.3104 Aluminum Alloy Plate Of Deep Red Earing The Finite Element Simulation

The continuum mechanics of textured polycrystals (CMTP) theory and the finite element theory are combined using a full implicit backward Euler return-mapping algorithm through UMAT subroutine in ABAQUS software. The earing behaviors of 3104 aluminum alloy sheets during deep drawing process are simulated. The predictions obtained from CMTP yield function are compared with those from Barlat 1991 yield function and experimental earing profiles. The distribution of equal stress and equal strain during deep drawing process and the thickness variation induced by deep drawing are described. The influences of friction and blank holder force on earing profiles are also taken into account. The main contents and results as follows:(1) The analytical CMTP yield function considering the volume fraction weights of texture components is proposed and it can be implemented in ABAQUS software like Von Mises and Barlat 1991 yield function.(2) A universal UMAT subroutine suitable for any yield function of the form f(σ) = σ, having the advantages of high accuracy and quick converge rate, is programmed. Von Mises, Barlat 1991 and CMTP yield functions are successfully implemented in ABAQUS using this subroutine.(3) The thickness at the flange increases and almost unchanges at the bottom of cup while near the concave corner of the die decreases during deep drawing. There is a continuous decrease in thickness from the top to the bottom of the full cup. The maximums of equivalent stress and equivalent strain will occur near the concave corner of the die during deep drawing and at the outer flange when deep drawing is completed.(4) The simulated results showed that cube texture can lead to 0/90° type earing; copper texture while brass texture and S texture to 45° type earing. The σ_xx-σ_yy plane yield loci of cube and S textures are symmetrical with respect to the equi-biaxial tensile direction while those of brass and Cu textures are unsymmetrical.(5) The earing behaviors of 3104 aluminum alloy sheets are directly linked with CMTP yield function from the texture components. Reasonable agreements have been obtained between the predictions from CMTP yield function and the experiment, which is more accurate than Barlat 1991 yield function.(6) Increasing the friction and blank holder force enable the height of earing to increase because it leads to increase the whole radial tensile stress.