Did E�tv�s torsion experiment detect Cartan's contortion?

Attila M�sz�ros

doi:10.1007/bf00648041

Effect of Material Frame Rotation on the Hardening of an Anisotropic Material in Simple Shear Tests

Journal of Applied Mechanics ◽

10.1115/1.4041320 ◽

2018 ◽

Vol 85 (12) ◽

Cited By ~ 1

Author(s):

Kelin Chen ◽

Stelios Kyriakides ◽

Martin Scales

Keyword(s):

Simple Shear ◽

Plastic Anisotropy ◽

Yield Function ◽

Strain Response ◽

Shear Tests ◽

Stress Strain ◽

Anisotropic Yield Function ◽

Torsion Experiment ◽

Thin Walled Tube ◽

Material Frame

The shear stress–strain response of an aluminum alloy is measured to a shear strain of the order of one using a pure torsion experiment on a thin-walled tube. The material exhibits plastic anisotropy that is established through a separate set of biaxial experiments on the same tube stock. The results are used to calibrate Hill's quadratic anisotropic yield function. It is shown that because in simple shear the material axes rotate during deformation, this anisotropy progressively reduces the material tangent modulus. A parametric study demonstrates that the stress–strain response extracted from a simple shear test can be influenced significantly by the anisotropy parameters. It is thus concluded that the material axes rotation inherent to simple shear tests must be included in the analysis of such experiments when the material exhibits anisotropy.

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Torsion experiment and cracking-torque formulae of hollow prestressed concrete beams

Engineering Structures ◽

10.1016/j.engstruct.2019.109325 ◽

2019 ◽

Vol 196 ◽

pp. 109325

Author(s):

Chyuan-Hwan Jeng ◽

Min Chao ◽

Hui-Chun Chuang

Keyword(s):

Prestressed Concrete ◽

Concrete Beams ◽

Torsion Experiment

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Study on After-Forging Austenite Recrystallization Rule of Low-Pressure Rotor Steel 26Cr2Ni4MoV with Thermo-Torsion Method

Materials Science Forum ◽

10.4028/www.scientific.net/msf.628-629.635 ◽

2009 ◽

Vol 628-629 ◽

pp. 635-640

Author(s):

Li Yong Ni ◽

Peng Chao Kang ◽

Zhu Bai Liu ◽

Wen Hua Yang

Keyword(s):

Heat Treatment ◽

Grain Size ◽

Static Recrystallization ◽

Low Pressure ◽

Nucleation And Growth ◽

Rotor Steel ◽

Theoretical Base ◽

Torsion Experiment ◽

Austenite Recrystallization

In order to investigate the nucleation and growth of after-forging static recrystallization of low-pressure rotor steel 26Cr2Ni4MoV, the thermo-torsion experiment was conducted at 900°C,1000°C and 1100°C, respectively. The outer deformation of the used specimens was 0.21. The specimens were kept under a certain temperature for different periods. Results show that the recrystallization grain grew slowly at 900°C and the grain size became even after 30 minutes. The sizes of most grains were almost constant and only several grains grew bigger after 60 minutes. When the specimens were kept at 1000°C and 1100°C for one minute, static recrystallization was completed and the grain size was even. The said research could provide theoretical base for the controlled forging and after-forging heat treatment.

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The Constitutive Relation of Total Strain Theory Based on the Simple Experimental Data by the Application of Titanium Alloy

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.268-270.308 ◽

2012 ◽

Vol 268-270 ◽

pp. 308-311

Author(s):

Xiao Jiu Feng ◽

Hong Du ◽

Ping Zhou

Keyword(s):

Titanium Alloy ◽

Constitutive Relation ◽

Strain Theory ◽

Total Strain ◽

Simple Loading ◽

Single Curve ◽

Torsion Experiment ◽

Curve Theory ◽

The Stability ◽

Tensile Experiment

The elastic-plasticity of the titanium alloy material has certain effect on the stability of the milling system. When the material is incompressible, the curve and the simple tensile curve are the same, and the material’s curve and the one-way shear’s curve are also the same. This may be called single curve theory. This paper is, under simple loading conditions, gets the data in the titanium alloy’s tensile experiment and torsion experiment. It studies the constitutive relation in the state of the multidimensional stress and the strain, by the material data obtained in the simple tensile experiment and torsion experiment according to the single curve theory. In the simple loading condition, it obtains the data of the titanium alloy’s tensile experiment and torsion experiment, and then gets the titanium alloy’s incremental constitutive relation, and by integration, it gets the constitutive relation of the titanium alloy’s total strain theory.

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