Theoretical and Applied Mechanics : Proceedings of the XVIth International Congress of Theoretical and Applied Mechanics Held in Lyngby, Denmark, 19-25 August 1984.

Front Cover -- Theoretical and Applied Mechanics -- Copyright Page -- Table of Contents -- Preface -- CONGRESS COMMITTEE OF IUTAM -- LOCAL ORGANIZING COMMITTEE -- LIST OF AUTHORS OF PAPERS IN THIS VOLUME -- LIST OF PARTICIPANTS -- REPORT ON THE CONGRESS -- CHAPTER 1. SPACE RESEARCH AND THE NEW APPROACH TO THE MECHANICS OF FLUID MEDIA IN COSMOS -- 1.0 NEW OBSERVATIONS -- 2.0 NEW UNDERSTANDING -- 3.0 NEW APPROACH TO COSMOGONY -- 4.0 SCENARIO OF THE SATURNIAN RING FORMATION -- 5.0 CONCLUSIONS ABOUT THE PLASMA-PLANETESIMAL TRANSITION -- 6.0 SUMMARY OF THE PROCESSES NECESSARY TO UNDERSTAND THE EVOLUTION OF THE SOLAR SYSTEM -- 7.0 REFERENCES -- CHAPTER 2. COMPUTERS AND CHAOS IN MECHANICS -- 1. INTRODUCTION -- 2. SOME PROGRESS DUE TO COMPUTERS -- 3. ANALYTICAL RESULTS ON NON-INTEGRABLE SYSTEMS -- 4. COMPUTERS AND CHAOS -- 5. CONCLUSION -- REFERENCES -- CHAPTER 3. CHAOS IN THE DYNAMICS OF A FEW VORTICES -FUNDAMENTALS AND APPLICATIONS -- 1. ON VORTICES AND VORTICISTS -- 2. THE DYNAMICS OF POINT VORTICES -- 3. INTEGRABILITY OR CHAOS -- 4. SOME CONCESSIONS TO REALISM -- 5. CHAOTIC MOTION OF FOUR VORTICES -- 6. BOUNDARY-INDUCED CHAOS -- 7. THE RESTRICTED PROBLEM -- REFERENCES -- CHAPTER 3. RESONANT PHENOMENA IN ROTATIONAL MOTIONS OF ARTIFICIAL AND NATURAL CELESTIAL BODIES -- 1. INTRODUCTION -- 2· RESONANCES IN ROTATIONAL MOTIONS OF CELESTIAL BODIES -- 3· ON CASSINI'S LAWS OF THE MOON MOTION -- 4. ON MERCURY'S ROTATION -- 5· THE GENERALIZED LAWS OF CASSINI -- 6. VENUS -- 7. EXTREMAL PROPERTIES OF RESONANT MOTIONS -- 8. CONCLUDING REMARKS -- 9· ACKNOWLEDGEMENT -- REFERENCES -- CHAPTER 4. QUANTUM,CLASSICAL AND SEMICLASSICAL ADIABATICITY -- INTRODUCTION -- ADIABATIC THEOREMS -- ADIABATIC ANHOLONOMY -- DEGENERACY -- QUANTUM AND CLASSICAL ADIABATIC DISCORDANCE -- REFERENCES -- CHAPTER 5. ASPECTS OF NONLINEAR ACOUSTICS -- INTRODUCTION -- HISTORICAL DEVELOPMENT.

FINITE-AMPLITUDE WAVE PROPAGATION OF TODAY -- BURGERS' EQUATION -- THE WEAK-SHOCK THEORY -- PROPAGATION IN A RELAXING FLUID -- EXPERIMENTAL STUDIES -- UNDERWATER APPLICATIONS OF NONLINEAR ACOUSTICS -- BIOMECHANICAL APPLICATIONS OF NONLINEAR ACOUSTICS -- CONCLUSIONS -- REFERENCES -- CHAPTER 6. HYDRODYNAMIC LOADS ON MARINE STRUCTURES -- INTRODUCTION -- SHIP MOTIONS AT FORWARD SPEED -- SLOWLY VARYING AND MEAN WAVE LOADS -- SEPARATED FLOW PROBLEMS -- CONCLUSIONS -- REFERENCES -- CHAPTER 7. THE RECOVERY OF OIL FROM UNDERGROUND RESERVOIRS -- DISCLAIMER -- OTL RESERVOIRS -- STAGES OF OIL RECOVERY -- MULTIPHASE FLOW THROUGH A POROUS MEDIUM -- MICRO MODELS -- THE MOTION OF THE MENISCUS -- REFERENCES -- CHAPTER 8. ICE AND SNOW MECHANICS A CHALLENGE TO THEORETICAL AND APPLIED MECHANICS -- I. INTRODUCTION -- 2. MATHEMATICAL PREDICTION OF ICE SHEET GEOMETRY -- 3. ON THERMODYNAMICS OF TEMPERATE ICE -- 4. CONVECTION IN THAWING SUBSEA PERMAFROST -- 5. DYNAMICS OF SNOW AND ICE AVALANCHES -- ACKNOWLEDGEMENTS -- References -- CHAPTER 9. NONLINEAR WAVE MOTION ANDHOMOCLINIC BIFURCATION -- 1. Introduction -- 2. The Reduction Principle -- 3. Internal Waves -- 4. Surface Waves and External Waves -- REFERENCES -- CHAPTER 10. FROM PERIODICITY TO CHAOS IN HYDRODYNAMIC SYSTEMS -- INTRODUCTION -- PERIOD DOUBLING SEQUENCE -- INTERMITTENCY -- FROM QUASIPERIODICITY TO CHAOS VIA A SCALING ROUTE -- OTHER CHAOTIC ROUTES, FROM QUASIPERIODICITY -- ACKNOWLEDGEMENT -- REFERENCES -- CHAPTER 11. CONTINUM RMULATIONS FOR STOCHASTIC MULTICOMPONENT SYSTEMS -- INTRODUCTION -- A FORMULATION ON THE AVERAGED RESPONSE FIELD -- BOUNDING EFFECTIVE MATERIAL PROPERTY MEASURES -- SUMMARY -- REFERENCES -- CHAPTER 12. RECENT STUDIES ON OCEAN WAVE SPECTRA -- INTRODUCTION -- SPECTRAL MODEL OF OCEAN SURFACE WAVES -- GROWTH OF THE WAVE SPECTRUM -- FETCH RELATIONS FOR SPECTRAL PARAMETERS -- CONCLUDING REMARKS.

REFERENCES -- CHAPTER 13. NUMERICAL AND ANALYTICAL ASPECTS OF HELMHOLTZ INSTABILITY -- 1 INTRODUCTION -- 2 NUMERICAL ASPECTS OF THE INITIAL-VALUE PROBLEM -- 3 ILL-POSEDNESS AND SMOOTHING -- 4 THE FORMATION OF A SINGULARITY -- REFERENCES -- CHAPTER 14. HYDRODYNAMIC SYNTHESIS OF MARINE STRUCTURES -- INTRODUCTION -- GENERAL CONSIDERATIONS -- FIRST ORDER HEAVING RESPONSE OF SEMISUBMERSIBLES -- RESPONSE OF TENSION LEG PLATFORMS -- LOW AND HIGH FREQUENCY WAVE FORCES -- CONCLUSIONS -- REFERENCES -- CHAPTER 15. STRUCTURAL DESIGN OF MARINE STRUCTURES -- INTRODUCTION -- WAVE-INDUCED LOADING -- RESPONSE -- DESIGN CRITERIA -- CONCLUSIONS -- REFERENCES -- CHAPTER 16. HYDROELASTICITY OF MARINE STRUCTURES -- INTRODUCTION -- GENERALISED EQUATIONS OF MOTION -- AXES AND GENERAL FORMULATION -- RIGID BODY MOTIONS - FLUID ACTIONS -- FLEXIBLE BODY THEORY -- PRINCIPAL COORDINATES AND DISPLACEMENTS -- VELOCITY POTENTIAL -- GENERALISED TIMMAN-NEWMAN RELATIONSHIPS -- LINEARISED FLEXIBLE BOUNDARY CONDITIONS -- PRESSURE DISTRIBUTION -- GENERALISED FLUID FORCES -- GENERALISED WAVE FORCE -- GENERALISED RADIATION FORCE -- GENERALISED RESTORING FORCE -- GENERALISED EQUATIONS OF MOTION -- STEADY EQUATIONS -- FLOATING (FREE-FREE STRUCTURE) -- FIXED (CLAMPED, PINNED ETC. STRUCTURES) -- MODIFICATIONS (MOORING LINES, NON-LINEARITIES ETC.) -- COMPUTATIONS AND EXAMPLES -- CONCLUSIONS -- ACKNOWLEDGEMENTS -- REFERENCES -- CHAPTER 17. NON-CLASSICAL MATERIAL CONTINUA -- 1 . INTRODUCTION -- 2. CLASSICAL CONTINUUM -- 3. NON-CLASSICAL MODIFICATIONS -- 4. NONLOCAL ELASTICITY -- 5. PSEUDOCONTINUUM -- 6, A FIELD MODEL OF COHESIVE FORCES AND NONLOCALLY COUPLED MULTICONTINUA -- REFERENCES -- CHAPTER 18. THREE DIMENSIONAL STABILITY AND BIFURCATION OF STEADY WATER WAVES -- INTRODUCTION -- INSTABILITY OF FINITE AMPLITUDE WATER WAVES -- SPONTANEOUS THREE DIMENSIONAL WAVES OF PERMANENT FORM.

REFERENCES -- CHAPTER 19. YIELD-STRENGTH OF ANISOTROPIC SOILS -- 1 - THE ORIGIN OF A CONCEPT -- 2 - STABILITY ANALYSIS METHODS -- 3 - OUTLINES OF THE YIELD-DESIGN THEORY -- 4 - YIELD-STRENGTH ANISOTROPY OF NATURAL SOILS -- 5 - STABILITY ANALYSIS OF ANISOTROPIC NATURAL SOIL STRUCTURES -- 6 - SOIL REINFORCEMENT AND ANISOTROPY -- 7 - CONCLUSION -- REFERENCES -- CHAPTER 20. VEHICLE SYSTEM DYNAMICS -- INTRODUCTION -- DYNAMICS OF MULTIBODY SYSTEMS -- GUIDEWAY MODELING -- HUMAN SENSATION OF VIBRATIONS -- COVARIANCE ANALYSIS OF STOCHASTIC SYSTEMS -- CONCLUSION -- REFERENCES -- CHAPTER 21. FLOW FIELD VISUALIZATION -- INTRODUCTION -- VISUALIZATION OF STREAMLINES -- VISUALIZATION OF PARTICLE PATHS -- VISUALIZATION OF STREAKLINES -- VISUALIZATION OF VORTEX MOTIONS -- VISUALIZATION OF TIMELINES -- VISUALIZATION OF FLOW DIRECTIONS -- VISUALIZATION OF FLOW SEPARATION -- VISUALIZATION OF SURFACE PATTERNS -- VISUALIZATION OF DENSITY DISTRIBUTIONS -- VISUALIZATION OF STRESS DISTRIBUTIONS -- VISUALIZATION OF TURBULENT FLOWS -- CONCLUDING REMARKS -- REFERENCES.

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