Non-linear mechanical response of various metals. V. Yield condition for isotropic hardening

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Abstract
For pt.IV see ibid., vol.11, p.459 (1978). The parameters appearing in a particular incremental type constitutive equation for an isotropic incompressible strain hardening elastic-plastic solid with large deformation have been computed directly from measurements of the Swift effect by way of the thin-walled tube approximation. It is shown that these parameters, determined for thin-walled tubes of aluminium, copper in the fully annealed state, and copper and iron both in the as-received state, can be used to evaluate the particular form of the associated yield function for a wide range of the available plastic deformation. The yield function, evaluated in this way, is shown for an initial range of response to be a particular form of modified von Mises yield function. This particular form of modified von Mises yield function is used to compare the predictions at initial yield in simple compression and simple torsion with the predictions obtained from the Swift effect.