Waves in Nonlinear Pre-Stressed Materials

Papers in this book provide a state-of-the-art examination of waves in pre-stressed materials. You'll gain new perspectives via a multi-disciplinary approach that interweaves key topics. These topics include the mathematical modeling of incremental material response (elastic and inelastic), an analysis of the governing differential equations, and boundary-value problems. Detailed illustrations help you visualize key concepts and processes.

Zusammenfassung

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.

Inhalt

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.