rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Linear and nonlinear waves in microstructured solids
    sub title: homogenization and asymptotic approaches
  name:
    name part: Andrianov, I. V. (Igorʹ Vasilʹevich)
    name part: 1948-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Awrejcewicz, J. (Jan)
    role:
      role term: author.
  name:
    name part: Danishevskyy, Vladyslav
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: 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.
  table of contents: 1 Models and Methods to Study Elastic Waves 1.1 Brief literature overview 1.2 Small "tutorial" 1.3 Analytical and numerical solutions in the theory of composite materials 1.4 Some general results of the homogenization theory 2 Waves in Layered Composites: Linear Problems 2.1 One-dimensional (1D) dynamic problem 2.2 Higher order homogenization method 2.3 The Bloch-Floquet method and exact dispersion equation 2.4 Numerical results 3 Waves in Fibre Composites: Linear Problems 3.1 Two-dimensional (2D) dynamic problem 3.2 Method of higher order homogenization 3.3 The Bloch-Floquet method and solution based on Fourier series 3.4 Numerical results 3.5 Shear waves dispersion in cylindrically structured cancellous viscoelastic bones 4 Longitudinal Waves in Layered Composites 4.1 Fundamental relations of nonlinear theory of elasticity 4.2 Input boundary value problems 4.3 Macroscopic wave equation 4.4 Analytical solution for stationary waves 4.5 Analysis of solution and numerical results 5 Antiplane ShearWaves in Fibre Composites with Structural Nonlinearity 5.1 Boundary value problem for imperfect bonding conditions. 5.2 Macroscopic wave equation 5.3 Analytical solution for stationary waves 5.4 Analysis of solution and numerical result 6 Formation of Localized Nonlinear Waves in Layered Composites 6.1 Initial model and pseudo-spectral method 6.2 The Fourier-Pade approximation 6.3 Numerical modeling of non-stationary nonlinear waves 7 Vibration Localization in 1D Linear and Nonlinear Lattices 7.1 Introduction 7.2 Monatomic lattice with a perturbed mass 7.3 Monatomic lattice with a perturbed mass -- the continuous approximation 7.4 Diatomic lattice 7.5 Diatomic lattice with a perturbed mass 7.6 Diatomic lattice with a perturbed mass -- the continuous approximation 7.7 Vibrations of a lattice on the support with a defect 7.8 Nonlinear vibrations of a lattice 7.9 Effect of nonlinearity on pass bands and stop bands 8 Spatial Localization of Linear Elastic Waves in Composite Mater…
  note: Igor V. Andrianov, Jan Awrejcewicz, Vladyslav Danishevskyy.
  note: Includes bibliographical references and index.
  note: Igor Andrianov is Professor with 25 years of experience in Mathematics, Applied Mechanics and Mechanics of Solids. Researcher with 41 years of experience in Applied Mathematics and Mechanics of Solids. Supervisor of 18 Ph.D. students. Research interests: Asymptotic Approaches, Nonlinear Dynamics, Composite Materials, Theory of Plates and Shells. 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.
  subject:
    topic: Microstructure
  subject:
    topic: Wave-motion, Theory of
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Homogenization (Differential equations)
  subject:
    topic: Microstructure (Physique)
  subject:
    topic: Théorie du mouvement ondulatoire
  subject:
    topic: Développements asymptotiques
  subject:
    topic: Homogénéisation (Équations différentielles)
  subject:
    topic: microstructure
  subject:
    topic: TECHNOLOGY
    topic: Engineering
    topic: Mechanical
  subject:
    topic: TECHNOLOGY
    topic: Material Science
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Homogenization (Differential equations)
  subject:
    topic: Microstructure
  subject:
    topic: Wave-motion, Theory of
  classification: TA407 .A53 2021
  classification: 530.4/11
  related item:
    identifier: (OCoLC)1202756202
  identifier: 9781000372199
  identifier: 1000372197
  identifier: 9781003146162
  identifier: 1003146163
  identifier: 9781000372212
  identifier: 1000372219
  identifier: 0367704129
  identifier: 9780367704124
  identifier: 2021762215
  identifier: 9781003146162 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 210312
    record change date: 20241108170010.9
    record identifier: in00005524851
    language of cataloging:
      language term: eng