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A rule of anisotropic hardening

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TLDR
In this paper, a hardening rule accounting for anisotropy produced by plastic deformations is developed, which accounts for translation, rotation and expansion of the initial yield locus.
Abstract
A hardening rule accounting for anisotropy produced by plastic deformations is developed. Transition from an initially isotropic material into an anisotropic one is studied. The proposed rule accounts for translation, rotation and expansion of the initial yield locus.

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Citations
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Constitutive equations for cyclic plasticity and cyclic viscoplasticity

TL;DR: In this paper, the cyclic constitutive equations developed and used at ONERA and LMT-Cachan are presented in detail in terms of a hierarchy of various models, including the Ohno-Kachi time-independent plasticity theory, two unified viscoplastic models by Walker and by Krempl and Yao, the new developments of the endochronic theory by Watanabe and Atluri.
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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".
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A model of nonlinearly hardening materials for complex loading

TL;DR: 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.
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Yield Function for Soil with Anisotropic Fabric

TL;DR: In this article, a fabric tensor is introduced as an index showing the anisotropy due to the preferred orientation of constituent particles and is actually determined by using data derived from a material science approach of soils.
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Directional distortional hardening in metal plasticity within thermodynamics

TL;DR: In this paper, the authors present a complete theory for metal plasticity that includes directional distortional hardening, supplemented by the classical kinematic and isotropic hardenings.
References
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Book

The mathematical theory of plasticity

Rodney Hill
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.
Book ChapterDOI

Stress-Deformation Relations for Isotropic Materials

TL;DR: In this article, it was shown that the mechanics of a homogeneous isotropic ideally elastic material may be developed on the basis of a description of the relevant elastic properties of the material in terms of a strain energy function W which is a single-valued function of three scalar invariants of the deformation, I 1, I 2 and I 3.
Journal ArticleDOI

Plastic Stress–Strain Relations and Yield Surfaces for Aluminium Alloys

TL;DR: In this paper, three types of experiment are carried out and the results indicate that for initially stress-free material the "incremental" type of theory is well founded and an explanation for the behaviour of material in other conditions is suggested which does not involve the existence of "corners" on the "yield surface" overstrained into the plastic region.