THE FRACTAL ASSUMPTION IN CRACKS - BILATERAL CALCULATION METHODS

Authors
THEOCARIS PS PANAGIOTOPOULOS PD
Citation
Ps. Theocaris et Pd. Panagiotopoulos, THE FRACTAL ASSUMPTION IN CRACKS - BILATERAL CALCULATION METHODS, International journal for numerical methods in engineering, 36(9), 1993, pp. 1597-1604
Citations number
18
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
36
Issue
9
Year of publication
1993
Pages
1597 - 1604
Database
ISI
SICI code
0029-5981(1993)36:9<1597:TFAIC->2.0.ZU;2-M
Abstract
The paper considers the fractal nature of cracks by assuming the fract al as the fixed point of a given transformation. This concept enables the study of a sequence of classical-geometry crack problems whose lim it gives the solution of the fractal-geometry crack problem. The metho d is illustrated by a numerical example. It was shown that the fractal nature of the cracks influences the value of the stress intensity fac tors.