Abstract
Based on a new consistent internal-variable theory of elasto-plasticity, the author’s idea of adaptation (SACZUK [1992]) is generalized to non-linear problems for elastic-plastic structures. The underlying theory of elastic-plastic behaviour of materials in which, among others, no yield rule and intermediate configuration are assumed to exist, where the transition from micro- to macroscales is natural, and where the constitutive relations do not need the so-called loading criteria, is modelled by a metric generalization of the Riemannian geometry. It is used to reformulate the known statical approaches to path-dependent adaptation. The new adaptation theorems proposed, which have no counterparts in the available literature, are generalization of known versions to the finite shakedown theorems.
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© 1995 Springer Science+Business Media Dordrecht
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Saczuk, J. (1995). On Theorems of Adaptation of Elastic-Plastic Structures. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_11
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DOI: https://doi.org/10.1007/978-94-011-0271-1_11
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