Waves in Nonlinear Pre-Stressed Materials

The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications.
A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.

Sommario

Incremental Statics and Dynamics of Pre-Stressed Elastic Materials.- Small-on-Large Theory with Applications to Granular Materials and Fluid/Solid Systems.- Interface Waves in Pre-Stressed Incompressible Solids.- Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-spaces.- Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview?.- Numerical Methods for Elastic Wave Propagation.

Riassunto

The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications.
A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.

Dettagli sul prodotto

• Con la collaborazione di: Destrade (Editore), M Destrade (Editore), M. Destrade (Editore), Michel Destrade (Editore), Saccomandi (Editore), Saccomandi (Editore), G. Saccomandi (Editore), Giuseppe Saccomandi (Editore)
• Editore: Springer, Wien
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 04.09.2007
• EAN: 9783211735718
• ISBN: 978-3-211-73571-8
• Pagine: 281
• Peso: 622 g
• Illustrazioni: VII, 281 p.
• Serie: CISM International Centre for Mechanical Sciences; International Centre for Mechanical Sciences; CISM Courses and Lectures, International Centre for Mechanical Sciences; CISM International Centre for Mechanical Sciences; CISM Courses and Lectures, International Centre for Mechanical Sciences
• Categorie: Scienze naturali, medicina, informatica, tecnica > Tecnica; Stress, B, Modeling, engineering, Physics, materials, Mechanics, Engineering, general, Technology and Engineering, Statics, materials sciences, nonlinear wave