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Journal ArticleDOI

Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured f.c.c. polycrystalline sheets

Frédéric Barlat, +1 more
- 01 Nov 1987 - 
- Vol. 95, pp 15-29
TLDR
In this article, a theoretical procedure for calculating the tricomponent plane stress yield surfaces and forming limits of textured f.c. polycrystalline metal sheets is presented.
About
This article is published in Materials Science and Engineering.The article was published on 1987-11-01. It has received 189 citations till now. The article focuses on the topics: Forming limit diagram & Necking.

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Citations
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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.
Journal ArticleDOI

A six-component yield function for anisotropic materials

TL;DR: 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.
Journal ArticleDOI

Yield function development for aluminum alloy sheets

TL;DR: In this article, a generalized phenomenological yield description is proposed to account for the behavior of the solute strengthened aluminum alloy sheets studied in this work and the experimental yield surfaces were found to be in good agreement with the polycrystal predictions for all materials and with the phenomenological predictions for most materials.
Journal ArticleDOI

A computational model of viscoplasticity and ductile damage for impact and penetration

TL;DR: A coupled constitutive model of viscoplasticity and ductile damage for penetration and impact related problems has been formulated and implemented in the explicit finite element code LS-DYNA.
Journal ArticleDOI

An improved analytical description of orthotropy in metallic sheets

TL;DR: In this paper, the authors proposed a modified yield function for an anisotropic aluminium alloy sheet material to improve the flexibility of the yield function with respect to the initial plastic anisotropy of the sheet.
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.
Journal ArticleDOI

Limit strains in the processes of stretch-forming sheet metal

TL;DR: In this paper, a theoretical analysis of the process of the generation of the groove based on anisotropic plasticity theory is presented, and the system of equations derived was solved numerically with the aid of a computer, which enabled the limiting strain of the sheet metal to be determined as a function of the material.
Journal ArticleDOI

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

Localized necking in thin sheets

TL;DR: Using a simplified constitutive model of a pointed vertex on subsequent yield loci, the onset of localized necking under biaxial stretching has been predicted and this result supports the hypothesis of vertex-formation on the yield locus under continued plastic flow.
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