Anisotropic Yield Criterion for Metals Exhibiting Tension–Compression Asymmetry

Anisotropic Yield Criterion for Metals Exhibiting Tension–Compression Asymmetry

Year:    2021

Author:    Lei Chen, Jian Zhang, Hongjian Zhang

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 3 : pp. 701–723

Abstract

The present study is devoted to developing a yield criterion that can model both the yielding asymmetry and plastic anisotropy of pressure-insensitive metals. First, a new isotropic yield criterion which can model the yielding asymmetry of pressure-insensitive metals is proposed. The main advantage of the proposed criterion is that it leads to a good approximation of yield loci calculated by the Taylor-Bishop-Hill crystal plasticity model. Further, the isotropic criterion is extended to orthotropy to take plastic anisotropy into account. The new anisotropic criterion is general and can be used in three-dimensional stresses. The coefficients of the criterion are determined by an error minimization procedure. Applications of the proposed theory to a hexagonal close packed (HCP) magnesium, a Cu-Al-Be shape memory alloy and a Ni3Al based intermetallic alloy show that the proposed theory can describe well the plastic anisotropy and yielding asymmetry of metals and the transformation onset of the shape memory alloy, showing excellent predictive ability and flexibility.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2019-0328

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 3 : pp. 701–723

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Yield criterion yielding asymmetry plastic anisotropy magnesium alloy shape memory alloy intermetallic alloy.

Author Details

Lei Chen

Jian Zhang

Hongjian Zhang

  1. Modeling the Stress-Induced Transformation Behavior of Shape Memory Alloys under Multiaxial Loading Conditions

    Chen, Lei | Zhang, Hongying | Song, Mitao | Yue, Xinxin | Zhang, Jian

    Crystals, Vol. 11 (2021), Iss. 10 P.1191

    https://doi.org/10.3390/cryst11101191 [Citations: 1]
  2. Moving least-squares in finite strain analysis with tetrahedra support

    Areias, P. | Fernandes, L. | Melicio, R.

    Engineering Analysis with Boundary Elements, Vol. 139 (2022), Iss. P.1

    https://doi.org/10.1016/j.enganabound.2022.02.010 [Citations: 2]
  3. Hierarchical deformation and anisotropic behavior of (α+β) Ti alloys: A microstructure-informed multiscale constitutive model study

    Herath, C. | Wijesinghe, K. | Michopoulos, J.G. | Arnold, S.M. | Achuthan, A.

    International Journal of Plasticity, Vol. 183 (2024), Iss. P.104163

    https://doi.org/10.1016/j.ijplas.2024.104163 [Citations: 0]
  4. A Constitutive Model for Asymmetric Cyclic Hysteresis of Wrought Magnesium Alloys under Variable Amplitude Loading

    Behravesh, Seyed Behzad | Lambert, Stephan | Jahed, Hamid

    Metals, Vol. 14 (2024), Iss. 2 P.221

    https://doi.org/10.3390/met14020221 [Citations: 0]