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A Hybrid-Trefftz element containing an elliptic hole

journal contribution
posted on 06.12.2017, 00:00 by Manicka DhanasekarManicka Dhanasekar, Jian HanJian Han, Q Qin
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 [4] 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.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

42

Start Page

1314

End Page

1323

Number of Pages

10

ISSN

0168-874X

Location

London, UK

Publisher

Elsevier

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Centre for Railway Engineering; Dept. of Engineering; TBA Research Institute;

Era Eligible

Yes

Journal

Finite Elements in Analysis and Design.