A hybrid-Trefftz element containing an elliptic hole

Manicka Dhanasekar; Jianjun Han; Qinghua Qin

doi:10.1016/j.finel.2006.06.008

A hybrid-Trefftz element containing an elliptic hole

Manicka Dhanasekar^*, Jianjun Han, Qinghua Qin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

Abstract

Much work on special elements that simplify geometrical modelling of structures containing holes, cracks and/ or inclusions has been reported extensively in the literature. This paper presents a hybrid-Trefftz element containing elliptic hole formulated using Hellinger-Reissner principle by employing trial functions based on the mapping technique and the Cauchy integral method. The element presented in this paper could be regarded as an improved formulation over Piltner [Special finite elements with holes and internal cracks, Int. J. Numer. Methods Eng. 21 (1985) 1471-1485] element because the chosen trail functions in this paper have provided relatively more stable solutions. The use of the element with other ordinary displacement-based finite elements has also yielded very accurate solutions even when very coarse meshes relative to the size of the elliptic hole have been used.

Original language	English
Pages (from-to)	1314-1323
Number of pages	10
Journal	Finite Elements in Analysis and Design
Volume	42
Issue number	14-15
DOIs	https://doi.org/10.1016/j.finel.2006.06.008
Publication status	Published - Oct 2006

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10.1016/j.finel.2006.06.008

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title = "A hybrid-Trefftz element containing an elliptic hole",

abstract = "Much work on special elements that simplify geometrical modelling of structures containing holes, cracks and/ or inclusions has been reported extensively in the literature. This paper presents a hybrid-Trefftz element containing elliptic hole formulated using Hellinger-Reissner principle by employing trial functions based on the mapping technique and the Cauchy integral method. The element presented in this paper could be regarded as an improved formulation over Piltner [Special finite elements with holes and internal cracks, Int. J. Numer. Methods Eng. 21 (1985) 1471-1485] element because the chosen trail functions in this paper have provided relatively more stable solutions. The use of the element with other ordinary displacement-based finite elements has also yielded very accurate solutions even when very coarse meshes relative to the size of the elliptic hole have been used.",

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author = "Manicka Dhanasekar and Jianjun Han and Qinghua Qin",

year = "2006",

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T1 - A hybrid-Trefftz element containing an elliptic hole

AU - Dhanasekar, Manicka

AU - Han, Jianjun

AU - Qin, Qinghua

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AB - Much work on special elements that simplify geometrical modelling of structures containing holes, cracks and/ or inclusions has been reported extensively in the literature. This paper presents a hybrid-Trefftz element containing elliptic hole formulated using Hellinger-Reissner principle by employing trial functions based on the mapping technique and the Cauchy integral method. The element presented in this paper could be regarded as an improved formulation over Piltner [Special finite elements with holes and internal cracks, Int. J. Numer. Methods Eng. 21 (1985) 1471-1485] element because the chosen trail functions in this paper have provided relatively more stable solutions. The use of the element with other ordinary displacement-based finite elements has also yielded very accurate solutions even when very coarse meshes relative to the size of the elliptic hole have been used.

KW - Cauchy integral

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KW - Elliptic hole

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KW - Mapping function

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DO - 10.1016/j.finel.2006.06.008

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JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

IS - 14-15

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A hybrid-Trefftz element containing an elliptic hole

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