Linear and Nonlinear Waves in Microstructured Solids
Homogenization and Asymptotic Approaches
Igor V. Andrianov ; Jan Awrejcewicz ; Vladyslav Danishevskyy
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. Les mer
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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.
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Utgitt:
2021
Forlag: CRC Press
Innbinding: Innbundet
Språk: Engelsk
Sider: 232
ISBN: 9780367704124
Format: 23 x 16 cm
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Jan Awrejcewicz is a Head of the Department of Automation, Biomechanics and Mechatronics at Lodz University of Technology, Head of Ph.D. School on 'Mechanics' (since 1996) and of graduate/postgraduate programs on Mechatronics (since 2006). He is also recipient of Doctor Honoris Causa (Honorary Professor) of Academy of Arts and Technology (Poland, Bielsko-Biala, 2014) and of Czestochowa University of Technology (Poland, Czestochowa, 2014), Kielce University of Technology (2019), National Technical University "Kharkiv Polytechnic Institute" (2019), and Gdańsk University of Technology (2019). His papers and research cover various disciplines of mechanics, material science, biomechanics, applied mathematics, automation, physics and computer oriented sciences, with main focus on nonlinear processes.
Vladyslav V Danishevskyy is Professor at Prydniprovska State Academy of Civil Engineering and Architecture, Ukraine. His research area includes mechanical and physical properties of composite materials, metamaterials and heterogeneous structures; non-linear dynamics; waves in heterogeneous media; asymptotic methods.