Prediction of the Boundary States for Thin-Walled Axisymmetric Shells Under Internal Pressure and Tension Loads

Author:

Halyna Kozbur1,Oleh Shkodzinsky2,Ihor Kozbur2,Nadiia Gashchyn3

Affiliation:

1. Computer Science Department , Ternopil Ivan Puluj National Technical University , Ruska str., 56, Ternopil , Ukraine

2. Automation of Technological Processes and Production Department , Ternopil Ivan Puluj National Technical University , Ruska str., 56, Ternopil , Ukraine

3. Information Science and Mathematical Modeling Department , Ternopil Ivan Puluj National Technical University , Ruska str., 56, Ternopil , Ukraine

Abstract

Abstract A method for calculating the ultimate true stresses arising in the walls of shells of revolution in the area of uniform plastic deformation is developed in the research. In order to derive the stability loss for the plastic deformation process the criterion of maximum load is taken as the basis, simple differential equations were solved. It has been shown analytically that the level of the boundary true stresses is much lower when the values of the principal stress ratios approach to 2 or 1/2 compared to the adjacent stress states.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering

Reference19 articles.

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2. [2] Shahabi, M., Esmaeilnejad, M., Ghasemi, A. “A thin-walled tube subjected to combined internal pressure and axial load under different loading paths”, Strojnícky časopis – Journal of Mechanical Engineering 63 (5-6), p. 307, 2012.

3. [3] Chmelko, V., Krššák, P. “The elasto-plastic state solution of a heavy-wall cylindrical pressure vessel using bilinear stress-strain model. Part 1: Derivation of analytical relations”, Strojnícky časopis – Journal of Mechanical Engineering 64 (1), p. 51, 2013.

4. [4] Bazhenov, V. G., Lomunov, V. K. “An experimental-theoretical study of the process of neck formation under tension of a steel tubular specimen before rupture”, In: Problems of durability and plasticity, Publishing House of the UNN, Nizhny Novgorod, Russia, pp. 35 – 41, 2001.

5. [5] Grigolyuk, E. I., Kabanov, V., “Stability of shells”, Science, Moskow, USSR, 1978.

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