
Advances in Applied Mechanics
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Content
- Front Cover
- Advances in Applied Mechanics, Volume 7
- Copyright Page
- Contents
- Contributors to Volume 7
- Preface
- Chapter 1. Hypersonic Flow Over Slender Bodies Associated with Power-Law Shocks
- I. Introduction
- II. Hypersonic Slender-Body Theory
- III. Flows Associated with Power-Law Shocks
- IV. Flows Associated with Slightly Perturbed Power-Law Shocks
- V. Integral Methods
- VI. Validity of Self-Similar Solutions
- VII. Further Discussion of Integral Methods
- VIII. Concluding Remarks
- Notation
- References
- Addendum
- Chapter 2. The Mathematical Theory of Equilibrium Cracks In Brittle Fracture
- I. Introduction
- II. The Development of the Equilibrium Crack Theory
- III. The Structure of the Edge of an Equilibrium Crack in a Brittle Body
- IV. Basic Hypotheses and General Statement of the Problem of Equilibrium Cracks
- V. Special Problems in the Theory of Equilibrium Cracks
- VI. Wedging
- Dynamic Problems in the Theory of Cracks
- References
- Chapter 3. Plasticity Under Non-Homogeneous Conditions
- I. Physical Foundations
- II. Plane Strain
- III. Particular Solutions
- IV. Elastic-plastic Non-homogeneous Plates
- V. Limit Analysis and Limit Design
- VI. Propagation of Elastic-plastic Waves in a Non-homogeneous Medium
- VII. Other Problems
- References
- Chapter 4. Some Elementary Problems in Magneto-hydrodynamics
- I. Introduction
- II. Basic Equations of Magneto-hydrodynamics
- III. Electromagnetic and Mechanical Effects
- Dimensionless Parameters
- IV. Boundary Conditions
- V. Plane Waves
- VI. Alfvén Waves in Systems of Finite Extent
- VII. Gravity Waves : Rayleigh-Taylor Instability
- VIII. Gravitational Instability: Jeans' Criterion
- IX. Steady Flow between Parallel Planes
- X. Flow due t o an Oscillating- Plane: Rayleigh's Problem
- XI. Steady Two-dimensional Inertial Flow in the Presence of a Magnetic Field
- Appendix A : The Hydromagnetic Energy Equation
- Appendix B : Relativistic Magneto-Hydrodynamics
- Acknowledgements
- References
- Author Index
- Subject Index
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