Analyses of the yield behavior and the stress paths under the combined stress loading in polymeric materials.

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Combined stretch and twist were loaded on non-plasticized PVC, ABS, and PMMA bars under various rates of stretch and twist. Experimental results were analyzed using the corrected Gaydon's equation. The results were introduced for ideal elasto-plastic bodies that obeyed Hooke's law and Reuss's equation with yield points undergoing von Mises and Tresca criteria. Interaction curves were drawn in two dimensional stress space; these showed good agreement with the stress values of yield points obtained from the experiment. A method was derived to draw the interaction curves so as to satisfy in a broad sense the elasto-plastic model. The intersecting points between these curves and the stress state in stress space under the loading conditions suggest that a change in elasto-plastic state occurred during the deformation along the stress-strain curves.
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