A Hybrid-Trefftz element containing eliptic hole

Date

2006

Authors

Dhanasekar, Manicka
Han, Jian Jun
Qin, Qing Hua

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

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.

Description

Keywords

Keywords: 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

Citation

Source

Finite Elements in Analysis and Design

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

Restricted until

2037-12-31