Advances in Applied Mechanics
Regular price
81.500 KD
inc. VAT
Couldn't load pickup availability
Table of contents
- Contentsv
- Contributorsix
- Prefacexi
- Chapter 1. A Unified Theory for Modeling Water Waves1
- I. Introduction2
- II. Fully Nonlinear Fully Dispersive (FNFD) Waves in Water of Variable Depth7
- III. Boundary Integral Closure20
- IV. Modeling FNFD Waves in Water of Uniform Depth23
- V. Weakly Nonlinear Fully Dispersive (WNFD) Water Wave Theory26
- VI. Weakly Nonlinear Weakly Dispersive (WNWD) Water Wave Models30
- VII. Fully Nonlinear Weakly Dispersive (FNWD) Water Wave Models36
- VIII. Higher-Order WNWD Long-Wave Models40
- IX. Nonlinear Wave–Wave Interactions47
- X. Soliton Generation by Resonant Forcing62
- XI. Channel Shape Effects on Wave Propagation and Generation78
- XII. Conclusion80
- Acknowledgments82
- References82
- Chapter 2. Coastal Hydrodynamics of Ocean Waves on Beach89
- I. Introduction90
- II. Linear Nondispersive Theory of Oblique Wave Run-Up on Uniform Beach95
- III. Lagrangian–Eulerian Hybrid Numerical Method for Run-up Computation118
- IV. Nonlinear Effects on Run-Up of Solitary Waves on Parabolic Beaches127
- V. Dispersive Effects on Run-Up of Waves on Beach134
- VI. Wave-Induced Longshore Current153
- VII. Conclusion157
- Appendix A. More Comparisons between the Present Results and other Theories159
- Acknowledgments163
- References164
- Chapter 3. Onset of Oscillatory Interfacial Instability and Wave Motions in Bénard Layers167
- I. Introduction168
- II. Summary of Results and Limitations of the Classical Theories171
- III. The Boussinesq Approximation and Surface Deformation179
- IV. Appropriate Generalizations of the Classical Theories183
- V. Some Recent Results on Patterned Convection202
- VI. Further Discussion of Oscillatory Motions: Surface and Internal Waves, and Boundary-Layer Effect205
- VII. Nonlinear Waves and Dissipative Solitons212
- VIII. Concluding Remarks227
- Acknowledgments227
- References227
- Chapter 4. Role of Cryogenic Helium in Classical Fluid Dynamics: Basic Research and Model Testing239
- I. Introduction240
- II. Brief Note on Helium243
- III. Some Examples of Flows at Very High Rayleigh and Reynolds Numbers245
- IV. Need for Studies at Conditions Approaching Ultra-High Parameter Values247
- V. Some Considerations about Large-Scale Helium Flows255
- VI. Superfluid Helium and the Hypothesis of Vortex-Coupled Superfluidity260
- VII. Summary of Instrumentation Development for Helium Turbulence265
- VIII. Limitations of Helium as a Hydrodynamic Test Fluid270
- IX. Concluding Remarks271
- Acknowledgments272
- References272
- Chapter 5. Recent Advances in Applications of Tensor Functions in Continuum Mechanics277
- I. Introduction278
- II. Nonlinear Constitutive Equations for Anisotropic Materials280
- III. Determination of Scalar Coefficients in Constitutive and Evolutional Equations296
- IV. Tensorial Generalization of Uniaxial Relations to Multiaxial States of Stress299
- V. Material Tensors of Rank Four309
- VI. Damage Tensors and Tensors of Continuity331
- VII. Stresses in a Damaged Continuum340
- VIII. Comparison with Own Experiments346
- References359
- Author Index365
- Subject Index373
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.
Mechanics is defined as a branch of physics that focuses on motion and on the reaction of physical systems to internal and external forces.