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A new linear Naghdi type shell model for shells with little regularity (CROSBI ID 235328)

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Tambača, Josip ; Tutek, Zvonimir A new linear Naghdi type shell model for shells with little regularity // Applied Mathematical Modelling, 40 (2016), 23-24; 10549-10562. doi: 10.1016/j.apm.2016.07.007

Podaci o odgovornosti

Tambača, Josip ; Tutek, Zvonimir

engleski

A new linear Naghdi type shell model for shells with little regularity

In this paper, a new linear shell model of Naghdi type is formulated for shells with little regularity, namely the shells whose middle surface is parameterized by a W1, ∞ function. Thus corners in the undeformed geometry are inherent in the formulation. Unknowns in the model are the displacement View the MathML source of the middle surface of the shell and the infinitesimal rotation View the MathML source of the shell cross-section. In difference to the classical shell models, the existence and uniqueness of the solution is obtained for View the MathML source with a very simple proof without usage of almost any differential geometry of surfaces. We relate the new model with known shell models in two ways. In the first we show that asymptotically, with respect to small thickness of the shell, the model behaves as the membrane model or the flexural shell model in the corresponding regime. In the second, for smooth enough middle surface, we relate the terms in the weak formulation of the model with terms in the classical Naghdi shell model. Further, we prove continuous dependence of the solution of the model on the change of the undeformed middle surface. At the end, we also present a numerical approximation of the model for the middle surface with a corner at the joint of two pieces that dominantly behave differently (one as a membrane and the other one as a flexural shell).

Elastic shell model ; Naghdi shell model ; Little regularity ; Corners ; Junctions

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Podaci o izdanju

40 (23-24)

2016.

10549-10562

objavljeno

0307-904X

1872-8480

10.1016/j.apm.2016.07.007

Povezanost rada

Matematika

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