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Abstract
The goal of this paper is to derive again the generalized Cahn-Hilliard andAllen-Cahn models in deformable continua introduced previously by E. Friedand M. E. Gurtin on the basis of a microforce balance. We use a~differentapproach based on the second law in the form of the entropy principleaccording to I. Müller and I. S. Liu which leads to the evaluation of theentropy inequality with multipliers. Both approaches provide the same systems of field equations. In particular, ourdifferential equation for the multiplier associated with the balance law forthe order parameter turns out to be identical with the Fried-Gurtinmicroforce balance.
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