Rheological theory including volume (compressible) effects is important in a practical sense in that many polymer processes involve rapid cooling to a final, typically nonequilibrium, glassy state. There are also compressible effects in the sense of Poisson's ratio—that is, deformation‐induced volume changes occur even at constant temperature. In earlier work we (Snow and Bogue) set down a generalized constitutive equation which includes these various effects. The integral statement there is quite complicated, however, and is difficult to execute except in the simplest deformations. The present work is a restatement of the prior formulation in a more tractable and slightly modified form.