Skip navigation
Skip navigation

A Hybrid-Trefftz element containing eliptic hole

Dhanasekar, Manicka; Han, Jian Jun; Qin, Qing Hua

Description

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...[Show more]

dc.contributor.authorDhanasekar, Manicka
dc.contributor.authorHan, Jian Jun
dc.contributor.authorQin, Qing Hua
dc.date.accessioned2015-12-07T22:48:11Z
dc.identifier.issn0168-874X
dc.identifier.urihttp://hdl.handle.net/1885/26380
dc.description.abstractMuch 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.
dc.publisherElsevier
dc.sourceFinite Elements in Analysis and Design
dc.subjectKeywords: Computational geometry; Finite element method; Functions; Integral equations; Optimization; Cauchy integral; Complex variables; Elliptic hole; Hybrid-Trefftz finite elements; Mapping function; Crack propagation Cauchy integral; Complex variable; Elliptic hole; Hybrid-Trefftz finite element; Mapping function
dc.titleA Hybrid-Trefftz element containing eliptic hole
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume42
dc.date.issued2006
local.identifier.absfor091301 - Acoustics and Noise Control (excl. Architectural Acoustics)
local.identifier.ariespublicationu4251866xPUB44
local.type.statusPublished Version
local.contributor.affiliationDhanasekar, Manicka, Central Queensland University
local.contributor.affiliationHan, Jian Jun, Central Queensland University
local.contributor.affiliationQin, Qing Hua, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue14-15
local.bibliographicCitation.startpage1314
local.bibliographicCitation.lastpage1323
local.identifier.doi10.1016/j.finel.2006.06.008
local.identifier.absseo870302 - Metals (e.g. Composites, Coatings, Bonding)
dc.date.updated2015-12-07T11:58:12Z
local.identifier.scopusID2-s2.0-33748090620
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Dhanasekar_A_Hybrid-Trefftz_element_2006.pdf486.61 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator