Advances in Applied Mechanics
Academic Press
Published on 24. October 2000
378 pages
978-0-08-052660-7 (ISBN)
Description
This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.Mechanics is defined as a branch of physics that focuses on motion and on the reaction of physical systems to internal and external forces.
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Erik van der Giessen | Theodore Y. Wu
Advances in Applied Mechanics: Volume 37
Book
10/2000
Academic Press
€185.70
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Content
- Front Cover
- Advances in Applied Mechanics
- Copyright Page
- Contents
- Contributors
- Preface
- Chapter 1. A Unified Theory for Modeling Water Waves
- I. Introduction
- II. Fully Nonlinear Fully Dispersive (FNFD) Waves in Water of Variable Depth
- III. Boundary Integral Closure
- IV. Modeling FNFD Waves in Water of Uniform Depth
- V. Weakly Nonlinear Fully Dispersive (WNFD) Water Wave Theory
- VI. Weakly Nonlinear Weakly Dispersive (WNWD) Water Wave Models
- VII. Fully Nonlinear Weakly Dispersive (FNWD) Water Wave Models
- VIII. Higher-Order WNWD Long-Wave Models
- IX. Nonlinear Wave-Wave Interactions
- X. Soliton Generation by Resonant Forcing
- XI. Channel Shape Effects on Wave Propagation and Generation
- XII. Conclusion
- Acknowledgments
- References
- Chapter 2. Coastal Hydrodynamics of Ocean Waves on Beach
- I. Introduction
- II. Linear Nondispersive Theory of Oblique Wave Run-Up on Uniform Beach
- III. Lagrangian-Eulerian Hybrid Numerical Method for Run-up Computation
- IV. Nonlinear Effects on Run-Up of Solitary Waves on Parabolic Beaches
- V. Dispersive Effects on Run-Up of Waves on Beach
- VI. Wave-Induced Longshore Current
- VII. Conclusion
- Appendix A. More Comparisons between the Present Results and other Theories
- Acknowledgments
- References
- Chapter 3. Onset of Oscillatory Interfacial Instability and Wave Motions in Bénard Layers
- I. Introduction
- II. Summary of Results and Limitations of the Classical Theories
- III. The Boussinesq Approximation and Surface Deformation
- IV. Appropriate Generalizations of the Classical Theories
- V. Some Recent Results on Patterned Convection
- VI. Further Discussion of Oscillatory Motions: Surface and Internal Waves, and Boundary-Layer Effects
- VII. Nonlinear Waves and Dissipative Solitons
- VIII. Concluding Remarks
- Acknowledgments
- References
- Chapter 4. Role of Cryogenic Helium in Classical Fluid Dynamics: Basic Research and Model Testing
- I. Introduction
- II. Brief Note on Helium
- III. Some Examples of Flows at Very High Rayleigh and Reynolds Numbers
- IV. Need for Studies at Conditions Approaching Ultra-High Parameter Values
- V. Some Considerations about Large-Scale Helium Flows
- VI. Superfluid Helium and the Hypothesis of Vortex-Coupled Superfluidity
- VII. Summary of Instrumentation Development for Helium Turbulence
- VIII. Limitations of Helium as a Hydrodynamic Test Fluid
- IX. Concluding Remarks
- Acknowledgments
- References
- Chapter 5. Recent Advances in Applications of Tensor Functions in Continuum Mechanics
- I. Introduction
- II. Nonlinear Constitutive Equations for Anisotropic Materials
- III. Determination of Scalar Coefficients in Constitutive and Evolutional Equations
- IV. Tensorial Generalization of Uniaxial Relations to Multiaxial States of Stress
- V. Material Tensors of Rank Four
- VI. Damage Tensors and Tensors of Continuity
- VII. Stresses in a Damaged Continuum
- VIII. Comparison with Own Experiments
- References
- Author Index
- Subject Index
