On the applicability and stress update formulations for corotational stress rate hypoelasticity constitutive models

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 "rst studied. The conclusion that only the logarithmic stress rate hypoelasticity is suitable for "nite deformation analysis is "rst 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. ? 2003 Elsevier Science B.V. All rights reserved.