Error estimation for adaptive computations of shell structures

被引：0
作者：
Díez, Pedro [1 ]
Huerta, Antonio [1 ]
机构：
[1] Universität Politécnica de Catalunya E.T.S., Ingenieros de Caminos Barcelona, Campus Nord, E-08034, Barcelona
来源：
Revue Europeenne des Elements | 2000年 / 9卷 / 1-3期
关键词：
Adaptivity; Error estimation; Locking free formulation; Thin shell elements;
D O I：
10.1080/12506559.2000.10511429
中图分类号：
学科分类号：
摘要：
The finite element discretization of a shell structure introduces two kinds of errors: the error in the functional approximation and the error in the geometry approximation. The first is associated with the finite dimensional interpolation space and is present in any finite element computation. The latter is associated with the piecewise polynomial approximation of a curved surface and is much more relevant in shell problems than in any other standard 2D or 3D computation. In this work, a residual type error estimator introduced for standard finite element analysis is generalized to shell problems. This allows easily to account for the real original geometry of the problem in the error estimation procedure and precludes the necessity of comparing generalized stress components between non coplanar elements. That is, the main drawbacks of flux projection error estimators are avoided.
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页码：49 / 66
页数：17
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