A hybrid-Trefftz element containing an elliptic hole

Manicka Dhanasekar; Jianjun Han; Qinghua Qin

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A hybrid-Trefftz element containing an elliptic hole

机译：A hybrid-Trefftz element containing an elliptic hole

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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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来源
《Finite elements in analysis & design》 |2006年第15期|1314-1323|共10页
作者
Manicka Dhanasekar; Jianjun Han; Qinghua Qin;
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作者单位

Centre for Railway Engineering, Central Queensland University, Building 70, Rockhampton Campus, Rockhampton, QLD 4702, Australia;

harmacy.wisc.edu;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
hybrid-trefftz finite element; elliptic hole; complex variable; mapping function; cauchy integral;

A hybrid-Trefftz element containing an elliptic hole

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