Cellular automata in damage mechanics: creep rupture case

• Autorzy: Chrzanowski M. , Nowak K.
• Konferencja: Solid Mechanics Conference (35 ; 04-08.09.2006 ; Cracow, Poland)
• Języki publikacji: EN

Abstrakty

EN

In the paper, the cellular automata (CA) method for the description of damage formation introduced in [I], is extended over creep circumstance by introducing grain boundaries. The material structure is modelled by Voronoi-like tessellation with distance measure corresponding to Moore neighbourhood. The size of Representative Volume Element (RVE) is determined by the number of grains, seed nodes of which are distributed by a homogeneous Poisson point process. The global number of cells to be damaged is subjected to the mass conservation law. Additionally, probabilistic rules, which cause the damage to develop in form of microcracks, microvoids, large voids or a combination of voids and cracks are used. Loading through imposed deformation of RVE is continued until damage cells form a continuous path spanning opposite sides of RVE. In terms of continuum damage mechanics, this situation corresponds to the damage parameter reaching the critical value in a given material point. The results obtained in this paper for polycrystalline material have been compared with a material of homogenous structure.

Słowa kluczowe

EN

cellular automata; damage mechanics; creep rupture; pollycrystalline material; homogenous material; damage evolution; probabilistic rules

PL

automat komórkowy; mechanika zniszczenia; pękanie; pełzanie; materiał polikrystaliczny; materiał jednorodny; rozwój zniszczenia; reguły prawdopodobieństwa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 4-5
• Strony: 329--339
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Chrzanowski M.

autor

Nowak K.

• Cracow University of Technology Kraków, Poland

Bibliografia

• 1. P. MATIC, A. B. GELTMACHER, A cellular automat on-based technique for modeling mul-tiscale damage evolution. Computational Materials Science, 20, 120-141, 2001.
• 2. R. J. FIELDS, T. WEERASOORIYA, M. F. ASHBY, Fracture Mechanisms in Pure Iron, Two Austenitic Steels and One Ferritic Steel, Metall. Trans. A., 11A, 2, 333-347, 1980
• 3. NIST, Annual Report, Metallurgy Division of MSEL, National Institute of Standards and Technology, http://www.metallurgy.nist.gov/mechanical properties, 2001.
• 4. J. JANSON, J. HULT, Fracture mechanics and damage mechanics - a combined approach, J. de Mec. Appliquee, 1, 69-84, 1977.
• 5. L.M. KACHANOV, On creep rupture time [in Russian], Izv. AN SSSR OTN, 8, 26-31, 1958.
• 6. A. BODNAR, M. CHRZANOWSKI, On creep rupture of rectangular plates, ZAMM, 82, 201-205, 2002.
• 7. K. KULAKOWSKI, Cellular Automata [in Polish], OEN AGH, Krakow 2000.
• 8. S. DAS, E. J. PALMIERE, I.C. HOWARD, Modelling Recrystallisation During Thermomechanical Processing Using CAFE, Materials Science Forum, 467-470, 1, 623-628, 2004.
• 9. J. GAWAD, P. MACIOL, M. PIETRZYK, Multiscale Modelling of Microstructure and Macroscopic Properties in Thixoform/ing Process Using Cellular Automation Technique, Archives of Metallurgy and Materials, 50, 549-562, 2005.
• 10. A. I. ADAMATZKY, Voronoi-Like Partition of Lattice in Cellular Automata, Mathematical and Computer Modelling, 23, 4, 51-66, 1996.