A robust triangular membrane element

To analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium conditions, a novel triangular element, named SST,...

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Main Authors: M. Rezaiee-Pajand, M. Yaghoobi
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001400004&lng=en&tlng=en
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spelling doaj-e4d854ea52514948b25d035ab500ea682020-11-25T01:38:54ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782511142648267110.1590/S1679-78252014001400004S1679-78252014001400004A robust triangular membrane elementM. Rezaiee-Pajand0M. Yaghoobi1Ferdowsi University of MashhadFerdowsi University of MashhadTo analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium conditions, a novel triangular element, named SST, is developed. To demonstrate the high accuracy and efficiency of the new element, a variety of structures will be solved. The findings will prove that the presented element has a low sensitivity to the geometric distortion. Moreover, the parasitic shear error will not arise when this element is employed. In addition to these, the proposed element is rotational invariant. Comparison studies will reveal that the SST element is more robust than the other well-known triangular ones.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001400004&lng=en&tlng=enFinite elementoptimal criteriageometric distortiontriangular elementplane problemparasitic shear
collection DOAJ
language English
format Article
sources DOAJ
author M. Rezaiee-Pajand
M. Yaghoobi
spellingShingle M. Rezaiee-Pajand
M. Yaghoobi
A robust triangular membrane element
Latin American Journal of Solids and Structures
Finite element
optimal criteria
geometric distortion
triangular element
plane problem
parasitic shear
author_facet M. Rezaiee-Pajand
M. Yaghoobi
author_sort M. Rezaiee-Pajand
title A robust triangular membrane element
title_short A robust triangular membrane element
title_full A robust triangular membrane element
title_fullStr A robust triangular membrane element
title_full_unstemmed A robust triangular membrane element
title_sort robust triangular membrane element
publisher Marcílio Alves
series Latin American Journal of Solids and Structures
issn 1679-7825
description To analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium conditions, a novel triangular element, named SST, is developed. To demonstrate the high accuracy and efficiency of the new element, a variety of structures will be solved. The findings will prove that the presented element has a low sensitivity to the geometric distortion. Moreover, the parasitic shear error will not arise when this element is employed. In addition to these, the proposed element is rotational invariant. Comparison studies will reveal that the SST element is more robust than the other well-known triangular ones.
topic Finite element
optimal criteria
geometric distortion
triangular element
plane problem
parasitic shear
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001400004&lng=en&tlng=en
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