Abstract
In this paper, we study the shakedown behaviour of elastic plastic material with non-linear kinematical hardening rule. The behaviour law taken into account is shown to be a non-associated one. For this purpose, the implicit non-standard material model is introduced through the bipotential approach. After some remarks on the theoretical aspects, an analytical example of a thin walled tube under constant traction and alternating torsion is given as an application and compared with previous results. The obtained solution is proved to be exact.
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De Saxce, G., Tritsch, JB., Hjiaj, M. (2000). Shakedown of Elastic-Plastic Structures with Non Linear Kinematical Hardening by the Bipotential Approach. In: Weichert, D., Maier, G. (eds) Inelastic Analysis of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9421-4_11
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DOI: https://doi.org/10.1007/978-94-010-9421-4_11
Publisher Name: Springer, Dordrecht
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