On equations of the linear theory of shells with surface stresses taken into account
We construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken into account to two-dimensional equations given on the shel...
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Published in | Mechanics of solids Vol. 45; no. 3; pp. 331 - 342 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
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Allerton Press, Inc
01.06.2010
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Online Access | Get full text |
ISSN | 0025-6544 1934-7936 |
DOI | 10.3103/S0025654410030040 |
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Abstract | We construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken into account to two-dimensional equations given on the shell median surface. We analyze the influence of surface elasticity moduli on the effective stiffness of plates and shells. |
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AbstractList | We construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken into account to two-dimensional equations given on the shell median surface. We analyze the influence of surface elasticity moduli on the effective stiffness of plates and shells. |
Author | Eremeev, V. A. Morozov, N. F. Altenbach, H. |
Author_xml | – sequence: 1 givenname: H. surname: Altenbach fullname: Altenbach, H. email: holm.altenbach@iw.uni-halle.de organization: Martin Luther University Halle-Wittenberg – sequence: 2 givenname: V. A. surname: Eremeev fullname: Eremeev, V. A. organization: South Federal University – sequence: 3 givenname: N. F. surname: Morozov fullname: Morozov, N. F. organization: St. Petersburg State University |
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Keywords | surface stresses plates shells effective stiffnesses surface tension |
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Title | On equations of the linear theory of shells with surface stresses taken into account |
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