Research Catalog

Thermomechanics of evolving phase boundaries in the plane

Title
Thermomechanics of evolving phase boundaries in the plane / Morton E. Gurtin.
Author
Gurtin, Morton E.
Publication
Oxford [England] : Clarendon Press ; New York : Oxford University Press, 1993.

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TextRequest in advance QC311 .G985 1993Off-site

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Details

Description
xi, 148 pages; 24 cm.
Series Statement
Oxford mathematical monographs
Uniform Title
Oxford mathematical monographs.
Subjects
Bibliography (note)
  • Includes bibliographical references (p. [142]-146) and index.
Contents
  • 0. Introduction -- I. Kinematics. 1. Curves. 2. Evolving curves. 3. Phase regions, control volumes, and inflows -- II. Mechanical theory of interfacial evolution. 4. Balance of forces; power. 5. Energetics and the dissipation inequality. 6. Constitutive theory. 7. Digression: statical theory of interfacial stability; convexity, the Frank diagram, and corners; Wulff regions. 8. Evolution equations for the interface; basic assumptions. 9. Stationary interfaces and steadily evolving interfaces. 10. Global behaviour for an interface with stable energy. 11. Unstable interfacial energies and interfaces with corners. 12. Non-smooth interfacial energies; crystalline energies. 13. Regularized theory for smooth unstable energies; dependence of interfacial energy on curvature -- III. Thermodynamical theory of interfacial evolution in the presence of bulk heat conduction. 14. Review of single-phase thermodynamics. 15. Thermodynamics of two-phase systems. 16. Constitutive theory. 17. Free-boundary problems.
  • 18. Instabilities induced by supercooling the liquid phase.
ISBN
0198536941 :
LCCN
92038016
OCLC
ocm26930473
Owning Institutions
Columbia University Libraries