Wiley InterScience Backfile Collection 1832-2000
A set of non-linear and coupled equations governing the thermomechanical deformations of a viscoplastic body undergoing simple shearing deformations is integrated in time by using the forward-difference Galerkin finite-element (FDGFE) method and the Crank-Nicolson-Galerkin finite-element (CNGFE) method. In the latter scheme the number of unknown functions is increased so that the governing equations contain only first-order spatial derivatives. It is shown that the solutions obtained by the two methods agree qualitatively; however, the CNGFE method seems to introduce some damping into the system for non-polar materials, but none for dipolar materials.
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