Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids (eBook, PDF)

A Collection of Reprints of 14 Seminal Papers
Redaktion: Ball, John M.; Slemrod, Marshall; Podio-Guidugli, Paulo; Kinderlehrer, David

• Format: PDF

Produktbeschreibung

This book addresses the physics of phase transitions in chemical compositions and crystal or molecular structures. It deals with the control of the scale and distribution of microstructural features that are associated with different phases. Here a mathematical framework is presented with the capacity to describe and predict the evolution of phase interfaces. Some of the relevant developments are summarized, with emphasis being placed on the contributions made by those researchers whose works are printed in this volume.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 474
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642599385
• Artikelnr.: 53083852

Inhaltsangabe

Introduction: Fifty Years of Research on Evolving Phase Interfaces.- I. Papers on Materials Science.- Surface Tension as a Motivation for Sintering.- Two-Dimensional Motion of Idealized Grain Boundaries.- Morphological Stability of a Particle Growing by Diffusion or Heat Flow.- Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics.- The Interactions of Composition and Stress in Crystalline Solids.- II. Papers on Continuum Mechanics.- Multiphase Thermomechanics with Interfacial Structure. 1. Heat Conduction and the Capillary Balance Law.- The Effect of Surface Stress on Crystal-Melt and Crystal-Crystal Equilibrium.- Multiphase Thermomechanics with Interfacial Structure. 2. Evolution of an Isothermal Interface.- On the Driving Traction Acting on a Surface of Strain Discontinuity in a Continuum.- The Nature of Configurational Forces.- III. Papers on Mathematics.- Solutions for the Two-Phase Stefan Problem with the Gibbs-Thomson Law for the Melting Temperature.- Motion of Level Sets by Mean Curvature.I.- Uniqueness and Existence of Viscosity Solutions of Generalized Mean Curvature Flow Equations.- Convergence of the Phase-Field Equations to the Mullins-Sekerka Problem with Kinetic Undercooling.- Papers Reprinted.