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New numerical results for thin inhibited hyperbolic shells: The case of hyperbolic paraboloid. (Nouveaux résultats numériques concernant les coques minces hyperboliques inhibées: Cas du paraboloïde hyperbolique.) (French. Abridged English version) Zbl 0969.74063
Summary: We present numerical tests for hyperbolic inhibited shells. The subject is to approximate the normal component of displacement with the help of Ganev-Argyris triangles when the thickness \(\varepsilon\) tends to 0. We then deal with the membrane limit problem \((\varepsilon=0)\) in order to compare these results with the last one. The tests show that for all fixed \(\varepsilon\) there exists a best non-trivial mesh step size \(h_0\), and \(\varepsilon\to 0\) involves \(h_0\to 0\). These tests are concerned with a totally clamped hyperbolic-parabolic shell.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
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