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Analytical and numerical evaluation of the stress field during the neck formation in the cold drawing of thermoplastics
Alfredo Márquez Lucero
Acceso Abierto
The effect of stress triaxialily on neck propagalion during axisymmelric lension of thermoplastics was analyzed in terms of a modified "long wavelength" model of flow localization. The analysis involved a lriaxiality factor FT(X¡) which expresses lhe radio of lhe mean effective stress to the mean axial stress in a given cross-section. Experimental values of FT(X1) were delermined in the case of high densily polyelhylene from (i) the influence of lhe inilial shape of hour glass specimens on lheir apparent yield slress and (ii) from the analysis oC the proliJe of a propagation neck. These resulls agree very well wilh lhe Bridgman faclor which relales FT(X¡) solely lo the relalive curvalure N,(x¡) of lhe prolile. A linile elemenl simulalion of lhe necking process in polyethylene was also performed, which conlirmed lhe qualitative aspecls of the dependence oC FT(X¡) on prolile curvature. However, lhe compuled factor was found to be systemalically larger lhan lhe corresponding experimenlal value. This discrepancy could be allribuled eilher to lhe limiled number oC linile elemenls in lhe mesh or, more fundamenlally, to the neglect of the strain rate sensitivity, which was not taken into aceount in the eonstitutive relation chosen to model the material.
Revista mexicana de fisica, 39(3), 409-427, 1993.
Lucero, A. M. (1993). Analytical and numerical evaluation of the stress field during the neck formation in the cold drawing of thermoplastics. Revista mexicana de fisica, 39(3), 409-427.
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