A fast method called the “inverse approach” for sheet forming modeling is based on the assumptions of the proportional loading and simplified tool actions. To improve the stress estimation, the pseudo-inverse approach was recently developed: some realistic intermediate configurations are geometrically determined to consider the deformation paths; two new efficient algorithms of plastic integration are proposed to consider the loading history. In the direct scalar algorithm (DSA), an elastic unloading-reloading factor is introduced to deal with the bending-unbending effects; the equation in unknown stress vectors is transformed into a scalar equation using the notion of the equivalent stress, thus the plastic multiplier can be directly obtained without iterative resolution scheme. In the -return mapping algorithm, the equivalent plastic strain increment estimated by DSA is taken as the initial solution in Simo’s return mapping algorithm, leading to a stable, efficient, and accurate plastic integration scheme. The numerical experience has shown that these two algorithms give a considerable reduction of CPU time in the plastic integration.
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August 2007
Technical Papers
Two Efficient Algorithms of Plastic Integration for Sheet Forming Modeling
Y. M. Li,
Y. M. Li
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, France
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B. Abbès,
B. Abbès
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, France
Search for other works by this author on:
Y. Q. Guo
Y. Q. Guo
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, France
Search for other works by this author on:
Y. M. Li
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, France
B. Abbès
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, France
Y. Q. Guo
Laboratory of Mechanics, Materials & Structures, Faculty of Sciences,
University of Reims
, BP1039, 51687, Reims, FranceJ. Manuf. Sci. Eng. Aug 2007, 129(4): 698-704 (7 pages)
Published Online: February 13, 2007
Article history
Received:
July 20, 2006
Revised:
February 13, 2007
Citation
Li, Y. M., Abbès, B., and Guo, Y. Q. (February 13, 2007). "Two Efficient Algorithms of Plastic Integration for Sheet Forming Modeling." ASME. J. Manuf. Sci. Eng. August 2007; 129(4): 698–704. https://doi.org/10.1115/1.2738125
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