Front Cover; Advanses in Applied Mechanics, Volume 31; Copyright Page; Contents; Contributors; Preface; Chapter 1. A New Integrable Shallow Water Equation; I. Introduction; II. The Green-Naghdi Equations; III. The Unidirectional Model; IV. Solution Dynamics; V. Conservation Laws; VI. An lsospectral Problem for the Unidirectional Model; VII. Discussion; Acknowledgments; References; Chapter 2. The Onset and Development of Thermal Convection in Fully Developed Shear Flows; I. Introduction; II. Rayleigh-Bénard Convection in Fully Developed Forced Flows
III. Energy Changes Accompanying Deformation ProcessesIV. Constitutive Relations; V. Applications to Deformation of Polycrystalline Shape Memory Alloys; VI. Concluding Comments; Acknowledgments; References; Author Index; Subject Index
III. Rayleigh-Bénard Convection in Fully Developed, Thermally Induced FlowsIV. Concluding Remarks; Acknowledgments; References; Chapter 3. Vortex Element Methods for Flow Simulation; I. Introduction; II. Theoretical Foundations and Numerical Schemes; III. Evolution and Applications of Vortex Element Methods; IV. Concluding Remarks; Acknowledgments; References; Chapter 4. Micromechanics Constitutive Description of Thermoelastic Martensitic Transformations; I. Introduction; II. Micromechanics and Thermodynamics of Thermoelastic Martensitic Transformations
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This acclaimed series provides survey articles on the present state and future direction of research in important branches of applied mechanics. Volume 31 provides the following fully referenced, and comprehensive articles: A New Integrable Shallow Water Equation discusses the initial value problem and soliton solutions for a newly discovered, completely integrable, dispersive shallow water equation as well as the elastic collision properties of the N-soliton solution The Onset and Development of Thermal Convection in Fully Developed Shear Flows focuses on a few basic states involving a Boussinesq fluid and fully developed forced flows, mainly of the Couette or Poiseuille type Vortex Element Methods for Flow Simulation covers vortex patches and filaments and a critical account of difficulties, limitations, and continuing efforts to improve the simulations of laminar or peturbulent flows through the use of vortex elementmethods Micromechanics Constitutive Description of Thermoelastic Martensitic Transformations is concerned with the micromechanics description of transformation plasticity, incorporating microstructure, crystallography, thermodynamics and micromechanics into the continuum formulation of the macroscopic constitutive behavior.