A higher-order time integration method for viscoplasticity

Citation
E. Kirchner et B. Simeon, A higher-order time integration method for viscoplasticity, COMPUT METH, 175(1-2), 1999, pp. 1-18
Citations number
26
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
175
Issue
1-2
Year of publication
1999
Pages
1 - 18
Database
ISI
SICI code
0045-7825(19990608)175:1-2<1:AHTIMF>2.0.ZU;2-Y
Abstract
Time integration in viscoplasticity is discussed from both engineering and mathematical points of view. A second-order integration scheme is presented and combined with an adaptive time stepping algorithm which utilizes local error estimates for the choice of time steps, and a closed-form expression for the consistent tangent operator is derived. The algorithm is applied t o the viscoplastic model by Choi and Krempl. (C) 1999 Elsevier Science S.A. All rights reserved.