Modelling and simulation of core-shell precipitates under tensial loading using the cellular automata method

• Autorzy: Staszczyk A. , Debyser M. , Sawicki J.
• Języki publikacji: EN

Abstrakty

EN

The equivalent truss method has been known for years as a numerical model used in problems with structural optimization. It is often implemented in computational algorithms based on cellular automation (CA). This method (CA) is highly versatile and allows the modelling of phenomena which occur in multiple dimensional scales, including material engineering issues. This paper describes a numerical model used to simulate the stress caused by the external load in a multi-phase material. The authors propose applying the algorithm in modelling the behavior of alloy materials following a thermal treatment which leads to precipitate hardening.

Słowa kluczowe

EN

precipitation hardening; stress state; numerical modelling; core-shell

PL

utwardzanie wydzieleniowe; stan naprężenia; modelowanie numeryczne; rdzeń-warstwa

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 3
• Strony: 443--452
• Opis fizyczny: Bibliogr. 16 poz., il. kolor., wykr.

Twórcy

autor

Staszczyk A.

• Institute of Materials Science and Engineering, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Łódź, Poland

autor

Debyser M.

• Institute of Materials Science and Engineering, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Łódź, Poland

autor

Sawicki J.

• Institute of Materials Science and Engineering, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Łódź, Poland

Bibliografia

• [1] Kaczmarek, L., Stegliński, M., Radziszewska, H., Kołodziejczyk, Ł., Sawicki, J., Szymański, W., Atraszkiewicz, R. and Świniarski, J.: Effect of double-phase segregations formed due to two-stage aging on the strength properties of alloy, PN-EN 2024, Met. Sci. Heat Treat., 54, 9-10, 477-482, 2013.
• [2] Kaczmarek, L., Kula, P., Sawicki, J. Armand, S., Castro, T., Kruszyński, P. and Rochel, A.: New possibilities of applicxations aluminum alloys in transport, Arch. Metall. Mater., 54, 4, 1199-1205, 2009.
• [3] Sawicki, J., Dudek, M., Kaczmarek, L., Więcek, B., Światczak, T. and Olbrycht, R.: Numerical analysis of thermal stresses in carbon films obtained by RF PECVD method on surface of cannulated screw, Arch. Metall. Mater., 58, 1, 77-81, 2013.
• [4] Shen, Y., Li, Y., Li, Z., Wan, H. and Nie, P.: An improvement on the three-dimensional phase-field microelasticity theory for elastically and structurally inhomogeneous solids, Scr. Mater., 60, 10, 901-904, 2009.
• [5] Chiang, C.: Stress concentration around a triaxial ellipsoidal cavity, Arch. Appl. Mech., 85, 469-479, 2015.
• [6] Hamid, M., Pilvin, P., Bridier, F. and Bocher, P.: Modeling the elastoplastic behaviors of alpha Ti-alloys microstructure using Cellular Automaton and finite element methods, Comput. Mater. Sci., 99, 33-42, 2015.
• [7] Montheillet, F. and Gilormini, P.: Predicting the mechanical behavior of two-phase materials with cellular automata, Int. J. Plast., 12, 4, 561-574, 1996.
• [8] Bastajib, R., Boutana, N., Bocher, P. and Jahazi, M.: Application of cellular automata method to simulate the hot deformation behavior of a dual phase titanium alloy, Tech. Mech., 30 1-3, 1-14, 2010.
• [9] von Neumann, J.: Theory of self-reproducing automata, Urbana: University of Illinois, 1969.
• [10] Wolfram, S.: A New Kind of Science, Champaign: Wolfram Media, 2002.
• [11] Abdalla, M. M. and Gurdal, Z.: Structural design using Cellular Automata for eigenvalue problems, Struct. Multidiscip. Optim., 25, 1-9, 2013.
• [12] Gurdal, Z. and Abdalla, M.: Structural Design Using Optimality Based Cellular Automata, Am. Inst. Aeronaut. Astronaut., 1676, 2002.
• [13] Kita, E. and Toyoda, T.: Structural design using cellular automata, Struct. Multidiscip. Optim., 19, 1, 64-73, 2000.
• [14] Tatting, B. and Gurdal, Z.: Cellular Automata for Design of Two-dimensional Continuum Structures, Am. Inst. Aeronaut. Astronaut., 8th Symp. Multidiscip. Anal. Optim., 2000.
• [15] Slotta, D. J., Tatting, B., Watson, L. T., Gurdal Z. and Missoum, S.: Convergence analysis for cellular automata applied to truss design, Eng. Comput., 19, 7-8, 953-969, 2002.
• [16] Zakhama, R. and Abdalla, M.: Topology design of geometrically nonlinear 2D elastic continua using CA and an equivalent truss model, 11th AIAA/ISSMO Multidiscip. Anal. Optim. Conf., 2006.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).