Theoretical Analysis of Strong Changes in the Shape of Initially Elliptic Plates

On the basis of the energy approach, we obtain an analytic solution for elliptic and round plates fixed along the contour and statically loaded by uniform pressure in the case of large deflections. The numerical results are compared with the experimental data.     

Dynamical problem for an incompressible laminated cylinder with helical anisotropy. Part 1. Theory

Exact analytical solutions have been obtained of a one-dimensional dynamical problem for an incompressible elastic radially inhomogeneous helically orthotropic thick-walled cylinder under plane strain conditions, loaded with nonsteady internal or external pressure. Necessary and sufficient conditions for the existence, uniqueness and physical adequacy of the solutions have been established. Convergence of wave solutions for slightly compressible cylinders to the analytical dependences obtained for incompressible cylinders has been analytically proved. __________ Translated from Problemy Prochnosti, No. 2, pp. 114–123, March–April, 2006.     

Computational Investigation of the Effect of Reinforcement Schemes and Angles on the Stress-Strain State and Strength of Composite Cylinders Under Axisymmetric Internal Explosion. Part 2. Calculation Results for Single- and Two-Layer Cylinders with Symmetrical Reinforcement of the Layers

Strength of Materials - The effect of reinforcement schemes and angles on the stress-strain state and strength of single- and two-layer wound composite cylinders of finite length with symmetrical...     

Exact solution of flow theory problems with isotropic-kinematic hardening. Part 2. Setting of the deformation trajectory in the spaces of total and plastic strains

For an arbitrary isotropic and linear kinematic hardening and loading paths given in the form of arbitrary multisection polygonal lines in the five-dimensional deviatoric space of total strains, we have studied analytically an initially isotropic elastoplastic material with von Mises yielding and the associated flow rule. The solutions obtained are valid for arbitrary relationships that govern the variation of the spherical component of the stress tensor. For arbitrary isotropic and kinematic hardening, we have also obtained an analytical solution to an elastoplastic problem for an arbitrary deformation trajectory given in the deviatoria space of plastic strains Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 1, pp. 62–71, January–February, 2000     

Interlayer Gap Effect on the Dynamics and Strength of Two-Layer Metal Composite Cylinders under Internal Explosion

Strength of Materials - The effect of contact conditions and the gap between the metal and composite layers on the stress-strain state and strength of a two-layer metal composite cylinder under...     

Analytic evaluation of the stress-strain state of a pipeline elastically bent in the ground

We construct a mathematical model of three-dimensional bending with tension and torsion of a prestressed curvilinear pipeline in an elastic compliant soil with longitudinal and torsional frictiontype reactions. The model has the form of a system of 12 ordinary linear differential equations. It takes into account large initial displacements of the pipeline and the action of temperature and pressure linearly distributed along the axis of the pipe. The analytic solution of the problem obtained in elementary functions is of significant practical interest for the inspection and design-basis strength analyses of underground, surface, and above-ground pipelines. Scientific and Engineering Center of Materials-Science Support of the Production and Certification of Equipment of Nuclear Power Plants at the Institute for Problems of Strength of the National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 2, pp. 151 – 160, March – April, 1998.     

Pseudo-Random Graphs and Bit Probe Schemes with One-Sided Error

We study probabilistic bit-probe schemes for the membership problem. Given a set A of at most n elements from the universe of size m we organize such a structure that queries of type “x∈A??” can be answered very quickly. H. Buhrman, P.B. Miltersen, J. Radhakrishnan, and S. Venkatesh proposed a randomized bit-probe scheme that needs space of O(nlogm) bits. That scheme has a randomized algorithm processing queries; it needs to read only one randomly chosen bit from the memory to answer a query. For every x the answer is correct with high probability (with two-sided errors). In this paper we slightly modify the bit-probe model of Buhrman et al. and consider schemes with a small auxiliary information in “cache” memory. In this model, we show that for the membership problem there exists a bit-probe scheme with one-sided error that needs space of O(nlog² m+poly(logm)) bits, which cannot be achieved in the model without cache. We also obtain a slightly weaker result (space of size n ^1+δ poly(logm) bits and two bit probes for every query) for a scheme that is effectively encodable.     

Computational Investigation of the Effect of Reinforcement Schemes and Angles on the Stress-Strain State and Strength of Composite Cylinders Under Axisymmetric Internal Explosion. Part 3. Results of Calculations for Two-Layer Cylinders with Orthogonal and Combined Reinforcement of the Layers

Strength of Materials - The effect of reinforcement patterns and angles on the stress-strain state and strength of two-layer wound composite cylinders of finite length with orthogonal reinforcement...     

Influence of Metal Layer Thickness on the Stress-Strain State and Strength of Metal Composite Cylinders Under Internal Explosion

Strength of Materials - The effect of metal layer thickness on the stress-strain state and strength of metal composite cylinders of constant total thickness under the action of internal dynamic...