General contact-angle conditions with and without kinetics
Authors:
Sigurd Angenent and Morton E. Gurtin
Journal:
Quart. Appl. Math. 54 (1996), 557-569
MSC:
Primary 80A22; Secondary 76B45
DOI:
https://doi.org/10.1090/qam/1402410
MathSciNet review:
MR1402410
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Abstract: The classical condition for the contact angle of a phase interface at a container wall is generalized to include both anisotropy and kinetics. The derivation, which does not involve an assumption of local equilibrium, is based on a capillary force balance, a dissipation inequality representing the second law, and suitable constitutive assumptions.
S. Angenent and M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface, Arch. Rational Mech. Anal. 108, 323–391 (1989)
K. A. Brakke, The Motion of a Surface by its Mean Curvature, Princeton University Press, 1978
M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law, Arch. Rational Mech. Anal. 104, 185–221 (1988)
M. E. Gurtin, Thermomechanics of Evolving Phase Boundaries in the Plane, Oxford Press, 1993
M. E. Gurtin, The nature of configurational forces, Arch. Rational Mech. Anal. 131, 67–100 (1995)
W. W. Mullins, Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27, 900–904 (1956)
S. Angenent and M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface, Arch. Rational Mech. Anal. 108, 323–391 (1989)
K. A. Brakke, The Motion of a Surface by its Mean Curvature, Princeton University Press, 1978
M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law, Arch. Rational Mech. Anal. 104, 185–221 (1988)
M. E. Gurtin, Thermomechanics of Evolving Phase Boundaries in the Plane, Oxford Press, 1993
M. E. Gurtin, The nature of configurational forces, Arch. Rational Mech. Anal. 131, 67–100 (1995)
W. W. Mullins, Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27, 900–904 (1956)
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Article copyright:
© Copyright 1996
American Mathematical Society
