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Mathematics of Microstructure Evolution [Pehme köide]

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  • Formaat: Paperback / softback, 380 pages, kõrgus: 250 mm
  • Ilmumisaeg: 01-Jan-1996
  • Kirjastus: Society for Industrial & Applied Mathematics,U.S.
  • ISBN-10: 0898713862
  • ISBN-13: 9780898713862
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  • Pehme köide
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  • Formaat: Paperback / softback, 380 pages, kõrgus: 250 mm
  • Ilmumisaeg: 01-Jan-1996
  • Kirjastus: Society for Industrial & Applied Mathematics,U.S.
  • ISBN-10: 0898713862
  • ISBN-13: 9780898713862
Teised raamatud teemal:
Materials science is a growth area for mathematics in the United States. This volume unites mathematicians, computer scientists, physicists and material scientists in a comprehensive presentation of empirical material on microstructure evolution. The book's tutorial presentation of modern mathematical methods should make it a useful reference for materials scientists. This volume explores such topics as the effects of stress on electromagnetic fields, computer simulations of the kinetics of phase transitions and the evolution of shapes towards equilibrium.
Preface ix Surface Evolver as a Tool for Materials Science Research 1(14) W. C. Carter The Simulation of Two-Dimensional Grain Growth by the Surface Evolver 15(8) K. Marthinsen O. Hunderi N. Ryum Edge-Energy Minimizing Surfaces 23(8) M. J. Kelley Zener Pinning of Normal Grain Growth 31(8) J. Gao R. G. Thompson B. R. Patterson The Thermal Stability of Alloys Having Periodic Minimal Surface Microstructures 39(10) B. Fultz L. Anthony Modeling Magnetostrictive Microstructure Under Loading 49(10) R. James D. Kinderlehrer L. Ma Microlocal Forces and Precursor Oscillations 59(12) D. Brandon R. C. Rogers Real-Space Lattice Statics Description of a Random Lattice 71(16) J. R. Willis T. J. Gosling Modulated Patterns and Pinning Effect in Phase-Separating Alloys 87(14) A. Onuki Discrete Atom Method for Morphological Evolution of Coherent Particles 101(10) J. H. Choy S. A. Hackney J. K. Lee Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation 111(14) T. Miyazaki T. Koyama Equilibrium Particle Morphologies in Elastically Stressed Solids 125(10) M. E. Thompson P. W. Voorhees Anisotropic Interface Motion 135(14) J. E. Taylor Thermodynamic Driving Forces and Equilibrium in Multicomponent Systems with Anisotropic Surfaces 149(12) J. W. Cahn J. E. Taylor Analysis of Anisotropic Characteristics of Dislocation Loop Morphology 161(12) D. Schwendeman K. Rajan On the Physics of Self-Organizing Microstructural Evolution 173(14) J. S. Kirkaldy The Geometrical Phase Transformations During Evolution in Finite Media 187(8) V. Ya. Shur E. L. Rumyantsev S. D. Makarov Phase-Field Modeling of Crystal Growth: New Asymptotics and Computational Limits 195(10) A. Karma W.-J. Rappel Phase Field Instabilities and Adaptive Mesh Refinement 205(10) R. F. Almgren A. S. Almgren Microstructural Evolution and Grain Growth Kinetics in a Two-Phase Solid with Quadrijunctions 215(10) D. Fan L. Q. Chen Anisotropic Interfaces and Ordering in FCC Alloys: A Multiple-Order-Parameter Continuum Theory 225(20) R. J. Braun J. W. Cahn J. Hagedorn G. B. McFadden A. A. Wheeler Diffusional Phase Transformations on the Atomic Scale: Experiment and Modeling 245(24) J. M. Hyde A. Cerezo M. K. Miller R. P. Setna G. D. W. Smith Non-Classical Nucleation and Growth of Ordered Domains in a Disordered Matrix 269(12) R. Poduri L. Q. Chen The Mathematics of Processing for Material Microstructure 281(30) J. A. Simmons Appeal to Mathematicians on the Hierarchy in CVM and PPM 311(10) R. Kikuchi Mean-Field Equations for Configuration Kinetics of Alloys at Arbitrary Degree of Nonequilibrium 321(6) V. G. Vaks S. V. Beiden V. Yu. Dobretsov Modeling and Control of Advanced Chemical Vapor Deposition Processes 327(18) H. T. Banks K. Ito J. S. Scroggs H. T. Tran N. Dietz K. J. Bachmann Pattern Formation in Nonuniform Media: Co Oxidation On Microstructured and Composite PT Surfaces 345(10) M. Bar A. K. Bangia I. G. Kevrekidis G. Haas H.-H. Rotermund Structural Stability of Spinodal Decomposition 355(12) Y. Oono Cascades of Spinodal Decompositions in the Ternary Cahn-Hilliard Equations 367(12) D. J. Eyre Chemical Potential Approach to Diffusion-Limited Microstructure Evolution 379(8) M. A. Fradkin J. Goldak R. C. Reed Subject Index 387(4) Author Index 391