Solving the Third Homogeneous Boundary-Value Problem of the Deformation of a Transversely Isotropic Plate with a Curved Hole Under Uniform Tension
The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal...
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| Published in | International applied mechanics Vol. 52; no. 6; pp. 605 - 615 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.11.2016
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1063-7095 1573-8582 |
| DOI | 10.1007/s10778-016-0781-3 |
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| Abstract | The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal displacement and tangential stresses are zero at the hole edge. The numerical data are analyzed |
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| AbstractList | The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal displacement and tangential stresses are zero at the hole edge. The numerical data are analyzed The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier-Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal displacement and tangential stresses are zero at the hole edge. The numerical data are analyzed Keywords: unbounded transversely isotropic plate, stress state, curved (noncircular) hole, elliptical hole, square hole, triangular hole |
| Audience | Academic |
| Author | Khoma, I. Yu Dashko, O. G. |
| Author_xml | – sequence: 1 givenname: I. Yu surname: Khoma fullname: Khoma, I. Yu email: reolog@inmech.kiev.ua organization: S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine – sequence: 2 givenname: O. G. surname: Dashko fullname: Dashko, O. G. organization: S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine |
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| Keywords | square hole stress state curved (noncircular) hole triangular hole unbounded transversely isotropic plate elliptical hole |
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| References | Khoma (CR15) 2006; 42 CR4 CR3 Fil’stinskii, Kovalev, Vensel (CR11) 2002; 39 Maksimyuk, Storozhuk, Chernyshenko (CR18) 2015; 51 Khoma (CR14) 2000; 101 Khoma (CR16) 2014; 50 CR5 Fellers, Soler (CR12) 1970; 8 Yang (CR22) 2009; 155 Burniston (CR8) 1972; 39 CR19 Khoma, Dashko (CR6) 2012; 20 CR17 Guz (CR2) 1962; 8 CR9 Vekua (CR1) 1965; 30 CR23 Folias, Wang (CR13) 1990; 6 Sternberg (CR21) 1958; 11 Abbas Ibrahim (CR7) 2014; 11 Darwish, Gharaibeh, Tashtoush (CR10) 2012; 36 Rezaeepazhand, Jafari (CR20) 2010; 52 Youngdahl, Sternberg (CR24) 1966; 33 ES Folias (781_CR13) 1990; 6 LA Fil’stinskii (781_CR11) 2002; 39 IY Khoma (781_CR14) 2000; 101 F Darwish (781_CR10) 2012; 36 OM Guz (781_CR2) 1962; 8 781_CR23 IN Vekua (781_CR1) 1965; 30 I Khoma (781_CR6) 2012; 20 JI Fellers (781_CR12) 1970; 8 J Rezaeepazhand (781_CR20) 2010; 52 781_CR3 781_CR17 781_CR4 A Abbas Ibrahim (781_CR7) 2014; 11 VA Maksimyuk (781_CR18) 2015; 51 781_CR5 781_CR19 CK Youngdahl (781_CR24) 1966; 33 IY Khoma (781_CR15) 2006; 42 EE Burniston (781_CR8) 1972; 39 E Sternberg (781_CR21) 1958; 11 IY Khoma (781_CR16) 2014; 50 Z Yang (781_CR22) 2009; 155 781_CR9 |
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| SubjectTerms | Applications of Mathematics Boundary value problems Classical Mechanics Fourier series Mathematical analysis Perturbation methods Physics Physics and Astronomy |
| Title | Solving the Third Homogeneous Boundary-Value Problem of the Deformation of a Transversely Isotropic Plate with a Curved Hole Under Uniform Tension |
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