Linear and Nonlinear Waves in Microstructured Solids : Homogenization and Asymptotic Approaches

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Linear and Nonlinear Waves in Microstructured Solids : Homogenization and Asymptotic Approaches

Andrianov, Igor V./ Awrejcewicz, Jan/ Danishevskyy, Vladyslav

ウェブストア価格 ¥12,917（本体¥11,743）
CRC Press（2023/05発売）
外貨定価 US$ 61.99
ポイント 117pt

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製本 Paperback:紙装版/ペーパーバック版／ページ数 232 p.
言語 ENG
商品コード 9780367704131
DDC分類 530.411

Full Description

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials.

Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book's cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices.

The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.

1. Models and Methods of Research of Elastic Waves in Nonlinear and Nonhomogeneous Materials.
2. Waves in Layered Materials: Linear Problems
3. Waves in Fibre Composites: Linear Problems
4. Longitudinal Waves in Layered Composite Material with Account of Physical and Geometrical Nonlinearity
5. Antiplane ShearWaves in Fibre Composite. Structural Nonlinearity
6. Formation of Localized NonlinearWaves in Fibre Composite Material
7. Vibration Localization in 1D Linear and Nonlinear Lattices: Discrete and Continuous Models
8. Spatial Localization of Linear Elastic Waves in Composite Materials With Defects
9. Non-Linear Vibrations of Viscoelastic Heterogeneous Solids of Finite Size: Internal Resonances and Modes Interactions
10. Nonlocal, Gradient and Local Models of Elastic Media: 1D Case
11. Regular and Chaotic Dynamics Based on Continualization and Discretization