The MATMOD Equations

Among the several sets of unified constitutive equations described in this volume, the MATMOD (standing simply for MATerials MODel) equations probably attempt to cover the broadest set of phenomena. These are enumerated in Table 1. Like many of the other unified approaches, the MATMOD equations treat most of the phenomena within the categories of ‘creep’ and ‘plasticity’; however, the equations are also designed to predict many aspects of cyclic deformation and, more generally, multiaxial non-proportional straining. The manner in which the equations represent solute drag effects (dynamic strain aging) is unique. This breadth does come at the expense of accuracy, given our present incomplete knowledge of the ‘first principles’ physical laws governing dislocation-controlled straining.

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