Proceedings of the IUTAM Symposium held in Liverpool, UK, 8-11 July 2002
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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 aDomain 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.
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 aDomain 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.
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