Advances in Applied Mechanics
Academic Press
Published on 11. September 1984
376 pages
978-0-08-056402-9 (ISBN)
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Advances in Applied Mechanics
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Theodore Y. Wy | Theodore Y. Wu | John W. Hutchinson
Advances in Applied Mechanics: v. 24
Book
09/1984
Academic Press
€143.61
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Content
- Front Cover
- Advances in Applied Mechanics, Volume 24
- Copyright Page
- Contents
- Contributors
- Preface
- Chapter 1. New Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction-Diffusion, and Solid Mechanics
- I. Introduction
- II. Restructured Thermodynamics of Open Systems and the Concept of Thermobaric Transfer
- III. New Chemical Thermodynamics
- IV. Homogeneous Mixtures and Reformulation of the Gibbs-Duhem Theorem
- V. Nontensorial Virtual Work Approach to Finite Strain and Stress
- VI. Thermodynamic Functions of Open Deformable Solids
- VII. The Fluence Concept
- VIII. The Nature of Entropy -Production and Its Evaluation
- IX. The Principle of Virtual Dissipation
- X. General Lagrangian Equations
- XI. Dynamics of Viscous Fluid Mixtures with Reaction-Diffusion and Radiation Pressure
- XII. Dynamics of Solids with Elastoviscous Stresses and Heat Conduction, and Thermoelasticity
- XIII. Inhomogeneous Viscous Fluid with Convected Coordinates and Heat Conduction
- XIV. Lagrangian Equations of Heat Transfer and Their Mechanical Interpretation, and a Mass Transfer Analogy
- XV. Deformable Solids with Thermomolecular Diffusion and Chemical Reactions
- XVI. Thermodynamics of Nonlinear Viscoelasticity and Plasticity with Internal Coordinates and Heredity
- XVII. Dynamics of a Fluid-Saturated Deformable Porous Solid with Heat and Mass Transfer
- XVIII. Linear Thermodynamics near Equilibrium
- XIX. Linear Thermodynamics of a Solid under Initial Stress
- XX. Linear Thermodynamics and Dissipative Structures near Unstable Equilibrium
- XXI. Thermoelastic Creep Buckling
- XXII. Lagrangian Formulation of Bifurcations
- XXIII. Generalized Stability Criteria for Time-Dependent Evolution Far from Equilibrium
- XXIV. Creep and Folding Instability of a Layered Viscous Solid
- XXV. Coupling of Subsystems and the Principle of Interconnection
- XXVI. Completeness of the Description by Generalized Coordinates. Resolution Threshold and Lagrangian Finite Element Methods
- XXVII. Lagrangian Equations in Configuration Space. Internal Relaxation, Order-Disorder Phenomena, and Quantum Kinetics
- References
- Chapter 2. Incompatible Elements and Generalized Variational Principles
- I. Introduction
- II. Generalized Variational Principle Related to Incompatible Elements of Small-Displacement Linear Elasticity
- III. Generalized Variational Principle of Incompatible Elements for the Plane Problems in Elasticity
- IV. Generalized Variational Principle for Plate Elements of Bending
- V. Conclusions
- References
- Chapter 3. Galactic Dynamics and Gravitational Plasmas
- I. Introduction
- II. Observations
- III. Density Wave Theory of Spiral Structure
- IV. Dynamic Mechanisms
- V. Theory of Discrete Spiral Modes
- VI. Dynamic Approach to Classification of Galaxies
- VI1. Concluding Remarks
- References
- Chapter 4. Strange Attractors in Fluid Dynamics
- I. Introduction
- II. The Spherical Pendulum
- III. Lorenz's Convection Model
- IV. The Howard-Malkus-Welander Convection Model
- V. Mathematical Routes to Turbulence
- VI. Conclusions
- References
- Chapter 5. Nonlinear Ship Waves
- I. Introduction
- II. Nonlinear Waves Generated by Ships
- Ill. Characteristics of Waves around Wedge Models
- IV. Modified Marker-and-Cell Method
- V. Computed Waves around Wedge Models
- VI. Concluding Remarks
- References
- Chapter 6. The Mechanics of Rapid Granular Flows
- I. Introduction
- II. Preliminary Discussion of Some Granular Flow Regimes
- Ill. Flows in Vertical Channels and Inclined Chutes
- IV. Rheological Test Devices and Experiments
- V. Theories for Rapid Granular Flows
- VI. Concluding Remarks
- References
- Author Index
- Subject Index
