A symplectic variety X is a normal algebraic variety (defined over C) which admits an everywhere non-degenerate d-closed 2-form ω on the regular locus Xreg of X such that, for any resolution f : X̃ → X with f (Xreg) ∼= Xreg, the 2-form ω extends to a regular closed 2-form on X̃ (cf. [Be]). There is a natural Poisson structure { , } on X determined by ω. Then we can introduce the notion of a Poiss...

A symplectic variety X is a normal algebraic variety (defined over C) which admits an everywhere non-degenerate d-closed 2-form ω on the regular locus Xreg of X such that, for any resolution f : X̃ → X with f (Xreg) ∼= Xreg, the 2-form ω extends to a regular closed 2-form on X̃ (cf. [Be]). There is a natural Poisson structure { , } on X determined by ω. Then we can introduce the notion of a Poiss...

Feet-lock steel pipes have been widely applied in soft-rock tunnels, but their installation quantity and parameters depend on engineering experience. In this study, by simplifying the force between feet-lock pipe primary lining, load-deformation characteristics were analyzed separately, inconsistent deformation was revealed. Next, combined with passive active bearing scheme, a design optimizati...

Let D be a homogeneous Dirac operator on the quotient M = G=H of two compact connected Lie groups. We construct a deformation ~ D of D and calculate its equivariant-invariant G (~ D) explicitly on the dense subset G 0 of G that acts freely on M. On G 0 , G (~ D) and G (D) diier only by a virtual character of G.

We describe a noncommutative deformation theory for presheaves and sheaves of modules that generalizes the commutative deformation theory of these global algebraic structures, and the noncommutative deformation theory of modules over algebras due to Laudal. In the first part of the paper, we describe a noncommutative deformation functor for presheaves of modules on a small category, and an obst...

Cohesive Modeling of the Deformation and Fracture of Weldbonded Joints M. N. Cavalli, M.D. Thouless and Q.D. Yang Mechanical Engineering Department Materials Science and Engineering Department University of Michigan Ann Arbor, MI Rockwell Scientific Company Thousand Oaks, CA Abstract In previous work, cohesive-zone models have been developed separately for the analysis of adhesively-bonded join...

We examine the large deformation elastic response of the spectrin network in a human red blood cell (RBC) on the basis of molecular-level constitutive laws. These formulations are shown to be consistent with the predictions of continuum level models for the hyperelastic deformation of RBC, and are compared with recent experimental studies of whole-cell deformation using optical tweezers stretch...

this study was carried out to determine some mechanical properties of barley seed including deformation, rapture force, rapture energy and toughness as a function of moisture content (10.5%, 12.5%, 14.5% , 16.5%, db), loading rate (5, 15, 25, 35 mm.min-1) and grain size (small, medium, large). tests were performed at 7 replications by the means of a factorial base plot experiment. the results s...