
Advances in Applied Mechanics
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Content
- Front Cover
- Advances in Applied Mechanics, Volume 14
- Copyright Page
- Contents
- List of Contributors
- Preface
- Chapter 1. Theory of Buckling and Post-Buckling Behavior of Elastic Structures
- I. Introduction
- II. Simple Models
- III. Functional Notation, Variational Calculus, and Frechet Derivatives
- IV. Energy Approach
- V. Stress, Strain, Displacement: Virtual-Work Approach
- VI. Mode Interaction
- References
- Chapter 2. Plastic Buckling
- I. Introduction
- II. Simple Models
- III. Bifurcation Criterion
- IV. Initial Post-Bifurcation Behavior for Donnell-Mushtari-Vlasov Theory
- V. Numerical Examples
- References
- Chapter 3. Multistructured Boundary Layers on Flat Plates and Related Bodies
- I. Introduction
- II. The Basic Flow
- III. The Triple Deck
- IV. The Fundamental Equation of the Triple Deck
- V. Transonic Free Interaction
- VI. Free Interactions in Supersonic Flow
- VII. Expansive Free Interactions
- VIII. Compressive Free Interactions
- IX. The Plateau
- X. Comparison with Experiment
- XI. Convex Corners in Supersonic Flow
- XII. Injection into the Supersonic Boundary Layer
- XIII. The Trailing Edge of a Symmetrically Disposed Flat Plate
- XIV. Trailing-Edge Flows for Bodies with Finite Thickness
- XV. Viscous Correction to Lift
- XVI. Catastrophic Separation
- XVII. Addendum
- References
- Chapter 4. Response Curves for Plane Poiseuille Flow
- I. Introduction
- II. The Solution of the Basic Equations for Laminar Poiseuille Flow
- III. Global Stability of Laminar Poiseuille Flow
- IV. The Fluctuation Motion and the Mean Motion
- V. Steady Causes and Stationary Effects
- VI. Laminar and Turbulent Comparison Theorems
- VII. Turbulent Plane Poiseuille Flow-An Upper Bound for the Response Curve
- VIII. The Response Function near the Point of Bifurcation
- IX. Some Properties of the Bifurcating Solution
- X. Inferences and Conjectures
- Appcndix: A Formal Bifurcation Theory for Nearly Parallel Flows
- References
- Chapter 5. The Theory of Polar Fluids
- I. Introduction
- II. Foundations of the Theory
- III. Related Theories
- Note Added in proof
- References
- Author Index
- Subject Index
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