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Abstract
Within the six-parameter nonlinear shell theory we analyzed the in-plane rotational instability which oc- curs under in-plane tensile loading. For plane deformations the considered shell model coincides up to notations with the geometrically nonlinear Cosserat continuum under plane stress conditions. So we con- sidered here both large translations and rotations. The constitutive relations contain some additional mi- cropolar parameters with so-called coupling factor that relates Cosserat shear modulus with the Cauchy shear modulus. The discussed instability relates to the bifurcation from the static solution without rota- tions to solution with non-zero rotations. So we call it rotational instability. We present an elementary discrete model which captures the rotational instability phenomenon and the results of numerical anal- ysis within the shell model. The dependence of the bifurcation condition on the micropolar material parameters is discussed.
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Authors (4)
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Francesco Dell’isola prof.
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
no. 196-197,
pages 179 - 189,
ISSN: 0020-7683 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Chróścielewski J., Dell’isola F., Eremeyev V., Sabik A.: On rotational instability within the nonlinear six-parameter shell theory// INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES -Vol. 196-197, (2020), s.179-189
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ijsolstr.2020.04.030
- Verified by:
- Gdańsk University of Technology
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