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

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems in mechanics, particularly wave processes in heterogeneous materials. It demonstrates the benefits of implementing asymptotic techniques in mechanical engineering and material science, focusing on linear and nonlinear wave phenomena in complex micro-structured solids. The methodology can be applied to optimal design, non-destructive control, and deep seismic sounding, providing a valuable alternative to numerical methods.

Format: Hardback
Length: 232 pages
Publication date: 23 April 2021
Publisher: Taylor & Francis Ltd

This comprehensive book employs asymptotic methods to derive concise and accurate analytic solutions to a wide range of problems within mechanics, particularly focusing on wave processes in heterogeneous materials. Through extensive research and rigorous analysis, the author showcases the remarkable benefits of incorporating asymptotic techniques into mechanical engineering and material science. The book delves into linear and nonlinear wave phenomena in complex micro-structured solids, employing homogenization and asymptotic procedures to ascertain their global characteristics. This approach aligns with the latest developments in the field. By leveraging its cutting-edge methodology, the book offers a valuable alternative to commonly used numerical methods in optimal design, non-destructive control, and deep seismic sounding. Through case studies, the book covers diverse topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualization and discretization, and vibration localization in 1D Linear and Nonlinear lattices. This book is of immense interest to students, research engineers, and professionals specializing in mathematics, physics, mechanical, and civil engineering. Its comprehensive coverage and insightful methodologies make it a valuable resource for advancing knowledge and solving complex mechanical problems.

Weight: 520g
Dimension: 160 x 242 x 20 (mm)
ISBN-13: 9780367704124