Boundary Element Methods in Applied Mechanics : Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3-6 October 1988.

Front Cover -- Boundary Element Methods in Applied Mechanics -- Copyright Page -- Table of Contents -- Preface -- COMMITTEES -- ORGANIZING COMMITTEE -- LOCAL ORGANIZING COMMITTEE -- SCIENTIFIC ADVISORY COMMITTEE -- PART 1: MATHEMATICAL ASPECTS -- Chapter 1. Heat Conduction Analysis Using Single Layer Heat Potential -- 1. INTRODUCTION -- 2. DIRICHLET PROBLEM IN A NON-SMOOTH DOMAIN -- 3. BOUNDARY INTEGRAL EQUATION OF THE FIRST KIND -- 4. APPROXIMATION ON THE BOUNDARY -- 5. APPROXIMATION IN TIME -- ACKNOWLEDGEMENTS -- REFERENCES -- Chapter 2. A Variational Approach to Boundary Element Methods -- INTRODUCTION -- THE ELASTOSTATIC PROBLEM -- THE ELASTODYNAMIC PROBLEM -- CONCLUSION -- Acknowledgement. -- REFERENCES -- APPENDIX -- Chapter 3. BEM Formulations for Body Forces Using Particular Integrals -- ABSTRACT -- INTRODUCTION -- CENTRIFUGAL FORCES AND SELF-WEIGHT -- FREE-VIBRATION ANALYSIS -- ACOOSTIC EKETFRBCUENCY ANALYSIS -- THERMAL STRESS ANALYSIS -- HLASTOPLASTIC ANALYSIS -- CONCLUSIONS -- REFERENCES -- PART 2: NUMERICAL ASPECTS -- Chapter 4. The Error Estimation of the Boundary Element Method on the Multi-regional and Non-linear Potential Problems -- INTRODUCTION -- THE METHOD OF THE ESTIMATING THE ERROR OF SOLUTION -- THE EVALUATION OF THE DIFFERENCE ηu ON 3-DIMENSIONAL POTENTIAL PROBLEMS -- POISSON EQUATION -- NONLINEAR POISSON TYPE EQUATION -- CONCLUSIONS -- REFERENCES -- Chapter 5. The Use of Continuous Finite Elements in Electron Optics -- ABSTRACT -- KEYWORDS -- INTRODUCTION -- THEORETICAL BACKGROUND -- CONCLUSION -- REFERENCES -- Chapter 6. Comparison of the Boundary Collocation and the Boundary Element Methods -- INTRODUCTION -- TEST PROBLEMS WITH ANALYTICAL SOLUTIONS AND ERROR CRITERIA -- THE BOUNDARY COLLOCATION METHOD -- THE BOUNDARY ELEMENT METHOD -- COMPARISON OF RESULTS AND CONCLUSIONS -- REFERENCES.

Chapter 7. Efficient Numerical Integration for Boundary Integral Methods in Two-dimensional and Axisymmetric Potential Problems -- INTRODUCTION -- BOUNDARY INTEGRAL METHOD -- NUMERICAL INTEGRATION -- COMPUTATION PROCEDURE AND RESULTS -- CONCLUSION -- REFERENCES -- Chapter 8. Improved Galerkin Methods for Integral Equations on Polygons and Polyhedral Surfaces -- Acknowledgements -- REFERENCES -- Chapter 9. A Self-adaptive Boundary Element Technique for 2-D Potential Analysis -- ABSTRACT -- 1. INTRODUCTION -- 2. ERROR ESTIVATION AND REFINEMENT ALGORITHM -- 3. NUMERICAL APPLICATIONS -- 4. CONCLUSIONS -- 5. ACKNOWLEDGEMENTS -- 6. REFERENCES -- Chapter 10. BEASY - An Advanced Boundary Element Analysis System -- 1. INTRODUCTION -- 2. IMPROVED ELEMENT PERFORMANCE -- 3. VOLUME INTEGRALS AND POINT SOURCES -- 4. PRE AND POST PROCESSING FOR BEM -- 5. CONCLUSIONS -- REFERENCES -- PART 3: POTENTIAL PROBLEMS -- Chapter 11. An Analysis of the Axisymmetric Modified Heimholte Equation by Using the Boundary Element Method -- INTRODUCTION -- FUNDAMENTAL SOLUTION -- INTEGRAL EQUATION METHOD -- NUMERICAL PROPERTIES -- NUMERICAL RESULTS -- CONCLUSIONS -- REFERENCES -- PART4: ELASTICITY -- Chapter 12. Application of Advanced BEM Code to Three-dimensional Stress Analysis and Fracture Mechanics Analysis -- INTRODUCTION -- REFERENCES -- Chapter 13. BIEM for Crack Problems and Application to the Fracture Process Zone In Concrete, Ceramics and Rock -- ABSTRACT -- INTRODUCTION -- BIE FOR CRACK PROBLEMS -- APPLICATION TO FRACTURE PROCESS ZONE PROBLEM -- REFERENCE -- Chapter 14. A Fundamental Solution and Boundary Element Method for Torsion Problems of a Bonded Dissimilar Elastic Solid -- ABSTRACT -- 1. INTRODUCTION -- 2. DEFINITION OF THE FUNDAMENTAL SOLUTION -- 3. BASIC E1QUATI0NS -- 4. A FUNDAMENTAL SOLUTION -- 5. APPLICATION TO THE BOUNDARY ELEMENT METHOD.

