Computational Mechanics

, Volume 46, Issue 4, pp 559–575

On the impact of the time increment on sensitivity analysis during the elastic-to-viscoplastic transition in metals

Original Paper

DOI: 10.1007/s00466-010-0499-8

Cite this article as:
Rauchs, G. & Ponthot, JP. Comput Mech (2010) 46: 559. doi:10.1007/s00466-010-0499-8


In many constitutive models of elasto- viscoplasticity, like for example overstress models, viscoplastic deformation takes place once the stress state lies outside the yield surface. In most computational implementations of such constitutive laws, the calculation of the viscoplastic deformation increment is performed in a one-step approach by applying the full nominal time increment to the rate-dependent deformation, even if during a part of the increment, purely elastic deformation takes place. This way, time increments affected by the transition from elastic to viscoplastic material behaviour are not properly accounted for, because such time increments exhibit both a purely elastic part and a elastoviscoplastic part. In fact, it has been reported in the literature that errors induced by the use of the conventional one-step approach are insignificant. In the present article, the impact of using the one-step approach, i.e. using the total time increment in case of the elastic-to-viscoplastic transition, on sensitivity analysis is investigated.


ViscoplasticityFinite element modellingSensitivity analysis

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of Advanced Materials and StructuresCentre de Recherche Public Henri TudorEsch/UelzechtGrand Duchy of Luxembourg
  2. 2.Aerospace and Mechanical Engineering DepartmentUniversité de LiègeLiègeBelgium