Dynamic fragmentation: Geometric approach
2007
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Dynamic fragmentation is a complex and common phenomenon in nature and technological systems. The main task in fragmentation modeling is determination of the fragment size (or mass) distribution law. There are several approaches to the fragmentation problem – empirical, probabilistic, energetic, approach based on fracture mechanics, etc. In the present paper we consider a general approach based on the simple assumption of random geometric partition of a body, following early Lineau [1], Mott [2] and well-known Grady-Kipp work [3]. Starting from the Poisson distribution of fracture sites (points, lines or planes), size distribution laws are derived for 1D, 2D and 3D geometries. Geometric fragmentation models based on the Mott and Grady-Kipp approaches are discussed, as well as the model originated from the Voronoi diagrams. The results of presented models are compared with numerical simulations and experimental data,
showing significant compatibility with certain limitations.
Ključne reči:
dynamic fragmentation / geometric statistics / fragment size distribution / Voronoi diagramsIzvor:
First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007, 2007, 647-652Izdavač:
- Serbian Society of Mechanics
Finansiranje / projekti:
- Ministarstvo nauke Republike Srbije: TD7041 – Studija izvodljivosti restrukturiranja odabranih kapaciteta vojne industrije
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Elek, Predrag AU - Jaramaz, Slobodan PY - 2007 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4995 AB - Dynamic fragmentation is a complex and common phenomenon in nature and technological systems. The main task in fragmentation modeling is determination of the fragment size (or mass) distribution law. There are several approaches to the fragmentation problem – empirical, probabilistic, energetic, approach based on fracture mechanics, etc. In the present paper we consider a general approach based on the simple assumption of random geometric partition of a body, following early Lineau [1], Mott [2] and well-known Grady-Kipp work [3]. Starting from the Poisson distribution of fracture sites (points, lines or planes), size distribution laws are derived for 1D, 2D and 3D geometries. Geometric fragmentation models based on the Mott and Grady-Kipp approaches are discussed, as well as the model originated from the Voronoi diagrams. The results of presented models are compared with numerical simulations and experimental data, showing significant compatibility with certain limitations. PB - Serbian Society of Mechanics T2 - First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007 T1 - Dynamic fragmentation: Geometric approach EP - 652 SP - 647 UR - https://hdl.handle.net/21.15107/rcub_machinery_4995 ER -
@article{ author = "Elek, Predrag and Jaramaz, Slobodan", year = "2007", abstract = "Dynamic fragmentation is a complex and common phenomenon in nature and technological systems. The main task in fragmentation modeling is determination of the fragment size (or mass) distribution law. There are several approaches to the fragmentation problem – empirical, probabilistic, energetic, approach based on fracture mechanics, etc. In the present paper we consider a general approach based on the simple assumption of random geometric partition of a body, following early Lineau [1], Mott [2] and well-known Grady-Kipp work [3]. Starting from the Poisson distribution of fracture sites (points, lines or planes), size distribution laws are derived for 1D, 2D and 3D geometries. Geometric fragmentation models based on the Mott and Grady-Kipp approaches are discussed, as well as the model originated from the Voronoi diagrams. The results of presented models are compared with numerical simulations and experimental data, showing significant compatibility with certain limitations.", publisher = "Serbian Society of Mechanics", journal = "First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007", title = "Dynamic fragmentation: Geometric approach", pages = "652-647", url = "https://hdl.handle.net/21.15107/rcub_machinery_4995" }
Elek, P.,& Jaramaz, S.. (2007). Dynamic fragmentation: Geometric approach. in First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007 Serbian Society of Mechanics., 647-652. https://hdl.handle.net/21.15107/rcub_machinery_4995
Elek P, Jaramaz S. Dynamic fragmentation: Geometric approach. in First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007. 2007;:647-652. https://hdl.handle.net/21.15107/rcub_machinery_4995 .
Elek, Predrag, Jaramaz, Slobodan, "Dynamic fragmentation: Geometric approach" in First International Congress of Serbian Society of Mechanics, Kopaonik, 10-13 April 2007 (2007):647-652, https://hdl.handle.net/21.15107/rcub_machinery_4995 .