6. CONCLUDING REMARKS -- REFERENCES -- Chapter 15. 3D-BEM Analysis of Surface Cracks by Supercomputer -- INTRODUCTION -- CHARACTER OF DEVELOPED CODE, BEM3D -- ANALYSIS OF CENTER CRACKED PLATE WITH SMALL LIGAMENT -- ANALYSIS OF PRE AND POST PENETRATION BEHAVIOR OF SURFACE CRACKS -- SUMMARY -- REFERENCES -- Chapter 16. Boundary Integral Equation of a Three-dimensional Semi-infinite Crack -- Abstract -- 1. INTRODUCTION -- 2. REVIEW OF THE BOUNDARY INTEGRAL EQUATION METHOD IN THREEDIMENSIONAL CRACKED CONFIGURATIONS -- 3. INTEGRAL REPRESENTATIONS -- 4. BOUNDARY EQUATION FOR A SEMI-INFINITE THREE-DIMENSIONAL THROUGHCRACK -- 4. CONCLUSIONS -- ACKNOWLEDGEMENTS -- REFERENCES -- APPENDIX A -- Chapter 17. Boundary Element Analysis of the Elastic Contact Problem by a Penalty Function Method -- INTRODUCTION -- Conclusions -- References -- Chapter 18. Boundary Element Analysis of the Stress Intensity Factors for an Interface Crack in Dissimilar Materials -- INTRODUCTION -- BEM USING HETENYI'S FUNDAMENTAL SOLUTION -- NUMERICAL ANALYSES OF CRACK PROBLEMS NEAR THE INTERFACE OF DISSIMILAR MATERIALS -- STRESS INTENSITY FACTORS FOR INTERFACE CRACK -- NUMERICAL RESULTS OF STRESS INTENSITY FACTORS FOR INTERFACE CRACK -- CONCLUSIONS -- REFERENCES -- APPENDIX -- Chapter 19. Fracture Mechanics Research Using the Surface Integral and Finite Element Hybrid Methods -- ABSTRACT -- INTRODUCTION -- THE HYBRID FORMULATION -- RESULTS -- CONCLUSIONS -- ACKNOWLEDGEMENTS -- REFERENCES -- PART 5: ELASTOPLASTICITY -- Chapter 20. Accurate Boundary Element Analysis of Two-dimensional Elasto-plastlc Problems -- INTRODUCTION -- BASIC FORMULATION -- ANALYTICAL PROCEDURE OF SINGULAR DOMAIN INTEGRAL BY APPLYING TRIANGLE POLAR COORDINATES -- ELASTO-PLASTIC ANALYSES BY BEM -- NUMERICAL EXAMPLES AND VERIFICATION OF ACCURACY -- CONCLUDING REMARKS -- REFERENCES -- APPENDIX.

