New method for simulating fracture using an elastically uniform random geometry lattice

Schlangen, Erik; Garboczi, E. J.

doi:10.1016/0020-7225(96)00019-5

Cited by 162 publications

(77 citation statements)

References 17 publications

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“…Crack tortuosities, as defined here, are thought not to be especially high [Schlangen and Garboczi, 1996]. Gelain and Vendel [2008] found tortuosity of 1.27 for membrane stress cracks through a 10 cm concrete panel and compared this to values of 1.36 and 1.249 reported by others.…”

Section: Concrete Crackssupporting

confidence: 50%

Aerosol penetration of leak pathways : an examination of the available data and models.

Powers¹

2009

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Data and models of aerosol particle deposition in leak pathways are described. Pathways considered include capillaries, orifices, slots and cracks in concrete. The Morewitz-Vaughan criterion for aerosol plugging of leak pathways is shown to be applicable only to a limited range of particle settling velocities and Stokes numbers. More useful are sampling efficiency criteria defined by Davies and by Liu and Agarwal.

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Section: Concrete Crackssupporting

confidence: 50%

Aerosol penetration of leak pathways : an examination of the available data and models.

Powers¹

2009

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“…Regular lattice models, by virtue of site symmetry, exhibit such elastic uniformity, whereas irregular lattices are generally not elastically uniform. 10 The lattices indicated in Fig. 4 are subjected to both uniform stretching ͑u 1 = x 1 ; u 2 =0͒ and combined stretching and shear ͑u 1 = u 2 = x 1 + x 2 ͒.…”

Section: A Elastic Uniformity Of Irregular Latticesmentioning

confidence: 99%

Irregular lattice model for quasistatic crack propagation

2005

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An irregular lattice model is proposed for simulating quasistatic fracture in softening materials. Lattice elements are defined on the edges of a Delaunay tessellation of the medium. The dual ͑Voronoi͒ tessellation is used to scale the elemental stiffness terms in a manner that renders the lattice elastically homogeneous. This property enables the accurate modeling of heterogeneity, as demonstrated through the elastic stress analyses of fiber composites. A cohesive description of fracture is used to model crack initiation and propagation. Numerical simulations, which demonstrate energy-conserving and grid-insensitive descriptions of cracking, are presented. The model provides a framework for the failure analysis of quasibrittle materials and fiber-reinforced brittle-matrix composites.

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“…[4][5][6][7][8][9][10][11][12][13][14][15] First this approach has been applied to "fuse networks"-networks of resistors that are able to burn out at a certain critical load. The main focus of this research has been on such phenomena as threshold scaling, influence of the distribution of local properties on macroscopic behavior, and scaling of the damage-profile roughness.…”

Section: Introductionmentioning

confidence: 99%

Scaling and localization in fracture of disordered central-force spring lattices: Comparison with random damage percolation

Malakhovsky

Michels

2006

Phys. Rev. B

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New method for simulating fracture using an elastically uniform random geometry lattice

Cited by 162 publications

References 17 publications

Aerosol penetration of leak pathways : an examination of the available data and models.

Aerosol penetration of leak pathways : an examination of the available data and models.

Irregular lattice model for quasistatic crack propagation

Scaling and localization in fracture of disordered central-force spring lattices: Comparison with random damage percolation

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