ACCURACY AND STABILITY FOR INTEGRATION OF JAUMANN STRESS RATE-EQUATIONS IN SPINNING BODIES

Analyses several algorithms for the integration of the Jaumann stress rate. Places emphasis on accuracy and stability of standard algorithms available in commercial and government finite element codes in additi on to several other proposals available in the literature. The analysi s is primarily concerned with spinning bodies and reveals that a commo nly used algorithm is unconditionally unstable and only first-order ob jective in the presence of rotations. Other proposals are shown to hav e better accuracy and stability properties. Finally, shows by example that even a consistent and unconditionally stable integration of hypoe lastic constitution does not necessarily yield globally stable finite element simulations.