We describe a canonical L∞ structure on the total complex of a semicosimplicial differential graded Lie algebra and give an explicit descriprion of the Maurer-Cartan elements and of the associated deformation functor in the particular case of semicosimplicial Lie algebras. We use these results to investigate the deformation functor associated to a sheaf of Lie algebras L and to show that it is ...

Absfmct--In this paper, we discuss the problem of recognizing single-dimensional, real-valued, functions in the presence of domain noise (Le., noise that affects the domain rather than the amplitud~). This problem is inspired by the field of on-line character recognition where it is more natural to view the hand as deforming the domain of the character rather than adding noise to its am~l~tude....

Notches were machined in specimens of Inconel 718 by a broaching process, where differing broaching runs led to differing extents of sub-surface deformation and surface roughness. Fatigue tests were carried out at 600 ̊C with a trapezoidal loading waveform at 0.25Hz. The broaching process that led to the more severe sub-surface deformation (but lower surface roughness) showed the worst fatigue p...

We study the topology of the space ∂K of complete convex hypersurfaces of R which are homeomorphic to Rn−1. In particular, using Minkowski sums, we construct a deformation retraction of ∂K onto the Grassmannian space of hyperplanes. So every hypersurface in ∂K may be flattened in a canonical way. Further, the total curvature of each hypersurface evolves continuously and monotonically under this...

We consider surface singularities in C3 arising as the total space of an equisingular deformation of an isolated curve singularity of the form f(x, y)+zg(x, y) with f and g weighted homogeneous. We give a criterion that such a surface is a free divisor in the sense of Saito. We deduce that the Hessian deformation defines a free divisor for nonsimple weighted homogeneous singularities, and that ...

We study the scattering of waves off a potential step in deformed honeycomb lattices. For deformations below a critical value, perfect Klein tunneling is obtained; i.e., a potential step transmits waves at normal incidence with nonresonant unit-transmission probability. Beyond the critical deformation a gap forms in the spectrum, and a potential step perpendicular to the deformation direction r...

This paper presents a solution to implement neutral argon plasma (NAP) in minimally invasive medical devices (MIMD) for therapy in endoscopy. The NAP system is composed by compressed inert gas (argon), two electrodes and a high-voltage source to ionize the argon. The miniaturization of an argon reservoir is required. The finite element method simulation of a small reservoir of 304 L stainless s...

time axis could be detected. Hence, one concludes that if the deformation introduced changes in the elastic constants C33 or C44 these changes must be less than one or two percent for strains up to 10—' radian. Such a result is to be expected since the appearance of slip bands on the surface indicates that the deformation was confined to numerous very narrow bands. Within these bands one might ...

Abstract-The elastoplastic constitutive analysis which utilizes the model of multiplicative decomposition of the defo~ation gradient into its elastic and plastic parts has been mainly developed and applied to elastically isotropic materials, which remain isotropic during the process of plastic deformation. This paper extends the application of the model to materials that change their elastic pr...

Missing strain,” a discrepancy between the total macroscopic strain and the strain contributed by grain boundary sliding (GBS) during superplastic deformation, appears to exist in previous investigations. In this work, the contribution of GBS (ξGBS) and intragranular strain (ξIG) were simultaneously measured using scratch test conducted on AA7475 samples after deformation at 500 °C at initial s...