Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/14460
Title: A Generalisation of the hill's quadratic yield function for planar plastic anisotropy to consider loading direction
Authors: Adetoro, OB
Keywords: Quadratic Yield Function;NURBS;Planar Anisotropy;r-values;Flow Stresses;Earing Profile;Cup Drawing
Issue Date: 2017
Citation: International Journal of Mechanical Sciences
Abstract: In this work, a new generalised quadratic yield function for plane stress analysis that is able to describe the plastic anisotropy of metals and also the asymmetric behaviour in tension-compression typical of the Hexagonal Closed-Pack (HCP) materials, is developed. The new yield function has a quadratic form in the stress tensor and it simultaneously predicts the r-values and directional flow stresses, which is shown to agree very well with exper- imental results. It also accurately describes the biaxial symmetric stress state which is fundamental for the accurate modelling of aluminium alloys. The new quadratic yield function represents the non-symmetric biaxial stress state by performing a linear interpolation from pure uniaxial loading to a bi- axial symmetric stress state. The main advantages of this new yield function is that it can be used for the modelling of metals with any crystallographic structure (BCC, FCC or HCP), it only has ve anisotropic coeffcients and also that it is a simple quadratic yield criterion that is able to accurately reproduce the plastic anisotropy of metals whilst using an associated flow rule.
URI: http://bura.brunel.ac.uk/handle/2438/14460
ISSN: 0020-7403
Appears in Collections:Dept of Mechanical and Aerospace Engineering Research Papers

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