2012
DOI: 10.2478/s11534-012-0030-2
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Spring-block approach for crack patterns in glass

Abstract: Abstract:Fracture patterns resulting from point-like impact acting perpendicularly on the plane of a commercial sodalime glass plate is modelled by a spring-block system. The characteristic patterns consist of crack lines that are spreading radially from the impact point and concentric arcs intersecting these radial lines. Experimental results suggest that the number of radial crack lines is scaling linearly with the energy dissipated during the crack formation process. The elaborated spring-block model reprod… Show more

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Cited by 5 publications
(7 citation statements)
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“…This increase in the spring stress may lead to breaking and/or block slipping events. The relaxation of the stress by spring breaking or block slipping events can lead to avalanche-like processes, as it is illustrated in Figure 2b (see also [9][10][11][12][13]). In the three-dimensional (3D) approach considered here, the blocks are placed on the sites of random 3D lattice and the nearest neighbors detected by a Voronoi tessellation are connected by springs.…”
Section: The Three-dimensional Spring-block Model For Quasistatimentioning
confidence: 96%
See 2 more Smart Citations
“…This increase in the spring stress may lead to breaking and/or block slipping events. The relaxation of the stress by spring breaking or block slipping events can lead to avalanche-like processes, as it is illustrated in Figure 2b (see also [9][10][11][12][13]). In the three-dimensional (3D) approach considered here, the blocks are placed on the sites of random 3D lattice and the nearest neighbors detected by a Voronoi tessellation are connected by springs.…”
Section: The Three-dimensional Spring-block Model For Quasistatimentioning
confidence: 96%
“…In the most common two-dimensional version of the model identical blocks interconnected by a regular network of springs can slide on a frictional surface [9][10][11][12][13]. When one adopts this model to explain the drying of thin layers of wet granular material on a frictional surface, the blocks model the granules and the springs represents the capillary forces of the liquid between them [9,10].…”
Section: The Three-dimensional Spring-block Model For Quasistatimentioning
confidence: 99%
See 1 more Smart Citation
“…It is known from the literature [13,14] that cracking of a glass pane near the center of an impact point leads to the formation of radial cracks/ fractures, propagating from the center, and concentric fractures surrounding the impact point. Shapes of fractures in the window glass B (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…Spring-block type models have broad interdisciplinary applications (for a recent review see [5]), and prove to be very useful in describing many complex phenomena in different areas of science. For example, they have been applied successfully to explain elements of the Portevin-Le Chatelier effect [6], the fragmentation obtained in drying granular materials in contact with a frictional surface [7][8][9], to understand the formation of self-organized nanostructures produced by capillary effects [10,11], to model magnetization processes and Barkhausen noise [12], to describe glass fragmentation [13], and even for modeling highway traffic [14,15].…”
Section: Introductionmentioning
confidence: 99%