Phase Change in Mechanics

✍ Scribed by Michel Frémond (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 319
• Series: Lecture Notes of the Unione Matematica Italiana 13
• Edition: 1
• Category: Library

✦ Synopsis

Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-2
The State Quantities and the Quantities Describing the Evolution....Pages 3-4
The Basic Laws of Mechanics....Pages 5-29
Solid–Liquid Phase Change....Pages 31-66
Shape Memory Alloys....Pages 67-100
Damage....Pages 101-107
Contact with Adhesion....Pages 109-113
Damage of Solids Glued on One Another: Coupling of Volume and Surface Damages....Pages 115-130
Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice....Pages 131-140
Phase Change and Collisions....Pages 141-191
Collisions of Deformable Bodies and Phase Change....Pages 193-216
Phase Change Depending on a State Quantity: Liquid–Vapor Phase Change....Pages 217-222
Clouds: Mixture of Air, Vapor and Liquid Water....Pages 223-268
Conclusion....Pages 269-269
Back Matter....Pages 295-303

✦ Subjects

Mathematical Modeling and Industrial Mathematics;Phase Transitions and Multiphase Systems;Continuum Mechanics and Mechanics of Materials;Meteorology/Climatology;Structural Materials;Atmospheric Protection/Air Quality Control/Air Pol