Continuum methods in the theory of phase transitions in solids

Details Continuum methods in the theory of phase transitions in solids Continuum methods in the theory of phase transitions in solids

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pepi...50...99g&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 50, Issue 1, p. 99-109.

Physics

4

Scientific paper

The possibility that some substances exist in physically distinct states may be described formally as a special type of physical nonlinearity (i.e. the nonlinearity of the stress-strain relation) which cannot be linearized in principle. We present here several new results and discuss some viewpoints pertinent to such problems as: (1) the classification of phase transitions in solids, (2) the equations of phase equilibrium and the correct generalizations of the notion of chemical potential, (3) special cases allowing explicit calculation of equilibrium configurations in some systems, (4) the fundamentally new sources of instability in two-phase heterogeneous configurations, and (5) the propagation of small disturbances and free oscillations of the two-phase system in the close vicinity of equilibrium states.

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