Journal ArticleDOI
A model of nonlinearly hardening materials for complex loading
Yannis F. Dafalias,Egor P. Popov +1 more
TLDR
In this article, the authors introduced the concept of a bounding surface in the stress space which always encloses the loading surface, and a parameter defined by the relative position of the loading and the bounding surfaces, and the plastic work done during the most recent loading, determine the value of the plastic modulus.Abstract:
A number of observations are made on the macroscopic behavior of materials subjected to uniaxial random cyclic loadings. These observations are then generalized to construct a model describing the material behavior for complex multiaxial loadings, in particular for cyclic loadings. This generalization introduces the concept of a bounding surface in the stress space which always encloses the loading surface. A parameter defined by the relative position of the loading and the bounding surface, and the plastic work done during the most recent loading, determine the value of the plastic modulus.read more
Citations
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Journal ArticleDOI
Simple plasticity sand model accounting for fabric change effects
TL;DR: In this article, a simple stress-ratio controlled, critical state compatible, sand plasticity model is presented, first in the triaxial and then in generalized stress space, and three novel aspects are introduced.
Journal ArticleDOI
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
Subloading surface model in unconventional plasticity
TL;DR: In this paper, an exact formulation of this model is presented by deriving a translation rule of the center of similarity and a consistency condition for the subloading surface and by examining the physical meaning of the loading criterion in terms of a strain rate and the associated flow rule concurrently for materials with an anisotropic hardening/softening and without an clastic domain.
Journal ArticleDOI
Modeling of cyclic mobility in saturated cohesionless soils
TL;DR: In this paper, a multiscale plasticity model was developed for capturing the characteristics of cyclic mobility in saturated medium to dense cohesionless soils during liquefaction, due to soil skeleton dilation at large shear strain excursions.
Journal ArticleDOI
Advances in strength theories for materials under complex stress state in the 20th Century
TL;DR: A survey of the advances in strength theory (yield criteria, failure criterion, etc) of materials (including matellic materials, rock, soil, concrete, ice, iron, polymers, energetic material etc) under complex stress was presented in this paper.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
On the description of anisotropic workhardening
TL;DR: In this paper, a model of workhardening is proposed which generalizes the known rules of isotropic and kinematic work-hardening by introducing the concept of a "Field of Workhardening moduli".
Journal ArticleDOI
A general theory of an elastic-plastic continuum
A. E. Green,P. M. Naghdi +1 more
TL;DR: In this article, an isotropic elastic-plastic continuum theory was proposed for large deformation elasticity, which is a special case of the theory of elastic-perfectly plastic continuum.
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