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==Abstract==
 
==Abstract==
  
A finite element formulation for the analysis of geometrically nonlinear Shell problems is presented. Degenerated 3D elasticity elements are used for the finite element discretization of the shell. Large rotation effects are taken into account in the nonlinear large displacement kinematic description. The shell formulation is derived in detail using a Total Lagrangian approach and explicit forms of the relevant finite element matrices are given. In the last part of the chapter the obtention of the alternative Updated Lagrangian formulation is presented.  
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A total Lagrangian formulation for the large displacement large rotation: analysis of shells using finite elements is presented. Different expressions for the strain matrix obtained using various displacement interpolation forms are discussed and details of the obtention of the tangent stiffness matrix are given. Simplifications of the general 3D shell formulation for 2D shells are also presented together with some examples of applications.
  
<pdf>Media:Draft_Samper_651812260_2751_1986 - Oñate, Oliver.pdf</pdf>
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<pdf>Media:Onate_Oliver_1988a_9519_1988 - Oliver, Oñate.pdf</pdf>

Latest revision as of 14:45, 1 July 2019

Published in Computational Methods for Non Linear Problems, C. Taylor (Ed.) Pineridge Press, pp. 29-55, 1988

Abstract

A total Lagrangian formulation for the large displacement large rotation: analysis of shells using finite elements is presented. Different expressions for the strain matrix obtained using various displacement interpolation forms are discussed and details of the obtention of the tangent stiffness matrix are given. Simplifications of the general 3D shell formulation for 2D shells are also presented together with some examples of applications.

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Published on 01/01/1988

Licence: CC BY-NC-SA license

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