Chapter 21. Symmetrie Formulation of an Indirect Boundary Element Method for Elastic-plastic Analysis and Relevant Extremum Properties -- ABSTRACT -- INTRODUCTION -- SYMMETRICABLE" INDIRECT FORMULATION OF BOUNDARY INTEGRAL EQUATIONS -- GALERKIN DISCRETIZATION OF THE INTEGRAL EQUATIONS AND CONSISTENT DISCRETIZATION OF THE PLASTIC DOMAIN -- EXTREMUM CHARACTERIZATIONS FOR THE DISCRETE ELASTIC-PLASTIC RATE B.V. PROBLEM -- CLOSING REMARKS -- ACKNOWLEDGEMENTS -- REFERENCES -- PART 6: ELASTODYNAMICS -- Chapter 22. Hypersingular Integral Formulas and Wave Scattering with the Boundary Element Method -- INTRODUCTION -- SOME IDEAS ON IMPROPER INTEGRALS -- A WAVE SCATTERING PROBLEM -- NUMERICAL EXAMPLE -- DISCUSSION -- ACKNOWLEDGEMENT -- REFERENCES -- Chapter 23. On a Method to Analyze Scattering Problems of an Inclusion with Spring Contacts -- INTRODUCTION -- BOUNDARY INTEGRAL EQUATIONS -- SPRING EQUATIONS -- CONTACT CONDITIONS -- SYSTEM OF BIEs -- NUMERICAL EXAMPLES -- REFERENCES -- Chapter 24. Elastodynamlc Crack Analysis by BIEM -- 1. INTRODUCTION -- 2. FORMULATION -- 3. NUMERICAL METHODS OF ANALYSIS -- 4. NUMERICAL RESULTS -- 5. CONCLUSION -- REFERENCES -- Chapter 25. Application of BEM to Transient Analysis of a 3-D Crack -- INTRODUCTION -- FORMULATION -- SCATTERED FAR-FIELD -- STRESS INTENSITY FACTOR -- NUMERICAL PROCEDURE -- NUMERICAL EXAMPLE -- REFERENCES -- Chapter 26. Wave Propagation Analysis for the Ground with Dipping Interface and Semi-infinite Layers using a Combined Boundary Element and Finite Element Method -- INTRODUCTION -- NUMERICAL METHOD -- VERIFICATION OF THE PROPOSED METHOD -- NUMERICAL EXAMPLE -- CONCLUDING REMARKS -- REFERENCES -- PART 7: FLUID MECHANICS -- Chapter 27. Boundary Element Method for Salt Water Wedge Diffusion -- INTRODUCTION -- GOVERNING EQUATION -- STEADY STATE ANALYSIS -- UNCOUPLED SYSTEM -- COUPLED SYSTEM.

UNSTEADY STATE ANALYSIS -- UNCOUPLED SYSTEM -- COUPLEP SYSTEM -- REFERENCES -- Chapter 28. Three-dimensional Analysis of a Fresh Water Lens in an Island -- INTRODUCTION -- BASIC EQUATIONS AND BOUNDARY CONDITIONS -- BOUNDARY ELEMENT METHOD -- NUMERICAL EXAMPLE -- CONCLUSIONS -- REFERENCES -- Chapter 29. Boundary Element Solution of a Three-dimensional Convective Diffusion Equation for Large Peclet Numbers -- INTRODUCTION -- REFERENCES -- Chapter 30. The Generalized Boundary Element Approach for Viscous Fluid Flow Problems -- INTRODUCTION -- INITIAL-BOUNDARY VALUE PROBLEMS -- GENERALIZED BOUNDARY ELEMENT APPROACH -- DISCRETIZATION AND SOLUTION PROCEDURE -- NUMERICAL EXAMPLES -- CONCLUSIONS -- REFERENCES -- PART 8: AERODYNAMICS -- Chapter 31. Rotary Wing Aerodynamics Research at UTRC Using the Boundary Element Method -- ABSTRACT -- INTRODUCTION -- GOVERNING EQUATIONS -- INTEGRAL FORMULATIONS -- NUMERICAL FORMULATIONS -- RESULTS -- CONCLUSIONS AND FUTURE PLANS -- ACKNOWLEDGEMENT -- REFERENCES -- Chapter 32. A Potential-Vorticity Decomposition for the Analysis of Viscous Flows -- INTRODUCTION -- FORMULATION OF THE PROBLEM -- NUMERICAL FORMULATION -- NUMERICAL RESULTS -- COMMENTS -- REFERENCES -- PART 9: ELECTROMAGNETICS AND ACOUSTICS -- Chapter 33. Discretization Error in the 3-D Surface Charge Method -- INTRODUCTION -- NUMERICAL PROCEDURES -- ERROR OF POTENTIAL -- ERROR OF CHARGE DENSITY -- CONCLUSION -- REFERENCES -- Chapter 34. Hybrid Boundary Element and Finite Element Analysis of Eddy Current Problems -- ABSTRACT -- INTRODUCTION -- PROBLEM CONFIGURATION AND FUNDAMENTAL EQUATIONS -- Α-Φ FORMULATION -- Η-ψ FORMULATION -- EXAMPLE CALCULATIONS -- CONCLUDING REMARKS -- REFERENCE -- Chapter 35. Doubly Asymptotic Approximations for Electromagnetic Scattering Problems -- INTRODUCTION -- SURFACE INTERACTION RELATIONS.

TIME-HARMONIC SCATTERING IN SPHERICAL COORDINATES.

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