We consider a variational antiplane lattice model and demonstrate that at zero temperature, there exist locally stable states containing screw dislocations, given conditions on the distance between the dislocations and on the distance between dislocations and the boundary of the crystal. In proving our results, we introduce approximate solutions which are taken from the theory of dislocations i...

Pulmonary diseases of the lung often cause the change of elasticity. This article proposes a novel elasticity imaging method using multidetector-row CT (MDCT). The new method is based on non-rigid image registration from MDCT images of the inspiratory lung to those of the expiratory lung. The elasticity is calculated by local volume change between respirations. Also, this article introduces a n...

Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that stability of such surfaces is related to stability outside the surface via a single jump relation that can be regarded as interchange stability condition. Although this relation appears in the setting of equilibrium el...

Coiled carbon nanotubes were produced catalytically by thermal decomposition of hydrocarbon gas. After deposition on a silicon substrate, the three-dimensional structure of the helix-shaped multiwalled nanotubes can be visualized with atomic force microscopy. Helical structures of both chiralities are present in the nanotube deposits. For larger coil diameters ( >170 nm), force modulation micro...

The general relativistic theory of elasticity is reviewed from a Lagrangian, as opposed to Eulerian, perspective. equations motion and stress-energy-momentum tensor for hyperelastic body are derived the gauge-invariant action principle first considered by DeWitt. This natural extension single particle. central object in Lagrangian treatment Landau-Lifshitz radar metric, which version right Cauc...

This paper introduces constant government expenditure inWoodford’s finance constrained model (J. Econ. Theory, 1986) with capital–labor substitution as presented in Grandmont, Pintus and de Vilder (J. Econ. Theory, 1998) and investigates how government expenditure influences local dynamics near multiple steady states, depending upon the elasticity of substitution between capital and labor in pr...