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
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I. IntroductionII. 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
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VI. Propagation of Elastic-plastic Waves in a Non-homogeneous MediumVII. 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
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XI. Steady Two-dimensional Inertial Flow in the Presence of a Magnetic FieldAppendix A : The Hydromagnetic Energy Equation; Appendix B : Relativistic Magneto-Hydrodynamics; Acknowledgements; References; Author Index; Subject Index