Shakedown of elastic-thermo-plastic structures
Abstract
Recently formulated shakedown theorems for materials with temperature-dependent yield stress [1] are applied to evaluation of the elastic shakedown boundary. In order to simulate actual shakedown behaviour of elastic-thermo-plastic structures resulting from experimental investigations, the material model of the German mild steel St 37 is considered. It is found that the obtained elastic shakedown boundaries are within the corresponding boundaries based on the classical shakedown theory. Two examples are compared with the well-known solutions obtained for the neglected yield stress dependence on temperature.
References
[1] G. Borino, C. Polizzotto. Shakedown theorems for a class of materials with temperature-dependent yield stress. In: D.R.J. Owen, E. Onate, E. Hinton, eds. , Proceedings of the 5-th International Conference on Computational Plasticity, 475- 480. CIMNE, Barcelona, 1997.
[2] F. Giambanco, L. Palizzolo, T. Panzeca. A bounding technique for plastic deformations. Computational Mechanics, 9: 153- 171, 1992.
[3] D. A. Gokhfeld, O. F. Cherniavsky. Limit Analysis of Structures at Thermal Cycling. Sijthoff and Noordhoff, The Netherlands, 1980.
[4] M. Kleiber, J.A. König. Incremental shakedown analysis in the case of thermal effects. Int. J. Num. Meth. Engng. , 20: 1567- 1573, 1984.
[5] J.A. König. A shakedown theorem for temperature-dependent elastic moduli. Bull. Acad. Pol. Sci. Ser. Sci. Tech., 17: 161- 165, 1969.
[2] F. Giambanco, L. Palizzolo, T. Panzeca. A bounding technique for plastic deformations. Computational Mechanics, 9: 153- 171, 1992.
[3] D. A. Gokhfeld, O. F. Cherniavsky. Limit Analysis of Structures at Thermal Cycling. Sijthoff and Noordhoff, The Netherlands, 1980.
[4] M. Kleiber, J.A. König. Incremental shakedown analysis in the case of thermal effects. Int. J. Num. Meth. Engng. , 20: 1567- 1573, 1984.
[5] J.A. König. A shakedown theorem for temperature-dependent elastic moduli. Bull. Acad. Pol. Sci. Ser. Sci. Tech., 17: 161- 165, 1969.
Published
2023-04-03
Issue
pp. 239-245
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Vranković, N., Stegić, M., & Kranjčević, N. (2023). Shakedown of elastic-thermo-plastic structures. Computer Assisted Methods in Engineering and Science, 7(2), 239-245. https://cames3.ippt.pan.pl/index.php/cames/article/view/1254
