Modification of the Wilkins Method to Study the Dynamics of Axisymmetric Thick-Wall Shells with a Spiral Orthotropy

Modification of the Wilkins method has been performed for numerical investigation into dynamics of thick-wall cylindrical shells with a spiral orthotropy. Test calculations are shown to agree well with the known solutions. New physical effects have been found, which are absent from isotropic and cylindrically orthotropic bodies.     

Numerical analysis of a three-dimensional branched pipeline using special software designed for estimation of the strength of the equipment of nuclear power plants

We describe the structure of an informational model of a branched three-dimensional pipeline, which is important for analysis of the stressed state of its elements, and formulate the basic principles of, its application. For rectilinear and (this is especially important) curvilinear segments of pipeline, we obtain relationships between the generalized displacements and generalized forces at every point of the considered segment. On the basis of these relationships, we formulate a procedure for application of the method of initial parameters to the analysis of the elastic state of the pipeline. This procedure is based on a simple single-stage sequence of passing through the entire pipeline to obtain a closed system of equations for the unknown generalized forces. In agreement with contemporary standards and documents, we develop an algorithm and realize an iteration procedure to take into account the effect of friction in the supports. 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. 87 – 100, March – April, 1998.     

Numerical investigation of the dynamic strength of thick-walled cylindrical shells with cracklike technological defects

A numerical method is proposed for the evaluation of the stress intensity factors in elastic thick-walled cylindrical shells with cracks subjected to dynamic loading. The method is based on the two-dimensional axially symmetric Wilkins algorithm and the equations of mechanics of brittle fracture. The strength of thick-walled cylinders loaded by pulses of internal pressure and containing technological defects (similar to mathematical cuts) formed at the sites of fixing of their ends by welding is investigated.Translated from Problemy Prochnosti, No. 1, pp. 76–87, January–February, 2005.     

Evaluation of the Dynamic Strength of Cylindrical and Conic Matrices of Finite Length for Stamping by High Explosives

The equations of two-dimensional dynamic theory of elasticity are used to study the domain of applicability of engineering one-dimensional analytic procedures developed earlier for the evaluation of the dynamic strength of cylindrical and conic matrices of finite length both with free and fastened ends subjected to stamping by high explosives. It is shown that, in view of the buildup effect leading, in some cases, to the violation of strength of the matrix, these procedures should be supplemented with correcting calculations performed according to the two-dimensional model for large periods of time. We propose new procedures of design-basis and verifying analyses for cylindrical and conic matrices of finite length subjected to stamping by high explosives.__________Translated from Problemy Prochnosti, No. 2, pp. 49 – 65, March – April, 2005     

Theory of nonstationary hydroelasticity of fractured shells

The theory of nonstationary interaction of continually fractured solids, i.e., shells made from an elastoplastic material and a liquid, is developed. The failure process is based on growth of damage in the material with an increase in the size of defects. Various models describing cavitation processes in the liquid are used to examine the nonstationary interaction of two concentric cylindrical shells through the liquid.Institute of Problems of Strength, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Problemy Prochnosti, No. 10, pp. 82–90, October, 1989.