Application of an equivalent truss model for determining the stress state in multi-phase materials with cellular automata method

• Autorzy: Staszczyk A. , Sawicki J.

Identyfikatory

DOI

10.12913/22998624/68730

• Języki publikacji: EN

Abstrakty

EN

The Cellular Automata represent a universal method of modelling and simulation. They enable the performance of calculations for even the most complex processes and phenomena. They are also used successfully in mechanical and material engineering. In this paper, the concept of application of the Cellular Automata method for simulating the behaviour of material under stress is presented. The proposed numerical algorithm created performs a number of calculations of local stress states in the structure of precipitation hardened material. The principle of its operation is based on the application of the equivalent truss model, which is often used in the optimisation and design of structures. In this paper, this model was used to simulate a system embodying a section of the material containing various phases with different mechanical properties.

Słowa kluczowe

EN

Cellular Automata; numerical methods; stress state; strength of materials; precipitation hardening

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2017
• Tom: Vol. 11, no 2
• Strony: 51--57
• Opis fizyczny: Bibliogr. 12 poz., fig., tab.

Twórcy

autor

Staszczyk A.

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

autor

Sawicki J.

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

Bibliografia

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• 3. von Neumann J.: Theory of self-reproducing automata. Urbana: University of Illinois, 1969.
• 4. Wolfram S.: A New Kind of Science. Champaign: Wolfram Media, 2002.
• 5. Dewei F.: Numerical computing method Based on Cellular Automata. 3rd International Conference on Computer and Electrical Engineering. 53, 2012, 201–205.
• 6. Tatting B., Gurdal Z.: Cellular Automata for Design of Two-dimensional Continuum Structures. American Institute of Aeronautics and Astronautics, 8th Symposium on Multidisciplinary Analysis and Optimization, 2000.
• 7. Gurdal Z., Abdalla M.: Structural Design Using Optimality Based Cellular Automata. American Institute of Aeronautics and Astronautics Paper, 1676, 2002.
• 8. Abdalla M. M., Gürdal Z.: Structural design using Cellular Automata for eigenvalue problems. Structural and Multidisciplinary Optimization, 25, 2003, 1–9.
• 9. Kita E., Toyoda T.: Structural design using cellular automata. Structural and Multidisciplinary Optimization, 19 (1), 2000, 64–73.
• 10. Tatting B., Gurdal Z.: Cellular Automata for Design of Truss Structures with Linear and Nonlinear Response. American Institute of Aeronautics and Astronautics Paper, 2000.
• 11. Zakhama R., Abdalla M.: Topology design of geometrically nonlinear 2D elastic continua using CA and an equivalent truss model. 11th AIAA/ISSMO Multidiscipinary Analysis and Optimization Conference, 2006, 1–10.
• 12. Slotta D. J., Tatting B., Watson L. T., Gurdal Z., Missoum S.: Convergence analysis for cellular automata applied to truss design. Engineering Computations, 19 (7/8), 2002, 953–969.

Uwagi

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