INTEGRATION OF INELASTIC CONSTITUTIVE-EQUATIONS FOR CONSTANT VELOCITY-GRADIENT WITH LARGE ROTATION

An analytical solution is presented for the integration of elastic per fectly-plastic constitutive equations for finite strains and rotations with constant velocity gradients. Based on this exact solution, an ap proximate scheme is also proposed for the integration of elastic-plast ic and elastic-viscoplastic constitutive equations with workhardening and noncoaxiality of the stress and the plastic strain rate tensors, u sing the plastic-predictor and elastic-corrector method proposed by Ne mat-Nasser [1] to integrate the scalar equation for the stress magnitu de (effective shear stress).