A Study of Anisotropic Yield Function Based on J2 and J3 Invariants

2021 ◽  
pp. 1969-1980
Author(s):  
YoungSuk Kim ◽  
PhuVan Nguyen ◽  
JinJae Kim
Keyword(s):  
Yield Function ◽  
Anisotropic Yield Function

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

2018 ◽  
Vol 85 (12) ◽  
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.

scholarly journals Yield Stress of Randomly Perforated Sheets and Anisotropic Yield Function.

1997 ◽  
Vol 40 (4) ◽  
pp. 353-361
Author(s):  
Yasuhide NAKAYAMA ◽  
Shigeru NAGAKI ◽  
Takeji ABE
Keyword(s):  
Yield Stress ◽  
Yield Function ◽  
Anisotropic Yield Function ◽  
Perforated Sheets
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