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001373435 020__ $$a9781000372199$$q(electronic book)
001373435 020__ $$a1000372197$$q(electronic book)
001373435 020__ $$a9781003146162$$q(electronic book)
001373435 020__ $$a1003146163$$q(electronic book)
001373435 020__ $$a9781000372212$$q(electronic book)
001373435 020__ $$a1000372219$$q(electronic book)
001373435 020__ $$z0367704129
001373435 020__ $$z9780367704124
001373435 0248_ $$a10.1201/9781003146162$$2doi
001373435 040__ $$aNhCcYBP$$cNhCcYBP
001373435 050_4 $$aTA407
001373435 08204 $$a530.411$$223
001373435 1001_ $$aAndrianov, Igor V.
001373435 24510 $$aLinear and nonlinear waves in microstructured solids :$$bHomogenization and asymptotic approaches.
001373435 260__ $$a[S.l.] :$$bCRC PRESS,$$c2021.
001373435 300__ $$a1 online resource.
001373435 336__ $$atext$$2rdacontent
001373435 336__ $$astill image$$2rdacontent
001373435 337__ $$acomputer$$2rdamedia
001373435 338__ $$aonline resource$$2rdacarrier
001373435 5050_ $$a1 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 withStructural 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 Materials With Defects 8.1 Introduction 8.2 Wave localization in a layered composite material:transfer-matrix method  8.3 Wave localization in a layered composite material: lattice approach 8.4 Antiplane shear waves in a fibre composite 9 Non-Linear Vibrations of Viscoelastic Heterogeneous Solids of Finite Size 9.1 Introduction 9.2 Input problem and homogenised dynamical equation 9.3 Discretization procedure 9.4 Method of multiple time scales 9.5 Numerical simulation of the modes coupling 9.6 Concluding remarks 10 Nonlocal, Gradient and Local Models of Elastic Media: 1D Case 10.1 Introduction 10.2 A chain of elastically coupled masses 10.3 Classical continuous approximations 10.4 "Splashes" 10.5 Envelope continualization 10.6 Intermediate continuous models 10.7 Using of Pade approximations 10.8 Normal modes expansion 10.9 Theories of elasticity with couple-stresses 10.10 Correspondence between functions of discrete argumentsnand approximating analytical functions 10.11 The kernels of integro-differential equations of the discrete and continuous systems 10.12 Dispersive wave propagation 10.13 Green's function 10.14 Double- and triple- dispersive equations 10.15Toda lattice 10.16Discrete kinks 10.17Continualization of b-FPU lattice 10.18Acoustic branch of a-FPU lattice 10.19Anti-continuum limit 10.202D lattice 10.21 Molecular dynamics simulations and continualization: handshake 10.22 Continualization and discretization 10.23Possible generalization and applications and open problems 11 Regular and Chaotic Dynamics Based on Continualization and Discretization 11.1 Introduction 11.2 Integrable ODE 11.3 Continualization with Pade approximants 11.4 Numerical results References Index
001373435 506__ $$aAccess limited to authorized users
001373435 533__ $$aElectronic reproduction.$$bAnn Arbor, MI$$nAvailable via World Wide Web.
001373435 650_0 $$aMicrostructure.
001373435 650_0 $$aWave-motion, Theory of.
001373435 650_0 $$aAsymptotic expansions.
001373435 650_0 $$aHomogenization (Differential equations)
001373435 655_0 $$aElectronic books
001373435 7001_ $$aAwrejcewicz, J.$$q(Jan)
001373435 7001_ $$aDanishevskyy, Vladyslav.
001373435 7102_ $$aProQuest (Firm)
001373435 77608 $$iPrint version:$$z0367704129$$z9780367704124
001373435 852__ $$bebk
001373435 85640 $$3GOBI DDA$$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=6512495$$zOnline Access
001373435 909CO $$ooai:library.usi.edu:1373435$$pGLOBAL_SET
001373435 980__ $$aBIB
001373435 980__ $$aEBOOK
001373435 982__ $$aEbook
001373435 983__ $$aOnline