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: Paperback / softback
Length: 232 pages
Publication date: 23 May 2023
Publisher: Taylor & Francis Ltd

This comprehensive book employs asymptotic methods to derive concise approximate analytic solutions for a wide range of problems within mechanics, particularly focusing on wave processes in heterogeneous materials. Through extensive research spanning years, the author presents original solutions to common issues within mechanical engineering and material science. The book's central theme revolves around linear and nonlinear wave phenomena in complex micro-structured solids, with a particular emphasis on determining their global characteristics through an analysis of their internal structure. This analysis is conducted using homogenization and asymptotic procedures, aligning with the latest developments in the field. By leveraging its cutting-edge methodology, the book offers a valuable alternative to widely used numerical methods in optimal design, non-destructive control, and deep seismic sounding.

The book is organized into several chapters, each covering specific topics related to the aforementioned applications. For instance, Chapter 1 delves into elastic waves in nonhomogeneous materials, exploring their propagation and characteristics through the use of homogenization and asymptotic techniques. Chapter 2 examines regular and chaotic dynamics based on continualization and discretization, providing insights into complex systems' behavior. Chapter 3 focuses on vibration localization in 1D Linear and Nonlinear lattices, discussing the mechanisms behind sound propagation and energy dissipation.

Throughout the book, real-world case studies are employed to illustrate the practical applications of the presented methodologies. These case studies cover a diverse range of topics, including the analysis of composite materials, the study of fluid-structure interactions, and the modeling of seismic waves in complex geological formations. By presenting these case studies, the book not only enhances the theoretical understanding of the subject matter but also provides valuable insights into the real-world challenges faced by mechanical and civil engineers.

This book is designed to appeal to a broad audience, including students, research engineers, and professionals specializing in mathematics and physics as well as mechanical and civil engineering. Its comprehensive coverage of asymptotic methods, coupled with practical applications, makes it an invaluable resource for anyone seeking to advance their knowledge in the field of mechanics. Whether you are a novice or an experienced researcher, this book will provide you with the tools and techniques necessary to solve complex problems and make meaningful contributions to the field.

Weight: 462g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367704131