The equilibrium shape and chemical potential of an array of island ridges in an epitaxially strained solid film are determined from a continuum model describing the Stranski–Krastonow morphology of a thin layer on a substrate. This model incorporates the conditions for mechanical and chemical equilibrium, isotropic surface energy, and misfit strain. Solutions corresponding to periodic arrays of...

Abstract

Size functions are functions from the real plane to the natural numbers useful for describing shapes of objects. They allow to translate the problem of comparing shapes to the problem of comparing functions, that is a much simpler task. In order to perform the comparison between size functions we present a method to measure the energy necessary to deform size functions into each other. Minimizi...

The vortex state thermal and transport properties of the high T c copper oxides can be understood in a d-wave gap model and are dominated by the extended quasiparticle states that exist along the nodal directions in momentum space. The Doppler shift on these states due to the circulating supercurrents around the vortex core, introduces new van Hove ridges into the energy dependent local density...

We give error estimates for the approximation of a laminated microstructure which minimizes the energy R (rv(x))dx for a rotationally invariant, double well energy density (A). We present error estimates for the convergence of the deformation in L; the convergence of directional derivatives of the deformation in the \twin planes," the weak convergence of the deformation gradient, the convergenc...

abstractin this paper, we investigate effect of fe–intermetallic compounds on plastic deformation of closed-cell composite aluminum foam as filler of thin-walled tubes. however, deformation of the aluminum foam-filled thin-walled tubes as crushed-box will be presented in part (ii). composite foams of alsi7sic3 and alsi7sic3-(fe) as closed cell were synthesized by powder metallurgy foaming metho...