The phenomenon of earing is investigated in the present study based on the theory of crystal plasticity with the dynamic explicit finite element program developed. Firstly texture analysis is carried out of rolled aluminium alloy A15052 by means of X-ray technique. Then from the texture coefficients an analytical expression for the orientation distribution function (ODF) is derived making use of the computer algebraic language Mathematica4.0, which makes it easier to discretize the ODF into a series of Eulerian angles representing the distribution of lattices and further the preferred orientation (texture) of crystals of the original sheets. For the polycrystal model, the material is described using crystal plasticity where each material point in the sheet is assumed to be a polycrystalline aggregate of a very large number of face-centered cubic (FCC)grains with each grain modelled as an FCC crystal with 12 distinct slip systems. The modified Taylor theory of crystal plasticity is used and only the initial texture is taken into consideration during large plastic deformation. Numerical simulation of earing has been performed for an aluminium sheet with texture and one with crystals exhibiting random distribution to demonstrate the effect of texture of materials on their plastic anisotropy and formability.
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