Titlebook: Computational Mechanics of Nonlinear Response of Shells; Wilfried B. Kr?tzig,Eugenio O?ate Book 1990 Springer-Verlag Berlin Heidelberg 199

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On the Optention of the Tangent Matrix for Geometrically Nonlinear Analysis Using Continuum Based Be a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. It is shown how this approach leads to a complete tangent matrix which in the examples analyzed seems to be competitive with respect to the simplified form obtained by linearizing the changes in the reference vectors.

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Stability of Dynamically Loaded Structuresort by using Galerkin’s procedure. If the effect of the external actions is expressed by the energy which is induced to the structure during the loading, the proof of the stability may be given by comparing this external energy to the critical strain energy.

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Analysis of Finitely-Deformed Shells Using Low-Order Mixed Modelsorithms are utilized for updating the element configuration in the presence of large nodal rotations in space, as well as for the “objective” time integration of its spatial stress (strain) fields when finite stretches occur. The results of a number of practical shell applications are also presented.