Three-dimensional mixed mode analysis of a cracked body by fractal finite element method

R. K L Su; A. Y T Leung

doi:10.1023/A:1010928426987

Author(s)

R. K L Su
A. Y T Leung

Detail(s)

Original language	English
Pages (from-to)	1-20
Journal / Publication	International Journal of Fracture
Volume	110
Issue number	1
Publication status	Published - Jul 2001
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1023/A:1010928426987 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0035395178&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(2ad4a3ec-81e7-4aa6-a0a5-3b10b06dd8f0).html

Abstract

A semi-analytical method namely fractal finite element method is presented for the determination of stress intensity factor for the straight three-dimenisonal plane crack. Using the concept of fractal geometry, infinite many of finite elements are generated virtually around the crack border. Based on the analytical global displacement function, numerous DOFs are transformed to a small set of generalised coordinates in an expeditious way. No post-processing and special finite elements are required to develop for extracting the stress intensity factors. Examples are given to illustrate the accuracy and efficiency of the present method. Very good accuracy (with less than 3% errors) is obtained for the maximum value of SIFs for different modes.

Research Area(s)

Finite element method, Fractal, Mixed mode, Solid, Stress intensity factors, Three-dimensional crack, Transformation

Citation Format(s)

[ RIS ] [ BibTeX ]

Three-dimensional mixed mode analysis of a cracked body by fractal finite element method. / Su, R. K L; Leung, A. Y T.
In: International Journal of Fracture, Vol. 110, No. 1, 07.2001, p. 1-20.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Su, RKL & Leung, AYT 2001, 'Three-dimensional mixed mode analysis of a cracked body by fractal finite element method', International Journal of Fracture, vol. 110, no. 1, pp. 1-20. https://doi.org/10.1023/A:1010928426987

Su, R. K. L., & Leung, A. Y. T. (2001). Three-dimensional mixed mode analysis of a cracked body by fractal finite element method. International Journal of Fracture, 110(1), 1-20. https://doi.org/10.1023/A:1010928426987

Su RKL, Leung AYT. Three-dimensional mixed mode analysis of a cracked body by fractal finite element method. International Journal of Fracture. 2001 Jul;110(1):1-20. doi: 10.1023/A:1010928426987

Su, R. K L ; Leung, A. Y T. / Three-dimensional mixed mode analysis of a cracked body by fractal finite element method. In: International Journal of Fracture. 2001 ; Vol. 110, No. 1. pp. 1-20.