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Morton E. Gurtin

Publications and source records attributed to Morton E. Gurtin.

2 recordsLinked to original sources

Interfacial Energy and Fine Defect Structures for Incoherent Films

This note summarizes recent results in which modern techniques of the calculus of variations are used to obtain qualitative features of film-substrate interfaces for a broad class of interfacial energies. In particular, we show that the existence of a critical thickness for incoherency and the formation of interfacial dislocations depend strongly on the convexity and smoothness of the interfacial energy function.

cond-mat↗

Two-phase binary fluids and immiscible fluids described by an order parameter

A unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law. As a numerical application of the theory, we consider the kinetics of coarsening for a binary fluid in two space-dimensions.

patt-sol↗