The primary objectives of the present exposition focus on the applicability of corotational stress rate hypoelasticity models and the design leading to new stress update formulations for subsequent applications. In this regard, various corotational stress rate hypoelasticity models are first studied. The conclusion that only the logarithmic stress rate hypoelasticity is suitable for finite deformation analysis is first drawn. In regards to the development of stress update formulations, a second-order accurate stress update formulation for the corotational stress rate hypoelasticity, and an exact stress update formulation for the logarithmic stress rate hypoelasticity are proposed. A numerical illustration is presented which draws comparisons with existing stress update formulations in the literature and shows the superior capabilities of the proposed developments.
Bibliographical noteFunding Information:
The authors are very pleased to acknowledge support in part by Battelle/U.S. Army Research Office (ARO) Research Triangle Park, North Carolina, under grant number DAAH04-96-C-0086, and by the Army High Performance Computing Research Center (AHPCRC) under the auspices of the Department of the Army, Army Research Laboratory (ARL) under contract number DAAD19-01-2-0014. The content does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred. Support in part by Dr. Andrew Mark and Dr. Raju Namburu of the IMT and CSM Computational Technical Activities and the ARL/MSRC facilities is also gratefully acknowledged. Special thanks are due to the CIS Directorate at the U.S. Army Research Laboratory (ARL), Aberdeen Proving Ground, Maryland. Other related support in form of computer grants from the Minnesota Supercomputer Institute (MSI), Minneapolis, Minnesota is also gratefully acknowledged.
- Finite deformation dynamics
- Stress update formulation