Abstract
The aim of this lecture is to show, how the general theory, as presented in the first lecture, can be applied to structural elements. Here, we concentrate on thin-walled shells and plates, taking certain geometrical effects into account that may occur during the loading history.
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References
Basar, Y. and Krätzig, W.B. (1985). Mechanik der Flächentragwerke. Braunschweig: Vieweg.
Bieniek, M.P. and Funaro, J.R. (1976). Elastic plastic Theory of Shells and Plates. Report No. DNA 3954 T, New York: Weidlinger Associates.
Gross-Weege, J. (1990). A unified formulation of statical shakedown criteria for geometrically nonlinear problems. Int. J. Plasticity 6: 433–447.
Gross-Weege, J. and Weichert, D. (1992). Elastic-plastic shells under variable mechanical and thermal loads. Int. J. Mech. Sci. 34: 863–880.
Gross-Weege, J. and Weichert, D. (1995). Shakedown of shells undergoing moderate rotations. In Mróz, Z., Weichert, D. and Dorosz, S., eds. Inelastic Behaviour of Structures under Variable Loads. Amsterdam: Kluwer Academic Publishers. 263–277.
Ilyuschin, A. A. (1956). Plasticity. Paris: Eyrolles.
Pycko, S. and König, J.A. (1991). Steady plastic cycles on reference configuration in the presence of second-order geometric effects. Eur. J. Mech. A/Solids 10: 563–574.
Saczuk, J. and Stumpf, H. (1990). On Statical Shakedown Theorems for Non-linear Problems. IfMReport, No 74, Ruhr-Universität, Bochum.
Sawczuk, A. (1982). On plastic shell theories at large strains and displacements. Int. J. Mech. Sci. 24: 231–244.
Tritsch, J. B. (1993). Analyse d’Adaptation des Structures Elasto-plastiques avec Prise en Compte des Effets Géométriques. Ph. D. Dissertation, University of Lille.
Tritsch, J. B. and Weichert, D. (1995). Case studies on the influence of geometric effects on the shakedown of structures. In Mróz, Z., Weichert, D. and Dorosz, S., eds. Inelastic Behaviour of Structures under Variable Loads. Amsterdam: Kluwer Academic Publishers. 309–320.
Weichert, D. (1986). On the influence of geometrical nonlinearities on the shakedown of elastic-plastic structures. Int. J. Plasticity 2: 135–148.
Weichert, D. (1989). Shakedown of shell-like structures allowing for certain geometrical nonlinearities. Arch. Mech. 41: 61–71.
Weichert, D. and Hachemi, A. (1998). Influence of geometrical nonlinearities on the shakedown of damaged structures. Int. J. Plasticity 14: 891–907.
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Weichert, D., Hachemi, A. (2002). Shakedown of Thin-Walled Structures with Geometrical Non-Linear Effects. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_11
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DOI: https://doi.org/10.1007/978-3-7091-2558-8_11
Publisher Name: Springer, Vienna
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