基本説明
Provides 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 boundaryvalue problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications.
Full Description
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.
Contents
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.
