1.

Record Nr.

UNINA9910454347303321

Autore

Erofeyev Vladimir I

Titolo

Wave processes in solids with microstructure [[electronic resource] /] / Vladimir I. Erofeyev

Pubbl/distr/stampa

Singapore ; ; River Edge, NJ, : World Scientific, c2003

ISBN

1-281-93444-5

9786611934446

981-279-450-6

Descrizione fisica

1 online resource (276 p.)

Collana

Series on stability, vibration, and control of systems. Series A ; ; v. 8

Disciplina

532.0593

Soggetti

Wave equation

Wave mechanics

Wave-motion, Theory of

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 233-252) and index.

Nota di contenuto

Contents               ; Preface              ; Introduction                   ; 1. The Fundamental Hypothesis of Microstructured Elastic Solids. Structural-Phenomenological Model                                                                                                         ; 1.1 Mathematical Models of Solids with Microstructure                                                            ; 1.2 Definition of Material Constants

2. Gradient Elasticity Media. Dispersion. Dissipation. Non-Linearity                                                                           2.1 Dynamic Equations. Energy and Momentum Variation Law                                                               ; 2.2 Dispersion Properties of Longitudinal and Shear Waves. Surface Rayleigh Waves                                                                                        ; 2.3 Dissipative Properties                                 ; 2.4 Nonlinear Plain Stationary Waves

2.5 Quasi-Plain Wave Beams                                 2.6 Self-Modulation of Quasi-Harmonic Shear Waves                                                        ; 2.7 Resonant Interaction of Quasi-Harmonic Waves                                                       ; 2.8 Noise Waves                      ; 3. Gradient Elasticity Media. Damaged Medium. Magnetoelasticity                                                                      ; 3.1 Waves in Damaged Medium with Microstructure

3.2 Magneto-Elastic Waves in the Medium with Microstructure                                                                  


4. Cosserat Continuum                            ; 4.1 Basic Equations of Micropolar Elasticity Theory                                                          ; 4.2 Dispersion Properties of Volume Waves                                                ; 4.3 Wave Reflection from the Free Interface of Micropolar Halfspace. Rayleigh Surface Waves

4.4 Normal Waves in a Micropolar Layer                                             4.5 Nonlinear Resonant Interaction of Longitudinal and Rotation Waves                                                                            ; 4.6 Waves in Cosserat Pseudocontinuum                                            ; 4.7 Waves in the Cosserat Continuum with Symmetric Stress Tensor                                                                       ; 5. Waves in Two-Component Mixture of Solids

5.1 Dispersion Properties

Sommario/riassunto

This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied. The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered. <br><i>Contents:</i><ul><li>The Fundamental Hypothesis of Microstructured Elast