Waves in Nonlinear Pre-Stressed Materials / edited by Michel Destrade, Giuseppe Saccomandi.

Springer eBooks

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.

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.

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