Approximate conformal mappings and elasticity problems for noncircular tubes
Publication type: Journal Article
Publication date: 2020-11-21
scimago Q3
wos Q4
SJR: 0.240
CiteScore: 1.3
Impact factor: 1.0
ISSN: 15593959, 21575428
Mechanics of Materials
Applied Mathematics
Abstract
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.
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Abzalilov D. et al. Approximate conformal mappings and elasticity problems for noncircular tubes // Journal of Mechanics of Materials and Structures. 2020. Vol. 15. No. 5. pp. 555-564.
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Abzalilov D., Ivanshin P., Shirokova E. Approximate conformal mappings and elasticity problems for noncircular tubes // Journal of Mechanics of Materials and Structures. 2020. Vol. 15. No. 5. pp. 555-564.
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TY - JOUR
DO - 10.2140/JOMMS.2020.15.555
UR - https://msp.org/jomms/2020/15-5/p01.xhtml
TI - Approximate conformal mappings and elasticity problems for noncircular tubes
T2 - Journal of Mechanics of Materials and Structures
AU - Abzalilov, Damir
AU - Ivanshin, Pyotr
AU - Shirokova, Elena
PY - 2020
DA - 2020/11/21
PB - Mathematical Sciences Publishers
SP - 555-564
IS - 5
VL - 15
SN - 1559-3959
SN - 2157-5428
ER -
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@article{2020_Abzalilov,
author = {Damir Abzalilov and Pyotr Ivanshin and Elena Shirokova},
title = {Approximate conformal mappings and elasticity problems for noncircular tubes},
journal = {Journal of Mechanics of Materials and Structures},
year = {2020},
volume = {15},
publisher = {Mathematical Sciences Publishers},
month = {nov},
url = {https://msp.org/jomms/2020/15-5/p01.xhtml},
number = {5},
pages = {555--564},
doi = {10.2140/JOMMS.2020.15.555}
}
Cite this
MLA
Copy
Abzalilov, Damir, et al. “Approximate conformal mappings and elasticity problems for noncircular tubes.” Journal of Mechanics of Materials and Structures, vol. 15, no. 5, Nov. 2020, pp. 555-564. https://msp.org/jomms/2020/15-5/p01.xhtml.
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