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Questions About Elastic Waves

  • Jüri Engelbrecht

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Jüri Engelbrecht
    Pages 1-7
  3. Jüri Engelbrecht
    Pages 9-17
  4. Jüri Engelbrecht
    Pages 19-42
  5. Jüri Engelbrecht
    Pages 71-89
  6. jüri Engelbrecht
    Pages 91-149
  7. Jüri Engelbrecht
    Pages 175-183
  8. Back Matter
    Pages 185-196

About this book

Introduction

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua.

With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.

Keywords

dispersion microstructured solids nonlinearity wave interaction waves

Authors and affiliations

  • Jüri Engelbrecht
    • 1
  1. 1.Centre for Nonlinear Studies (CENS)Tallinn University of Technology Institute of CyberneticsTallinnEstonia

Bibliographic information