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J. Plesek+ and J. Korous#

+Institute of Thermomechanics, Academy of Sciences of the Czech Republic
#Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic

doi:10.4203/ccp.67.1.15

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J. Plesek, J. Korous, "Integration Method with Time Step Control for Viscoplasticity and Creep", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 127-135, 2000. doi:10.4203/ccp.67.1.15

Abstract

Constitutive equations for viscoplasticity and creep are expressed in terms of stress components, temperature and internal variables. Resulting set of ordinary differential equations of the first order under the guise of the finite element method is integrated by the Euler forward scheme with automatic subincrementation. The time step length is set on the basis of a posteriori error estimate. Testing examples were computed, including benchmark problems introduced by Zienkiewicz and Cormeau. In all the cases a perfect match between the converged step length and the Cormeau formula for the critical time step was observed. Element locking was removed with the aid of reduced quadrature.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 67 COMPUTATIONAL TECHNIQUES FOR MATERIALS, COMPOSITES AND COMPOSITE STRUCTURES Edited by: B.H.V. Topping Paper I.15 Integration Method with Time Step Control for Viscoplasticity and Creep J. Plesek+ and J. Korous# +Institute of Thermomechanics, Academy of Sciences of the Czech Republic #Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic doi:10.4203/ccp.67.1.15 purchase the full-text of this paper Full Bibliographic Reference for this paper J. Plesek, J. Korous, "Integration Method with Time Step Control for Viscoplasticity and Creep", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 127-135, 2000. doi:10.4203/ccp.67.1.15 Abstract Constitutive equations for viscoplasticity and creep are expressed in terms of stress components, temperature and internal variables. Resulting set of ordinary differential equations of the first order under the guise of the finite element method is integrated by the Euler forward scheme with automatic subincrementation. The time step length is set on the basis of a posteriori error estimate. Testing examples were computed, including benchmark problems introduced by Zienkiewicz and Cormeau. In all the cases a perfect match between the converged step length and the Cormeau formula for the critical time step was observed. Element locking was removed with the aid of reduced quadrature. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £92 +P&P)
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