stability, vibration, and control of systems.
v. 9. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Basic concepts. 1.1. Single nonlinear waves of permanent shape. 1.2. Formation of nonlinear waves of permanent shape from an arbitrary input. 1.3. Amplification, attenuation and selection of nonlinear waves
- 2. Mathematical tools for the governing equations analysis. 2.1. Exact solutions. 2.2. Asymptotic solutions. 2.3. Numerical methods. 2.4. Use of Mathematica
- 3. Strain solitary waves in an elastic rod. 3.1. The sources of nonlinearities. 3.2. Modelling of nonlinear strain waves in a free lateral surface elastic rod. 3.3. Double-dispersive equation and its solitary wave solution. 3.4. Observation of longitudinal strain solitary waves. 3.5. Reflection of solitary wave from the edge of the rod
- 4. Amplification of strain waves in absence of external energy influx. 4.1. Longitudinal strain solitary wave amplification in a narrowing elastic rod. 4.2. Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding. 4.3. Strain solitary waves in an elastic rod with microstructure
- 5. Influence of dissipative (active) external medium. 5.1. Contact problems: various approaches. 5.2. Evolution of bell-shaped solitary waves in presence of active/dissipative external medium. 5.3. Strain kinks in an elastic rod embedded in an active/dissipative medium. 5.4. Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod
- 6. Bulk active or dissipative sources of the amplification and selection. 6.1. Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids. 6.2. Nonlinear seismic solitary waves selection. 6.3. Moving defects induced by external energy flux. 6.4. Thermoelastic waves.