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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Informacje dodatkowe
- DOI
- Cyfrowy identyfikator dokumentu elektronicznego link otwiera się w nowej karcie 10.1016/j.ijsolstr.2020.04.030
- Kategoria
- Publikacja w czasopiśmie
- Typ
- artykuły w czasopismach
- Język
- angielski
- Rok wydania
- 2020
Źródło danych: MOSTWiedzy.pl - publikacja "On rotational instability within the nonlinear six-parameter shell theory" link otwiera się w nowej karcie