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Waves in Nonlinear Pre-Stressed Materials

  • Michel Destrade
  • Giuseppe Saccomandi
Book

Part of the CISM Courses and Lectures book series (CISM, volume 495)

About this book

Introduction

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.

Keywords

applied mechanics dynamics fluid material materials materials sciences mechanics modeling nonlinear wave physics statics stress

Editors and affiliations

  • Michel Destrade
    • 1
  • Giuseppe Saccomandi
    • 2
  1. 1.CNRS ParisFrance
  2. 2.University of LecceItaly

Bibliographic information