Ebook: Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids: A Collection of Reprints of 14 Seminal Papers

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.

---

---

Content:
Front Matter....Pages I-VIII
Introduction: Fifty Years of Research on Evolving Phase Interfaces....Pages 1-29
Front Matter....Pages 31-31
Surface Tension as a Motivation for Sintering....Pages 33-69
Two-Dimensional Motion of Idealized Grain Boundaries....Pages 70-74
Morphological Stability of a Particle Growing by Diffusion or Heat Flow....Pages 75-81
Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics....Pages 82-119
The Interactions of Composition and Stress in Crystalline Solids....Pages 120-146
Front Matter....Pages 147-147
Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law....Pages 149-175
The Effect of Surface Stress on Crystal-Melt and Crystal-Crystal Equilibrium....Pages 176-195
Multiphase Thermomechanics with Interfacial Structure. 2. Evolution of an Isothermal Interface....Pages 196-264
On the Driving Traction Acting on a Surface of Strain Discontinuity in a Continuum....Pages 265-280
The Nature of Configurational Forces....Pages 281-314
Front Matter....Pages 315-315
Solutions for the Two-Phase Stefan Problem with the Gibbs—Thomson Law for the Melting Temperature....Pages 317-327
Motion of Level Sets by Mean Curvature. I....Pages 328-374
Uniqueness and Existence of Viscosity Solutions of Generalized mean Curvature Flow Equations....Pages 375-412
Convergence of the Phase-Field Equations to the Mullins-Sekerka Problem with Kinetic Undercooling....Pages 413-471
Back Matter....Pages 473-474

---

Content:
Front Matter....Pages I-VIII
Introduction: Fifty Years of Research on Evolving Phase Interfaces....Pages 1-29
Front Matter....Pages 31-31
Surface Tension as a Motivation for Sintering....Pages 33-69
Two-Dimensional Motion of Idealized Grain Boundaries....Pages 70-74
Morphological Stability of a Particle Growing by Diffusion or Heat Flow....Pages 75-81
Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics....Pages 82-119
The Interactions of Composition and Stress in Crystalline Solids....Pages 120-146
Front Matter....Pages 147-147
Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law....Pages 149-175
The Effect of Surface Stress on Crystal-Melt and Crystal-Crystal Equilibrium....Pages 176-195
Multiphase Thermomechanics with Interfacial Structure. 2. Evolution of an Isothermal Interface....Pages 196-264
On the Driving Traction Acting on a Surface of Strain Discontinuity in a Continuum....Pages 265-280
The Nature of Configurational Forces....Pages 281-314
Front Matter....Pages 315-315
Solutions for the Two-Phase Stefan Problem with the Gibbs—Thomson Law for the Melting Temperature....Pages 317-327
Motion of Level Sets by Mean Curvature. I....Pages 328-374
Uniqueness and Existence of Viscosity Solutions of Generalized mean Curvature Flow Equations....Pages 375-412
Convergence of the Phase-Field Equations to the Mullins-Sekerka Problem with Kinetic Undercooling....Pages 413-471
Back Matter....Pages 473-474
....