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Approximate
conformal mappings and elasticity problems for noncircular
tubes
Damir F. Abzalilov, Pyotr N. Ivanshin and Elena A. Shirokova |
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Vol. 15 (2020), No. 5, 555–564
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Abstract |
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We present a method for analytic stress evaluation in elliptic and oval tubes based on approximate conformal mappings from annuli onto oval and elliptical doubly connected domains. The approximate conformal mapping is realized by the boundary reparametrization method. We also solve two elasticity problems for such tubes. |
Keywords
conformal mapping, elasticity theory, stresses
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Milestones
Received: 15 March 2018
Revised: 18 July 2018
Accepted: 24 July 2020
Published: 21 November 2020
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Authors |
| Damir F. Abzalilov | |
| N. I. Lobachevsky Institute of
Mathematics and Mechanics Kazan Federal University Kazan 420008 Russia |
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| Pyotr N. Ivanshin | |
| N. I. Lobachevsky Institute of
Mathematics and Mechanics Kazan Federal University Kazan 420008 Russia |
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| Elena A. Shirokova | |
| N. I. Lobachevsky Institute of
Mathematics and Mechanics Kazan Federal University Kazan 420008 Russia |
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