Fractal cracks
type: Item
instance of: scholarly article
title: Fractal cracks
zbMATH Open document ID: 0786.73059
DOI: 10.1016/0021-8928(92)90089-Q
author: R. V. Gol'dshtejn
author: A. B. Mosolov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-07T00:00:00Z
review text: An attempt is made to take into account the irregular structure of the surface of a real crack in describing the fracture process. The crack surface is modelled using a fractal set of fractional dimension. Using the self-similarity of the fractal, a hierarchical process of the transfer of elastic energy generated during the motion of the crack tip from one scale to another is suggested. Analysis of this process makes it possible to obtain asymptotic expressions for describing the behaviour of the cracks and displacements near the crack tip. The propagation of a fractal crack in a brittle material is analysed from the positions of the Griffith's criterion.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 500935
zbMATH Keywords: fractal set of fractional dimension
zbMATH Keywords: self-similarity
zbMATH Keywords: hierarchical process
zbMATH Keywords: transfer of elastic energy
zbMATH Keywords: asymptotic expressions
zbMATH Keywords: Griffith's criterion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 500935