Wyszukiwarka
Drilling couples and refined constitutive equations in the resultant geometrically non-linear theory of elastic shells
Abstrakt
It is well known that distribution of displacements through the shell thickness is non-linear, in general. We introduce a modified polar decomposition of shell deformation gradient and a vector of deviation from the linear displacement distribution. When strains are assumed to be small, this allows one to propose an explicit definition of the drilling couples which is proportional to tangential components of the deviation vector. The consistent second approximation to the complementary energy density of the geometrically non-linear theory of isotropic elastic shells is constructed. From differentiation of the density we obtain the consistently refined constitutive equations for 2D surface stretch and bending measures. These equations are then inverted for 2D stress resultants and stress couples. The second-order terms in these constitutive equations take consistent account of influence of undeformed midsurface curvatures. The drilling couples are explicitly expressed by the stress couples, undeformed midsurface curvatures, and amplitudes of quadratic part of displacement distribution through the thickness. The drilling couples are shown to be much smaller than the stress couples, and their influence on the stress and strain state of the shell is negligible. However, such very small drilling couples have to be admitted in non-linear analyses of irregular multi-shell structures, e.g. shells with branches, intersections, or technological junctions. In such shell problems six 2D couple resultants are required to preserve the structure of the resultant shell theory at the junctions during entire deformation process.
Cytowania
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Autorzy (2)
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Wojciech Pietraszkiewicz
- Instytut Maszyn Przepływowych Polska Akademia Nauk
Cytuj jako
Pełna treść
- Wersja publikacji
- Accepted albo Published Version
- DOI:
- Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.ijsolstr.2014.02.022
- Licencja
- Copyright (2014 Elsevier Ltd.)
Słowa kluczowe
Informacje szczegółowe
- Kategoria:
- Publikacja w czasopiśmie
- Typ:
- artykuł w czasopiśmie wyróżnionym w JCR
- Opublikowano w:
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INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
nr 51,
wydanie 11-12,
strony 2133 - 2143,
ISSN: 0020-7683 - Język:
- angielski
- Rok wydania:
- 2014
- Opis bibliograficzny:
- Pietraszkiewicz W., Konopińska-Zmysłowska V.: Drilling couples and refined constitutive equations in the resultant geometrically non-linear theory of elastic shells// INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. -Vol. 51, iss. 11-12 (2014), s.2133-2143
- DOI:
- Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.ijsolstr.2014.02.022
- Weryfikacja:
- Politechnika Gdańska
wyświetlono 105 razy
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