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Comparison of orthotropic constitutive models in predicting square cup deep drawing process of AA2090-T3 sheet

In this article phenomenological elasto-plastic orthotropic material models are compared in predicting square cup deep drawing process of aluminum alloy AA2090-T3 sheet sample that shows pronounced plastic orthotropy. The analyzed material models are based on the isotropic hardening, associated or non-associated flow rule and symmetric orthotropic stress functions as yield function/plastic potential. The utilized orthotropic stress functions are quadratic Hill (1948) or non-quadratic Karafillis-Boyce (1993) stress function. The capabilities of the utilized stress functions under associated or non-associated flow rule in predicting orientation dependences of the uniaxial plastic material properties are demonstrated. Finite element simulations of the square cup drawing problem are performed with the finite element program ADINA 8.6. upgraded with the CBR shell element and the algorithmic formulations of the analyzed material models based on implicit return mapping. By comparing predictions obtained by the different material models influence of the flow rule and the functional form of the yield function/plastic potential is analyzed.

orthotropic material; constitutive modeling; flow rule; orthotropic stress function; finite element method; square cup deep drawing

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