Abstract
This paper gives a comprehensive presentation on shakedown theorems in perfect and in hardening plasticity. The extension of classical shakedown theorems for hardening materials is an interesting subject in plasticity. In particular, the model of generalized standard materials gives a convenient framework to derive appropriate results for common models. The starting point is an extended static shakedown theorem for hardening plasticity. It leads by min-max duality to dual static and kinematic approaches to compute the safety coefficient with respect to shakedown. These approaches are discussed for common models of isotropic and of kinematic hardening. In particular, the kinematic approach leads to new results on the expressions of the safety coefficient.
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Nguyen, Q.S. (2004). Min-Max Duality and Shakedown Theorems in Hardening Plasticity. In: Complementarity, Duality and Symmetry in Nonlinear Mechanics. Advances in Mechanics and Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9577-0_13
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DOI: https://doi.org/10.1007/978-90-481-9577-0_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-015-7119-7
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