Seismic design relies on inelastic deformations through hysteretic behavior. However, this translates into damage on structural elements, permanent system deformations following an earthquake, and possibly high cost for repairs. An alternative design approach is to concentrate damage on disposable and easy to repair structural elements (i.e., “structural fuses”), while the main structure is des...

Hochschild cohomology governs deformations of algebras, and its graded Lie structure plays a vital role. We study this structure for the Hochschild cohomology of the skew group algebra formed by a finite group acting on an algebra by automorphisms. We examine the Gerstenhaber bracket with a view toward deformations and developing bracket formulas. We then focus on the linear group actions and p...

Let M be a compact complex manifold equipped with a hyperkähler metric, and X be a closed complex analytic subvariety of M. In alg-geom 9403006, we proved that X is trianalytic (i. e., complex analytic with respect to all complex structures induced by the hyperkähler structure), provided that M is generic in its deformation class. Here we study the complex analytic deformations of trian-alytic ...

Let M be a compact complex manifold equipped with a hyperkk ahler metric, and X be a closed complex analytic subvariety of M. In alg-geom 9403006, we proved that X is trianalytic (i. e., complex analytic with respect to all complex structures induced by the hyperkk ahler structure), provided that M is generic in its deformation class. Here we study the complex analytic deformations of trian-aly...

Image deformations due to relative motion between an observer and an object may be used to infer 3-D structure. Up to rst order these deformations can be written in terms of an aane transform. Here, a novel approach is adopted to measuring aane transforms which correctly handles the problem of corresponding deformed patches. The patches are ltered using gaussians and derivatives of gaussians. T...

Hochschild cohomology governs deformations of algebras, and its graded Lie structure plays a vital role. We study this structure for the Hochschild cohomology of the skew group algebra formed by a finite group acting on an algebra by automorphisms. We examine the Gerstenhaber bracket with a view toward deformations and developing bracket formulas. We then focus on the linear group actions and p...

Soakaway disposal wells are used heavily in Sudan for on-site sanitation systems. These have a diameter of 1.5–2.0 m, depth ranging from 10 to 35 and postinstalled brick walls. They often located close building foundation seldom excavated between footings. Although engineers aware induced ground movements, the influence such movements on existing structures currently is ignored both during new ...

In this paper we examine the stability of silicon tip apices by using density functional theory (DFT) calculations. We find that some tip structures - modelled as small, simple clusters - show variations in stability during manipulation dependent on their orientation with respect to the sample surface. Moreover, we observe that unstable structures can be revealed by a characteristic hysteretic ...

In order to satisfactorily reproduce the Soil-Structure Interaction (SSI) effects under earthquake loading, it is often necessary to model a large domain of the soil surrounding the structure of interest. High spatial/temporal resolution is another challenge in analyzing these models. A new parallel nonlinear finite element program, ParCYCLIC, is employed to study such high fidelity large-scale...

Systematic analysis of the deformations of proton and neutron densities in even-even C isotopes was done based on the method of antisymmetrized molecular dynamics. The E2 transition strength was discussed in relation to the deformation. We analyze the B(E2; 2 + 1 → 0 + 1) in 16 C, which has been recently measured to be abnormally small. The results suggest the difference of the deformations bet...