Conditional distributions of record values and characterizations of distributions

We consider some regression relations for record values X(n), n > 0, generated by a sequence of independent random variables X₁, X₂, X₃,... with a common continuous cumulative distribution function F(x). New characterizations of distributions based on regression properties of record values are obtained. Bibliography: 7 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 339, 2006, pp. 5–14.     

Iterative method of designing uniform and laminated shells of revolution made of highly elastic materials

Conclusion An iterative method was proposed for numerical solution of problems concerning the axisymmetric deformation of uniform and laminated shells of revolution made of highly elastic materials. Calculations performed for rubber, rubber-fiber, and rubber-layered shells demonstrate the reliability and effectiveness of the method.Translated from Mekhanika Kompozitnykh Materialov, No. 1, pp. 109–116, January–February, 1990.     

Superposition of large butt-end and coaxial torsional and axial shear deformations of homogeneous and fiber-reinforced thick-wall cylinders

A mathematical model of superposition of large butt-end and coaxial torsional and axial shear deformations of homogeneous and fiber-reinforced thick-wall cylinders is constructed. The macroscopic stresses of the reinforced material are additively determined by matrix stresses and by tensile or constrained compression stresses in the reinforcing fibers. The model is based on the numerical solution of two boundary-value problems, one of which corresponds to the butt-end torsion and the other to the coaxial torsion and axial shear. The boundary-value problem on joint deformations is solved with the use of the displacement field determined from the solution to the boundary-value problem on butt-end torsion. The results obtained by applying this method to homogeneous and axially-radially reinforced thick-wall cylinders subjected to butt-end torsion with subsequent coaxial torsion and axial shear are presented. __________ Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 4, pp. 465–492, July–August, 2007.     

Large deformations of bodies of revolution made of elastic homogeneous and fiber-reinforced materials 2. Toroidal bodies under the action of centrifugal forces and torsion

A technique of numerical solution of boundary-value problems is expounded for elastic homogeneous fiber-reinforced bodies of revolution, which is based on equations obtained previously and employs the methods of finite differences and continuation of solutions with respect to loading parameters of the bodies. Results for the torsion of highly elastic toroidal clutches with a semiannular profile are presented. The paper continues the investigation on large deformations of all-rubber and rubber-cord clutches initiated in its first part. The deformations are caused by centrifugal forces in their rotation around the symmetry axis and by the rotary movement in a combination with torsion caused by a relative rotation of their butt-end sections around the axis. The effect of imposition sequence of butt-end torsion and rotary movement on the deformational behavior of the clutches is evaluated.     

Modification of the Surface Properties of PbSnTe〈In〉 Epitaxial Layers with Composition near Band Inversion

Technical Physics - High-resistance Pb1 –xSnxTe〈In〉 layers grown by molecular beam epitaxy on BaF2(111) substrates with compositions close to band inversion have been...