Accuracy and stability for integration of Jaumann stress rate equations in spinning bodies

Abstract

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 addition to several other proposals available in the literature. The analysis is primarily concerned with spinning bodies and reveals that a commonly used algorithm is unconditionally unstable and only first‐order objective in the presence of rotations. Other proposals are shown to have better accuracy and stability properties. Finally, shows by example that even a consistent and unconditionally stable integration of hypoelastic constitution does not necessarily yield globally stable finite element simulations.

Citation

Govindjee, S. (1997), "Accuracy and stability for integration of Jaumann stress rate equations in spinning bodies", Engineering Computations, Vol. 14 No. 1, pp. 14-30. https://doi.org/10.1108/02644409710157604