CiNii 図書 - Boundary elements XIII

Since its origin in 1978, the International Conference on Boundary Element Methods has provided the recognized and established forum for innovations in boundary element research. Practically all new ideas on boundary ele ments have been presented at these conferences and the resulting papers can be found in the published books. The conference brings together the most renowned scientists and engineers working on boundary element research throughout the world. A unique feature of these meetings is that the participation of younger researchers is actively encouraged by the organizers in an effort to .bring forward to the attention of the international community an ever expanding range of new ideas. This book contains the edited version of the papers presented at the XIIIth BEM Conference held in Tulsa, Oklahoma in August of 1991. The meeting attracted a large number of participants and many excellent contributions which have been divided into nineteen different sections, i.e. Potential Prob lems; Diffusion and Convection Problems; Fluid Mechanics; Fluid Flow; Wave Propagation; Groundwater Flow; Heat Transfer; Electrical Problems; Geomechanics; Plates and Shells; Inelastic Problems; Damage Tolerance; Contact Mechanics; Industrial Applications; Design Sensitivity and Opti mization; Inverse Problems; Special Techniques; Numerical Aspects and Computational Aspects.

Section 1: Potential Problems.- Treatment of Corners in the Complex Variable Boundary Element Method.- On Using the Delta-Trigonometric Method to Solve the 2-D Neumann Potential Problem.- Non-Linear Material Problems with BEM: Dual Reciprocity v. The Kirchhoff Transformation.- Boundary Integral Equations for a Class of Nonlinear Problems by the Kirchhoff Transformation.- Green's Functions for Helmholtz and Laplace Equations in Heterogeneous Media.- Section 2: Diffusion and Convection Problems.- A Study of Flow Structures in a Cavity due to Double-Diffusive Natural Convection by Boundary Element Method and Sub-Domain Technique.- The Laplace Transform Boundary Element (LTBE) Method for the Solution of Diffusion-Type Equations.- Solution of Variable Coefficients PDEs by Means of BEM and Perturbation Technique.- Section 3: Fluid Mechanics.- Explicit Forms of the Fundamental Solution Tensor and Singular Integrals for the 2D Primitive-Variables Navier-Stokes Formulation.- Lagrangian Approach of BEM for Incompressible Unsteady Viscous Flow.- Regular Perturbations for the Exterior Three-Dimensional Slow Viscous Flow Problem.- A Boundary Element Study of the Motion of Rigid Particles in Internal Stokes Flow.- Boundary Element Methods for Nonstationary Stokes Problem in Three Dimensions and Their Convergence Analysis.- The Motion of a Semi-Infinite Bubble between Parallel Plates.- Moving Boundary Free Flow with Viscosity by BEM.- Section 4: Fluid Flow.- Panel Methods and Their Applications to Sailboard Technology.- Application of the Integral Equation Method to Flows Around a Wing with Circular-Arc Section.- A Variational Symmetric Boundary Element Formulation for Fluid-Structure Interaction Problems.- Calculation of Two-Dimensional Potential Cascade Flow Using an Indirect Boundary Element Method.- A Combined Two- and Three-Dimensional Boundary Element Method for the Flow over a Train in a Cross-Wind at Large Angles of Attack.- Section 5: Wave Propagation.- Numerical Study of Surface Waves in Channels.- Water Wave Modeling Using a Boundary Element Method with Overhauser Spline Elements.- Section 6: Groundwater Flow.- Boundary Element Formulation for Time Harmonic Poroelastic Problems.- Saltwater Intrusion in Leaky Aquifers Modelled with B-Spline Elements.- 2-D Steady State and Transient Analysis of Salt Water Intrusion into Coastal Aquifers by a Direct Time Domain BEM.- Section 7: Heat Transfer.- Boundary Element Solution of Combined-Mode Heat Transfer in Radiatively Participating Media.- Computational Aspects of the Boundary Element Method Applied to Frictional Heating.- Thermal Simulations of Semiconductor Chips Using BEM.- Application of the Complex Variable Boundary Element Method to the Solution of Heat Conduction Problems in Doubly and Multiply Connected Domains.- Section 8: Electrical Problems.- Comparison of Pure and Coupled BEM Methods for the Study of a Thin Plate Induction Oven.- Hybrid Boundary Integral Equation Method for Charge Injection and Transport in Electroreceptors.- Corner Modelling for BEM in Magnetostatic.