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The ‘fractal assumption’ in cracks: Bilateral calculation methods
Author(s) -
Theocaris P. S.,
Panagiotopoulos P. D.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360911
Subject(s) - fractal , mathematics , geometry , fractal dimension on networks , fractal landscape , point (geometry) , limit (mathematics) , fractal derivative , transformation (genetics) , sequence (biology) , mathematical analysis , stress intensity factor , fractal dimension , fractal analysis , structural engineering , finite element method , engineering , biochemistry , chemistry , genetics , biology , gene
The paper considers the fractal nature of cracks by assuming the fractal as the fixed point of a given transformation. This concept enables the study of a sequence of classical‐geometry crack problems whose limit gives the solution of the fractal‐geometry crack problem. The method is illustrated by a numerical example. It was shown that the fractal nature of the cracks influences the value of the stress intensity factors.