Journal ArticleDOI
On loading, yield and quasi-yield hypersurfaces in plasticity theory
TLDR
In this article, it is shown that loading surfaces must exist for a plastic material as a result of Caratheodory's theorem on Pfaffian forms, and that a yield hypersurface in state space may be defined as the boundary of the region in which no loading surfaces exist (the elastic region) if this region has a positive volume, otherwise this region degenerates into the quasi-yield hypersurfaces.About:
This article is published in International Journal of Solids and Structures.The article was published on 1975-09-01. It has received 25 citations till now. The article focuses on the topics: Hypersurface & Bauschinger effect.read more
Citations
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Bounding surface plasticity, i: mathematical foundation and hypoplasticity
TL;DR: In this paper, the mathematical foundation of the general bounding surface constitutive formulation in plasticity is presented, and the concept of hypoplasticity is formally introduced, and it is shown that a particular class of hyp-plastic formulations arises naturally from certain bounding surfaces models, with the distinguishing feature being the dependence of the elastoplastic moduli and/or the plastic strain rate direction on the stress rate direction.
Journal ArticleDOI
Modelling of brittle and fatigue damage for elastic material by growth of microvoids
TL;DR: In this article, a unified formulation of brittle damage and fatigue damage models for elastic materials is presented, where the yield-surface notion is used in the brittle law, but is substituted by the loading-unloading irreversibility concept in the fatigue law.
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A maximum-dissipation principle in generalized plasticity
TL;DR: In this paper, it was shown that in large deformation generalized plasticity, a local maximum-dissipation postulate is equivalent to the condition that the plastic strain rate cannot oppose the total strain rate, when strain space is regarded as a Riemannian manifold.
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Cyclic loading for materials with a vanishing elastic region
Yannis F. Dafalias,Egor P. Popov +1 more
TL;DR: In this article, a constitutive law for plastic material response under stress reversals is shown to apply to materials with a vanishing elastic region, and the concept of the bounding surface introduced earlier, replaces the vanished yield and loading surfaces in defining loading-unloading criteria.
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A new model of generalized plasticity and its numerical implementation
TL;DR: A previously proposed simple model of generalized plasticity is modified so that it allows behavior that is asymptotically perfectly plastic or strain-softening, and consistent algorithmic tangent moduli are derived as well.
References
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A simple theory of plasticity
TL;DR: In this paper, an internal variable model of rate-independent plastic behavior based on loading-unloading irreversibility is proposed, which assumes no yield or loading function, stability postulate or specific nature of the internal variables.
Journal ArticleDOI
On rate-independent continuum theories of graphite and their experimental verification
TL;DR: In this paper, the authors discuss the development of two variations of a continuum theory of artificial graphite, which are based on a generalization of the classical theory of plasticity, and propose proper experiments to verify them.