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On the anomalous behaviour of anisotropic sheet metals

TLDR
In this article, all four simplified cases of the 1979 criterion have been proposed and all four cases are analyzed to determine the interrelationships of the parameters r and m (exponent in Hill's new criterion) required to encompass anomalous behaviour.
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This article is published in International Journal of Mechanical Sciences.The article was published on 1984-01-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Hill yield criterion.

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Citations
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Journal ArticleDOI

Crystallographic texture, anisotropic yield surfaces and forming limits of sheet metals

TL;DR: In this article, a concise review of different proposed phenomenological equations that describe the behavior of sheet metals and their influence on theoretical forming limits is presented, and geometrical features of yield surface shapes necessary to achieve high formability are discussed.
Journal ArticleDOI

An orthotropic yield criterion in a 3-D general stress state

TL;DR: In this article, an anisotropic yield criterion with a general representation was proposed, derived from the use of the invariants of the stress tensor, similar in constructing an isotropic yield criterion, but which contains a three-yield-system hypothesis specifying the state of anisotropy.
Journal ArticleDOI

Experimental study of the plastic yielding of rolled sheet metals with the cruciform plate specimen

TL;DR: In this paper, an experimental technique for the evaluation of the in-plane yield loci of sheet metals with the cruciform plate specimen is presented, which conforms to the optimized design concept proposed by other researchers.
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A plane stress anisotropic plastic flow theory for orthotropic sheet metals

TL;DR: In this paper, a phenomenological theory is presented for describing the anisotropic plastic flow of orthotropic polycrystalline aluminum sheet metals under plane stress, which uses a stress exponent, a rate-dependent effective flow strength function, and five material functions to specify a flow potential, an associated flow rules of plastic strain rates, a flow rule of plastic spin and an evolution law of isotropic hardening of a sheet metal.
Journal ArticleDOI

A mathematical description of orthotropy in sheet metals

TL;DR: In this article, the plane stress description of orthotropy presented by Hill [1990] is revisited in an alternative form, and the alternative calibration methods are used to develop the mathematical form of the orthotropic representation.
References
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Book

Metal Forming: Mechanics and Metallurgy

TL;DR: In this paper, the authors present sheet metal properties including stress and strain, tension, and strain hardening, and anisotropic anisotropy for sheet metal forming, as well as other sheet forming operations.
Journal ArticleDOI

Upper-bound anisotropic yield locus calculations assuming 〈111〉-pencil glide

TL;DR: In this paper, an upper-bound model which combines a least-shear analysis and Piehler's maximum virtual work analysis was proposed to determine axisymmetric deformation.
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The anomalous behaviour of aluminium sheet under balanced biaxial tension

TL;DR: In this paper, the authors investigated the anomalous behavior of aluminium in uniaxial and biaxiaial tension and showed that anisotropic plasticity theory does not hold for all metals.
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Predictions of limit strains in sheet metal using a more general yield criterion

TL;DR: In this article, the authors proposed a new yield criterion for anisotropic materials which is more general than the criterion previously adopted in this type of work and used it in the Marciniak-Kuczynski type model to predict the limit strains occurring in frictionless in-plane stretching.
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Plastic expansion of a circular hole in sheet metal subjected to biaxial tensile stress

TL;DR: In this article, a new yield function proposed by Hill is used to predict the plastic stress and strain distributions in an annulus of sheet metal subjected to a radial tension at its outer periphery.
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