Ebook: Shock Induced Transitions and Phase Structures in General Media

This IMA Volume in Mathematics and its Applications SHOCK INDUCED TRANSITIONS AND PHASE STRUCTURES IN GENERAL MEDIA is based on the proceedings of a workshop that was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." The workshop focused on the thermodynamics and mechanics of dynamic phase transitions that are mainly inertially driven and brought together physicists, metallurgists, mathematicians, engineers, and molecular dynamicists with interests in these problems. Financial support of the National Science Foundation made the meeting pos­ sible. We are grateful to J .E. Dunn, Roger Fosdick, and Marshall Slemrod for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, .Jr. PREFACE When a body is subjected to a strong shock the material may suffer severe local structural changes. Rapid solidification, liquification, or vaporization can oc­ cur, and, moreover, complex structural heterogeneity is often left in the wake of the passing wave. Thus, inertially driven shock waves raise fundamental questions involving experiment, theory, and mathematics which bear on phase stability and metastability, as well as on reaction kinetics and appropriate measures of phase structure.

---

This volume focuses on the thermodynamics and mechanics of dynamic phase transitions and the consequent issues of rapid solidification, liquification, and vaporization. The articles investigate fundamental questions associated with phase stability, metastability, and the reaction kinetics which determine the phase or phases that are attainable. Principle researchers in physics, mathematics, metallurgy, engineering, and molecular dynamics present key experimental observations, realistic modeling criteria, insights gained from large scale computations in molecular dynamics, and mathematical analyses of the resulting models. This book will be useful to physicists, mechanicians and applied mathematicians alike.

---

This volume focuses on the thermodynamics and mechanics of dynamic phase transitions and the consequent issues of rapid solidification, liquification, and vaporization. The articles investigate fundamental questions associated with phase stability, metastability, and the reaction kinetics which determine the phase or phases that are attainable. Principle researchers in physics, mathematics, metallurgy, engineering, and molecular dynamics present key experimental observations, realistic modeling criteria, insights gained from large scale computations in molecular dynamics, and mathematical analyses of the resulting models. This book will be useful to physicists, mechanicians and applied mathematicians alike.
Content:
Front Matter....Pages i-xv
Nucleation, Kinetics and Admissibility Criteria for Propagating Phase Boundaries....Pages 1-33
On a Combustion-Like Model for Plastic Strain Localization....Pages 35-44
Shear Waves and Phase Transformations....Pages 45-60
The Riemann Problem for Systems of Conservation Laws of Mixed Type....Pages 61-91
On the Evolutionary Condition for Stationary Plane Waves in Inert and Reactive Substances....Pages 93-110
Dynamic Effects in Gradient Theory for Fluid Mixtures....Pages 111-121
Continuum Limits of Discrete Gases II....Pages 123-145
Nonequilibrium Molecular Dynamics....Pages 147-157
Nonlinear Stability and Instability of Overcompressive Shock Waves....Pages 159-167
The Dissipation Topography Associated with Solutions to a Riemann Problem Involving Elastic Materials Undergoing Phase Transitions....Pages 169-183
Kinks versus Shocks....Pages 185-229
Shear Strain Localization in Plastic Deformations....Pages 231-250

---

This volume focuses on the thermodynamics and mechanics of dynamic phase transitions and the consequent issues of rapid solidification, liquification, and vaporization. The articles investigate fundamental questions associated with phase stability, metastability, and the reaction kinetics which determine the phase or phases that are attainable. Principle researchers in physics, mathematics, metallurgy, engineering, and molecular dynamics present key experimental observations, realistic modeling criteria, insights gained from large scale computations in molecular dynamics, and mathematical analyses of the resulting models. This book will be useful to physicists, mechanicians and applied mathematicians alike.
Content:
Front Matter....Pages i-xv
Nucleation, Kinetics and Admissibility Criteria for Propagating Phase Boundaries....Pages 1-33
On a Combustion-Like Model for Plastic Strain Localization....Pages 35-44
Shear Waves and Phase Transformations....Pages 45-60
The Riemann Problem for Systems of Conservation Laws of Mixed Type....Pages 61-91
On the Evolutionary Condition for Stationary Plane Waves in Inert and Reactive Substances....Pages 93-110
Dynamic Effects in Gradient Theory for Fluid Mixtures....Pages 111-121
Continuum Limits of Discrete Gases II....Pages 123-145
Nonequilibrium Molecular Dynamics....Pages 147-157
Nonlinear Stability and Instability of Overcompressive Shock Waves....Pages 159-167
The Dissipation Topography Associated with Solutions to a Riemann Problem Involving Elastic Materials Undergoing Phase Transitions....Pages 169-183
Kinks versus Shocks....Pages 185-229
Shear Strain Localization in Plastic Deformations....Pages 231-250
....