Plastic Behaviour of Crystal Aggregates

• Autorzy: Gambin W.
• Konferencja: International Conference on Modelling in Mechatronics (9 ; 02-04.09.2004 ; Kazimierz Dolny, Poland)
• Języki publikacji: EN

Abstrakty

EN

The basic notions of the physical theory of plasticity are recalled. At first, the classical model of polycrystal behaviour is briefly described. The model assumes the piece-wise linear yield surface with sharp plastic corners. Non-analytical form of the surface causes that the model cannot be formulated in terms of a closed system of equations. To avoid the problem, a model of crystal plasticity based on the concept of yield surfaces with rounded-off corners has been proposed. The model was the basis for description of crystal aggregates behaviour. Here, the polycrystal behaviour was fully determined by a complete system of equations. It has enabled to use the standard FEM analysis for description of material behaviour during metal forming processes. Below, using the above model of crystal aggregate behaviour, the evolution of plastic anisotropy in drawing wires, rolled or sheared sheets is presented.

Słowa kluczowe

EN

crystal plasticity; polycrystal plasticity; smooth yield surfaces; texture development; plastic anisotropy evolution; metal forming processes; FEM analysis

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2004
• Tom: Vol. 28, No. 3
• Strony: 101--106
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Gambin W.

• Warsaw University of Technology, Division of Applied Mechanics,

Bibliografia

• [1] Bishop, J.F.W., Hill, R., 1951, A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Philosophical Magazine 42, 7, 414-127.
• [2] Diehl, J., Zugverformung von Kupfer-Einkristallen, 1956, Z. Metalik. 47, p. 331.
• [3] Gambin, W., 1991, Crystal plasticity based on yield surface with rounded-off corners, ZAMM 71(4), T 265-T 268.
• [4] Gambin W., 1992, Refined analysis of elastic-plastic crystals, bit. J. Solids Structures 29(16), 2013-2021.
• [5] Gambin, W., 2001, Plasticity and Textures, Kluwer Academic Publishers, Dordrecht.
• [6] Kowalczyk, K., 2000, Evolution of plastic anisotropy for strongly deformed metals (in Polish), PhD Thesis, IFTR PAS, Warszawa.
• [7] Kowalczyk, K., Gambin, W., 2004, Model of plastic anisotropy evolution with texture-dependent yield surface, Int. J. Plasticity 20, 19-54.
• [8] Taylor, G. I., Plastic strain in metals, 1938, J. Inst. Metals 62, 307-324.
• [9] Von Mises, R., 1928, Mechanik der plastischen Formanderung von Kristallen, ZAMM 8, 251-293.