Extension of the Hill (1948) yield criterion to the case of prismatic monoclinic symmetry

Darrieulat, Michel; Montheillet, F.

doi:10.1016/0020-7403(96)00003-3

Cited by 9 publications

(6 citation statements)

References 6 publications

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“…Since, (see (11)): where Σ is the deviatoric part of the macroscopic stress tensor Σ and D is the deviatoric part of the macroscopic strain rate tensor. Let…”

Section: Determination Of ∂π ∂ a And ∂π ∂ Bmentioning

confidence: 99%

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Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Monchiet

Cazacu

Charkaluk

et al. 2008

International Journal of Plasticity

210

123

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“…Since, (see (11)): where Σ is the deviatoric part of the macroscopic stress tensor Σ and D is the deviatoric part of the macroscopic strain rate tensor. Let…”

Section: Determination Of ∂π ∂ a And ∂π ∂ Bmentioning

confidence: 99%

“…The effects of the interaction between matrix anisotropy and void-shape induced anisotropy has been studied using a purely phenomenological approach by[11].…”

mentioning

confidence: 99%

Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Monchiet

Cazacu

Charkaluk

et al. 2008

International Journal of Plasticity

210

123

View full text Add to dashboard Cite

show abstract

“…In fact, this orientation was considered earlier to meet all the requirements of the preferred orientation for shear deformation, together with {001} <110> the well-known C component, for fcc metals 13 , 68 . Unfortunately, there was very little mention of this orientation 13 , 14 and the experimental absence of this shear component was attributed directly to stability considerations 13 . It is also interesting to note that, according to SERM theory, a supposed shear texture of { } <110> could also generate itself in recrystallization.…”

Section: Discussionmentioning

confidence: 99%

“…In terms of shear, the simplest way to directly apply a shear strain to materials is by a shear test but the strain level is then limited by the overall sample dimensions. Alternatively, torsion has been utilized as a standard test to characterize material performance in shear for over two centuries 11 , 12 and also it is widely used to characterize the microstructural evolution of materials in simple shear processed to high strain levels 13 , 14 . High-pressure torsion (HPT) processing is a conventional severe plastic deformation (SPD) procedure which further improves the mechanical stability of the torsion process by applying a hydrostatic pressure so that, theoretically, an unlimited shear strain may be achieved 15 , 16 .…”

Section: Introductionmentioning

confidence: 99%

Evidence for a stable single component sharp texture in high purity aluminum during tube high-pressure shearing at room temperature

Zhu

et al. 2022

Sci Rep

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A stable {$$\stackrel{\mathrm{-}}{1}{\text{10}}$$ 1 - 10 } <110> single component sharp texture was obtained during ambient temperature tube High-Pressure Shearing (t-HPS) of 99.999% purity aluminum. It is shown that the grain size and the grain aspect ratio saturate at ~ 8 μm and ~ 1.6, respectively, at an equivalent strain of ~ 30 and the high-angle grain boundary fraction continues to decrease after this saturation even to equivalent strains exceeding ~ 200. The {$$\stackrel{\mathrm{-}}{1}{\text{10}}$$ 1 - 10 } <110> texture emerges at an equivalent strain of ~ 6 to 9 with the completion of recrystallization and develops gradually as a sole component sharp texture with increasing intensity upon further processing. This component is a stable orientation in t-HPS processing although it was not previously observed experimentally as a shear texture. Thus, t-HPS processing provides a new and effective experimental tool for simple shear testing that is distinctly different from earlier shear strain methods such as torsional processing.

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“…78,79) Unfortunately, there are very few reports of this orientation in the literature. 78,80) The experimental absence of this shear component was attributed directly to stability considerations. 78) However, it is readily apparent that this texture component f " 110gh110i, which is conventionally absent, emerges during t-HPS and it is not only stable during subsequent processing when the monotonic deformation path is maintained but also it is enhanced upon the subsequent recrystallization cycle with t-HPS deformation and then becomes the sole texture component with t-HPS rotations.…”

Section: Stable Single Component Sharp Texture Developed Inmentioning

confidence: 98%

Tube High-Pressure Shearing: A Simple Shear Path to Unusual Microstructures and Unprecedented Properties

Liu

Wang

et al. 2023

Mater. Trans.

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Processing by tube high-pressure shearing (t-HPS) is a relatively new technique now in the early phase of development within the family of severe plastic deformation (SPD) by comparison with other established techniques such as Equal-Channel Angular Pressing, High Pressure Torsion and Accumulative Roll Bonding. Nevertheless, the technique has demonstrated already its capability to restructure materials to featured microstructures that not reached by the other processing procedures and, in addition, it is efficient in refining the microstructure in a way that is consistent with the other SPD processes.The initialization and development of the principle and processing technique of t-HPS is reviewed in this report together with the microstructure and property improvements of the processed materials. It is demonstrated that there is a unique capability of t-HPS in preparing distinctly featured microstructures and producing unprecedented properties of the processed material by comparison with other SPD processes.As a new SPD technique that is currently under development, several open topics are proposed which are significant for obtaining an understanding of the physical characteristics of t-HPS and for further exploiting the potential of t-HPS in establishing unprecedented properties through distinct and unusual microstructures.

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Extension of the Hill (1948) yield criterion to the case of prismatic monoclinic symmetry

Cited by 9 publications

References 6 publications

Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids

Evidence for a stable single component sharp texture in high purity aluminum during tube high-pressure shearing at room temperature

Tube High-Pressure Shearing: A Simple Shear Path to Unusual Microstructures and Unprecedented Properties

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