J. Oliver, “Modeling Strong Discontinuities in Solid Mechanics via Strain Softening Constitutive Equations. Part 2: Numerical Simulation,” International Journal for Numerical Method in Engineering, Vol. 39, No. 21, 1996, pp. 3601-3623. doi:10.1002/(SICI)1097-0207(19961115)39:21<3601::AID-NME64>3.0.CO;2-4

has been cited by the following article:

• TITLE: Fractal Cracks Propagation in Aluminum

  AUTHORS: Francisco Casanova del Angel, Jaime Retama Velasco

  KEYWORDS: Geometrical Fractal Fracture; Crack Propagation; Aluminum; Stress Intensity Factor; Fractal Dimension

  JOURNAL NAME: Modeling and Numerical Simulation of Material Science, Vol.3 No.3A, August 7, 2013

  ABSTRACT: The theory of the fractal structure characterizing propagation of a crack through identification of its generator is presented. It’s generating fractal, the peculiarities of its construction and the way to measure its segments are defined, and a theorem on the inverse scale property of such and other of the axial symmetry property of the fractal generator are presented and demonstrated. The theory is applied on 6061-T6 aluminum samples, using SENB probes. Direction of crack propagation and its fractal dimension are calculated numerically. Results obtained from modeling the direction of crack propagation through mechanics of elastic linear fracture and the one proposed here, called geometrical fractal fracture, are compared, thus developing the mirror case.