Waves in nonlinear pre-stressed materials : [these lecture notes originate from a course held in September 2006 at the Centre International des Sciences Mécaniques (CISM) in Udine, Italy

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. Front Matter....Pages i-vii Incremental Statics and Dynamics of Pre-Stressed Elastic Materials....Pages 1-26 Small-on-Large Theory with Applications to Granular Materials and Fluid/Solid Systems....Pages 27-62 Interface Waves in Pre-Stressed Incompressible Solids....Pages 63-102 Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-spaces....Pages 103-127 Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview?....Pages 129-179 Numerical Methods for Elastic Wave Propagation....Pages 181-281 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.