A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach

A mixed formulation to construct general shell elements based on the degenerated solid approach is presented. This mixed formulation can be understood as a modification of the discrete potential energy of the shell in which the membrane and shear energy terms are obtained as a combination of the usu...

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Principais autores: Bucalem, Miguel Luiz, Nóbrega, Selma Hissae Shimura da
Formato: article
Idioma:English
Publicado em: Elsevier
Assuntos:
Locking
Shells
Finite element technology
Endereço do item:https://repositorio.ufrn.br/handle/123456789/31677
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spelling ri-123456789-316772023-02-02T18:57:11Z A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach Bucalem, Miguel Luiz Nóbrega, Selma Hissae Shimura da Locking Shells Finite element technology A mixed formulation to construct general shell elements based on the degenerated solid approach is presented. This mixed formulation can be understood as a modification of the discrete potential energy of the shell in which the membrane and shear energy terms are obtained as a combination of the usual terms, i.e., directly obtained from the displacement and geometry interpolation assumptions, and membrane and shear terms obtained from assumed strain fields. This energy splitting idea was first introduced in the context of the Naghdi shell theory by Arnold and Brezzi. This mixed formulation is used to study quadratic general triangular shell elements based on the degenerated solid approach. Although considerable success has been achieved in the formulation of reliable, free of locking, general quadrilateral shell elements, the attempts of formulating general triangular shell elements have not yet produced an element that satisfies the locking free requirements. Therefore, there is a great interest in investigating new approaches, as the one discussed in this paper, that can lead to triangular elements that do not suffer from locking difficulties. We present in this paper the formulation of specific elements and their numerical assessment through the use of well established benchmark shell problems 2021-03-04T14:42:42Z 2021-03-04T14:42:42Z 2000-11 article BUCALEM, M. L. ; NÓBREGA, S. H. S. . A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach. Computers & Structures, v. 78, p. 35-44, 2000. Disponível em: https://www.sciencedirect.com/science/article/abs/pii/S0045794900000778. Acesso em: 21 jan. 2021. https://doi.org/10.1016/S0045-7949(00)00077-8 0045-7949 https://repositorio.ufrn.br/handle/123456789/31677 10.1016/S0045-7949(00)00077-8 en Elsevier
institution Repositório Institucional
collection RI - UFRN
language English
topic Locking
Shells
Finite element technology
spellingShingle Locking
Shells
Finite element technology
Bucalem, Miguel Luiz
Nóbrega, Selma Hissae Shimura da
A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
description A mixed formulation to construct general shell elements based on the degenerated solid approach is presented. This mixed formulation can be understood as a modification of the discrete potential energy of the shell in which the membrane and shear energy terms are obtained as a combination of the usual terms, i.e., directly obtained from the displacement and geometry interpolation assumptions, and membrane and shear terms obtained from assumed strain fields. This energy splitting idea was first introduced in the context of the Naghdi shell theory by Arnold and Brezzi. This mixed formulation is used to study quadratic general triangular shell elements based on the degenerated solid approach. Although considerable success has been achieved in the formulation of reliable, free of locking, general quadrilateral shell elements, the attempts of formulating general triangular shell elements have not yet produced an element that satisfies the locking free requirements. Therefore, there is a great interest in investigating new approaches, as the one discussed in this paper, that can lead to triangular elements that do not suffer from locking difficulties. We present in this paper the formulation of specific elements and their numerical assessment through the use of well established benchmark shell problems
format article
author Bucalem, Miguel Luiz
Nóbrega, Selma Hissae Shimura da
author_facet Bucalem, Miguel Luiz
Nóbrega, Selma Hissae Shimura da
author_sort Bucalem, Miguel Luiz
title A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
title_short A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
title_full A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
title_fullStr A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
title_full_unstemmed A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
title_sort mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach
publisher Elsevier
publishDate 2021
url https://repositorio.ufrn.br/handle/123456789/31677
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