Self-similar models and size effect of multiple fracture

Borodich, Feodor M. ORCID: https://orcid.org/0000-0002-7935-0956 2001. Self-similar models and size effect of multiple fracture. Fractals 9 (1) , pp. 17-30. 10.1142/S0218348X01000579

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Abstract

Multiple fracture of polyphase quasi-brittle materials is analyzed from the standpoint of similarity methods. First, two self-similar models of development of a cloud of micro- and mesocracks in an unbounded solid are constructed. Both presented models supposed that the main part of the process zone is wedge-shaped and the process zone is bounded by an arc of a circle with the center at the main crack tip. The former model is based on the hypothesis of discontinuous self-similar character of the main crack propagation, while the latter model employs physical fractal approach. Finally, the problem of size effect for bounded models is studied. It is assumed that the main cause of the size effect is that the process zone cannot be fully developed in a bounded model of a real size construction.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Fractal fracture ; fractal mechanics
Additional Information:	The paper was presented at Minisymposium: Fractals and Scaling in Industrial and Environmental Applications, the 4th International Congress on Industrial and Applied Mathematics (ICIAM 99), Edinburgh, 5–9 July, 1999.
Publisher:	World Scientific Publishing
ISSN:	0218-348X
Last Modified:	17 Oct 2022 09:41
URI:	https://orca.cardiff.ac.uk/id/eprint/5159

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