- Application of Boundary Element and Characteristic Methods for Modelling of Corona Fields.- Section 9: Geomechanics.- Boundary Integral Techniques for Stochastic Problems in Geomechanics.- Frequency Domain BE Calculations and Interferometry Measurements in Geomechanics.- Foundation-Soil-Foundation Dynamics Using a 3-D Frequency Domain BEM.- Seismic Waves in an Impacted Half-Space: Time Domain BEM Versus the Method of Generalized Ray.- Seismic Response of Soil-Structure-Interaction Problems Under Unilateral Contact Conditions.- The Three-Dimensional Dynamic Displacement Discontinuity Method.- Section 10: Plates and Shells.- A Boundary Element Technique on the Solution of Cylindrical Shell Bending Problems.- An Indirect Boundary Element Method for Plate Bending Problems.- A New Regularized Boundary Integral Formulation for Thin Elastic Plate Bending Analysis.- An Integral Equation Formulation for the Boundary-Finite Element Model in Stiffened Plate Bending.- A Modified Local Green's Function Technique for the Mindlin's Plate Model.- Boundary Elements and Perturbation Theory for Vibrating Plates.- Section 11: Inelastic Problems.- DBEM Analysis of Beams on Modified Elastoplastic Winkler Foundation.- A Simple Integral Equation Method for the Viscoelastic Quasistatic Analysis of Vertically Loaded Pile.- Section 12: Damage Tolerance.- Parametric Continuous Crack Tip Boundary Elements in Two-Dimensional Linear Elastic Fracture Mechanics.- First and Second Order Weight Functions for Mixed-Mode Crack Problems.- The Calculation of Energy Release Rates in Composite Laminates using the Boundary Element Method.- Section 13: Contact Mechanics.- Numerical Solution of Thermoelastohydrodynamic Contact Problems by the Boundary Element Method.- Development of Contact Stress Analysis Programs Using the Hybrid Method of FEM and BEM.- Three Dimensional Frictional Conforming Contact Using B.E.M..- A Direct Solution to the BEM and Mathematical Programming Approach for Frictional Constant Contact Problems.- Section 14: Industrial Applications.- New Directions in the BEASY Boundary Element Method Software.- Integrated Computer Aided Surface Modeling and BEM Analysis.- Stress Analysis of the Turbine Rotor Disk by the Axisymmetric Boundary Element Method.- 3-D Spline Boundary Element Method for the Analysis of Sluice.- Section 15: Design Sensitivity and Optimization.- Local Shape Optimization Using Boundary Element Zooming Method.- A Modified Finite Difference Method to Shape Design Sensitivity Analysis.- Two Continuous Approaches with Boundary Representation to Shape Sensitivity Analysis.- Application of the EBP-BEM to Optimizing the Cavity of Large Aluminum Reduction Cells.- Section 16: Inverse Problems.- Identification of Defects by the Elastodynamic Boundary Element Method Using Noisy Additional Information.- The Solution of a Nonlinear Inverse Elliptic Problem by the Boundary Element Method.- Section 17: Special Techniques.- The Method of Infinite Matrices - An Alternative to BEM?.- Robust Boundary Element Scheme for Helmholtz Eigenvalue Equation.- Solution of Singular Potential Problems by the Modified Local Green's Function Method (MLGFM).- Boundary Element Analysis of Reinforced Concrete Members.- Section 18: Numerical Aspects.- Consistent Regularization of Both Kernels in Hypersingular Integral Equations.- Effective Iterative Solution Methods for Boundary Element Equations.- A New Approach Treating Corners in Boundary Element Method.- An Overview of Integration Methods for Hypersingular Boundary Integrals.- Section 19: Computational Aspects.- Conforming and Non-Conforming Elements in a Three-Dimensional H-Adaptive Boundary Element Method.- P-Version of the Boundary Element Method for Elastostatic Problems.- Application of Overhauser C1 Continuous Boundary Elements to "Hypersingular" BIE for 3-D Acoustic Wave Problems.- A Multigrid-Based Boundary Element Method Without Integral Equations.- Fundamental Solution for Two-Dimensional Microelastic Body.- The Boundary Element Method on a Transputer Network.- A Direct and Natural Coupling of BEM and FEM.- Application of Sub-element Technique for Improving the Interior Displacement and Stress Calculations by Using the Boundary Element Method.- The Hybrid Boundary Element Method for Problems Involving Body Forces.- Numerical Implementation of a Normal Derivative Integral Equation in Acoustics.- Authors' Index.

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Boundary elements XIII

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