IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Proceedings of the IUTAM Symposium held in Liverpool, United Kingdom, 8–11 July 2002 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Movchan, A. B. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2004.
• Σειρά: Solid Mechanics and Its Applications, 113
• Θέματα: Engineering.; Mechanics.; Continuum mechanics.; Vibration.; Dynamical systems.; Dynamics.; Continuum Mechanics and Mechanics of Materials.; Vibration, Dynamical Systems, Control.

 Wave propagation and scattering -- Asymptotic Analysis of Higher Order Peripheral Modes in Acoustic Wave Scattering by an Elastic Cylinder or Sphere -- Embedding Formulas and Singularities in Acoustic Scattering -- Numerical Investigation of Photonic Crystal Fibers by Spectral and Multipole Methods -- Method of Hyperelliptic Surfaces for Vector Functional-Difference Equations -- Dynamics of Charge Rotators and Lattice Waves in a Plasma Environment -- Propagation of Elastic Waves along Interfaces in Layered Beams -- Low Frequency Band Gaps and Localised Modes for Arrays of Coated Inclusions -- Phononic Band Gap Structures as Optimal Designs -- A Parametric Investigation of the Acoustic Power in a Two-Dimensional Waveguide with Membrane Bounded Cavity -- Vibrations of a Circular Cylinder in Oblique Incidence Revisited -- Asymptotic Analysis of a “Crack” in a Layer of Finite Thickness -- Summation of Gaussian Beams in 3D Problems of Radiation and Scattering of Elastic Waves -- Asymptotics for eigenvalue problems -- Asymptotics for the First Six Eigenfrequencies of a 1D-3D Multi-Structure -- The Two-Term Interior Asymptotic Expansion in the Case of Low-frequency Longitudinal Vibrations of an Elongated Elastic Rectangle -- Transverse Propagating Waves in Perturbed Periodic Structures -- Anti-plane Harmonic Problems for a Class of Elastic Materials with Functional Inhomogeneity -- On Analysing the Performance of a Dissipative Silencer: A Mode-Matching Approach -- Green’s functions and defect modes -- Localized Green’s Functions for a Two-Dimensional Periodic Material -- Boundary Algebraic Equations for Lattice Problems -- Mathematical models of cracks -- Dynamic Perturbation of A Propagating Crack: Implications for Crack Stability -- Dynamic Crack Stability -- A Thermoelasticity Problem in a Domain with an Edge Crack: Asymptotic Analysis -- Methods of Assessment of Thermal Striping Fatigue Damage -- Near-Tip Fields of Mode III Steady-State Crack Propagation in Elastic-Plastic Strain Gradient Solids -- Mode III Interface Crack Lying at Thin Nonhomogeneous Anisotropic Interface. Asymptotics Near the Crack Tip -- Fracture Criterion for Cracks with Bridged Zone -- Models of damage in solids -- Dynamics of Damage in Two-Dimensional Structures With Waiting Links -- Local and Non-Local Approaches to Fatigue Crack Initiation and Propagation -- A Variational Approach to Modelling Initiation of Fracture in NonLinear Elasticity -- Modeling Fracture in Nano Materials -- Boundary Elements and Shear Bands in Incremental Elasticity -- Homogenisation analysis and models of composite media -- Spectral Coupling of Effective Properties of a Random Mixture -- Homogenization Techniques Applied to Earthquake Problems -- Stochastic Homogenisation of Fluid Flows in Heterogeneous Porous Media -- On Micromechanics-Based Nonlocal Modeling of Elastic Matrices Containing Non-Spherical Heterogeneities -- Artificial Ferro-Magnetic Anisotropy: Homogenization of 3D Finite Photonic Crystals -- Homogenized Stiffnesses of Periodic Fibre-Reinforced Composites -- Asymptotic Homogenisation in Strength and Fatigue Durability Analysis of Composites -- Models associated with elastic plates, shells, rods and thin-walled composite structures -- On a Kind of Singular Perturbations for Transmission Problems -- Asymptotics of Laminated Shells. Membrane — Bending Coupling and Numerical Implementation -- Exact Singular Solutions for an Inhomogeneous Thick Elastic Plate -- Stretch, Flexure and Twist in Finite Elasticity -- Asymptotic Analysis of Heat Transfer in a System of Channels Connected by Thin Conducting Walls -- Asymptotics of fields near non-smooth boundaries -- Effect of a Thin Coating on the Stress Singularity at the Vertex of a Thin Conical Inclusion -- 3D Singularities with Applications to Fatigue Crack Growth -- Mathematical models of gas and fluid flows -- A Diffusing Vortex Circle in a Viscous Fluid -- Low Axial Reynolds Number, High Swirl Ratio, Vortex Breakdown in a Slowly Varying Tube -- Supersonic Leading-Edge Noise -- Non-linear waves -- Envelope Equations for Modulated Non-Conservative Waves -- Nonlinear Waves in a Bi-Layer and Coupled Klein-Gordon Equations -- Combustion models -- Nonmodal Instability as the Mechanism of Acceleration of Cellular Flames -- Catalytic Combustion: Making the Connection between the Physical/Chemical Processes and the Mathematical Model of the Reactor -- Asymptotic approximations for orbital perturbations -- The use of Lie Series Generating Functions to Derive Asymptotic Series Expressions for Orbital Perturbations -- Advanced numerical techniques -- Inverse Iteration for Nonlinear Eigenvalue Problems in Electromagnetic Scattering -- Fast Iterative Solution of Coupled 3-Dimensional Fluid-Structure Interaction Problems -- Preconditioning for Finger Pattern Matrices Arising from Wavelet Discretisations of Boundary Integral Equations.