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Journal ArticleDOI

A six-component yield function for anisotropic materials

Frédéric Barlat, +2 more
- 01 Jan 1991 - 
- Vol. 7, Iss: 7, pp 693-712
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TLDR
In this paper, a new six-component yield surface description for orthotropic materials is developed, which has the advantage of being relatively simple mathematically and yet is consistent with yield surfaces computed with polycrystal plasticity models.
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This article is published in International Journal of Plasticity.The article was published on 1991-01-01. It has received 940 citations till now. The article focuses on the topics: Yield surface & Yield (engineering).

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Citations
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Plane stress yield function for aluminum alloy sheets—part 1: theory

TL;DR: In this article, a plane stress yield function that well describes the anisotropic behavior of sheet metals, in particular, aluminum alloy sheets, was proposed, which was introduced in the formulation using two linear transformations on the Cauchy stress tensor.
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A new model of metal plasticity and fracture with pressure and Lode dependence

TL;DR: In this paper, a 3D asymmetric fracture locus, in the space of equivalent fracture strain, stress triaxiality and the Lode angle parameter, is proposed.
Journal ArticleDOI

Linear transfomation-based anisotropic yield functions

TL;DR: In this article, two convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D) in general terms, and the type of input data recommended for the description of plastic anisotropy in sheet samples is discussed.
Journal ArticleDOI

Orthotropic yield criterion for hexagonal closed packed metals

TL;DR: In this article, a macroscopic orthotropic yield criterion, which can describe both the anisotropy of a material and the yielding asymmetry between tension and compression, is introduced.
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A general anisotropic yield criterion using bounds and a transformation weighting tensor

TL;DR: In this paper, a gspeneral expression for the yield surface of polycrystalline materials is developed, which can describe both isotropic and anisotropic materials.
References
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Journal ArticleDOI

A theory of the yielding and plastic flow of anisotropic metals

TL;DR: In this article, a theory is suggested which describes the yielding and plastic flow of an anisotropic metal on a macroscopic scale and associated relations are then found between the stress and strain-increment tensors.
Book

Convex Functions

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XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.

TL;DR: In this paper, a general relationship between stress and plastic strain in polycrystalline aggregate is derived for any metal in which individual crystals deform by slipping over preferred planes under a critical shear stress.
Journal ArticleDOI

Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions

TL;DR: In this article, a yield function that describes the behavior of orthortropic sheets, metals exhibiting planar anisotropy and subjected to plane stress conditions is proposed, which is shown to give a reasonable approximation to plastic potentials calculated with the Taylor/Bishop and Hill theory of polycrystalline plasticity for plane stress states.
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