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

Book Details

• Publisher: [Publisher Name, if provided]

• Author: Igor V. Andrianov

• Language: English

• Edition: 1

• ISBN: 9780367704131

• Pages: 232

• Cover: Paperback

• Dimensions: 8.3 x 6.0 x 0.6 inches

About The Book

Asymptotic Methods in Mechanics by Igor V. Andrianov offers a detailed exploration of asymptotic techniques used to obtain simple, approximate analytic solutions to complex mechanical problems, with a focus on wave processes in heterogeneous materials. Drawing upon years of research, this book presents original solutions to common issues in mechanics, demonstrating the effectiveness of asymptotic methods in mechanical engineering and material science.

The text delves into both linear and nonlinear wave phenomena in complex micro-structured solids, providing a comprehensive analysis of their global characteristics. By examining the internal structure of these materials, Andrianov introduces cutting-edge methods such as homogenization and asymptotic procedures, reflecting the latest advancements in the field. These innovative techniques offer valuable alternatives to traditional numerical methods and can be applied in areas such as optimal design, non-destructive control, and deep seismic sounding.

Using real-world case studies, the book covers topics like elastic waves in nonhomogeneous materials, regular and chaotic dynamics, continualisation and discretization, and vibration localization in 1D linear and nonlinear lattices. The book is ideal for students, research engineers, and professionals specializing in mathematics, physics, mechanical engineering, and civil engineering.