Conclusions
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1.
The optimum design theory was used to derive equations for optimizing the stress-strain state in the thick-walled pipe with the elasticity modulus varying along the radius and loaded with the internal pressure.
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2.
A numerical method of determining the law of the optimum distribution of the elasticity modulus along the radius of the thick-walled pipe was proposed.
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3.
The results show that by corresponding changes of the elasticity modulus in the given range along the pipe thickness it is possible to reduce the maximum annular stresses on the internal surface of the pipe. This stress reduction in a ratio expressed in per cent is approximately equal to the variation range of the elasticity modulus.
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4.
The minimum annular strains were recorded in the homogeneous pipe produced from the material with the maximum possible elasticity modulus.
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Additional information
Izhevsk Institute of Mechanics. Translated from Problemy Prochnosti, No. 2, pp. 88–91, February, 1988.
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Kalinnikov, A.E., Korlyakov, S.V. Optimization of the stress-strain state of a thick-walled pipe on the basis of Young's modulus of the material. Strength Mater 20, 239–242 (1988). https://doi.org/10.1007/BF01522931
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DOI: https://doi.org/10.1007/BF01522931