Parameters identification of material models based on the inverse analysis

Danuta Szeliga; Jerzy Gawąd; Maciej Pietrzyk

International Journal of Applied Mathematics and Computer Science (2004)

  • Volume: 14, Issue: 4, page 549-556
  • ISSN: 1641-876X

Abstract

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The paper presents an application of the inverse analysis to the identification of two models: a phase transformation model and a rheological model. The optimization algorithm for the inverse analysis was tested for various techniques of searching for the minimum: derivative-free and gradient methods, as well as genetic algorithms. Simulation results were validated for microalloyed niobium steel. An optimization strategy, which is adequate for the inverse analysis, is suggested.

How to cite

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Szeliga, Danuta, Gawąd, Jerzy, and Pietrzyk, Maciej. "Parameters identification of material models based on the inverse analysis." International Journal of Applied Mathematics and Computer Science 14.4 (2004): 549-556. <http://eudml.org/doc/207719>.

@article{Szeliga2004,
abstract = {The paper presents an application of the inverse analysis to the identification of two models: a phase transformation model and a rheological model. The optimization algorithm for the inverse analysis was tested for various techniques of searching for the minimum: derivative-free and gradient methods, as well as genetic algorithms. Simulation results were validated for microalloyed niobium steel. An optimization strategy, which is adequate for the inverse analysis, is suggested.},
author = {Szeliga, Danuta, Gawąd, Jerzy, Pietrzyk, Maciej},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {inverse analysis; phase transformation; internal variable model; optimization; gradient methods; genetic algorithms},
language = {eng},
number = {4},
pages = {549-556},
title = {Parameters identification of material models based on the inverse analysis},
url = {http://eudml.org/doc/207719},
volume = {14},
year = {2004},
}

TY - JOUR
AU - Szeliga, Danuta
AU - Gawąd, Jerzy
AU - Pietrzyk, Maciej
TI - Parameters identification of material models based on the inverse analysis
JO - International Journal of Applied Mathematics and Computer Science
PY - 2004
VL - 14
IS - 4
SP - 549
EP - 556
AB - The paper presents an application of the inverse analysis to the identification of two models: a phase transformation model and a rheological model. The optimization algorithm for the inverse analysis was tested for various techniques of searching for the minimum: derivative-free and gradient methods, as well as genetic algorithms. Simulation results were validated for microalloyed niobium steel. An optimization strategy, which is adequate for the inverse analysis, is suggested.
LA - eng
KW - inverse analysis; phase transformation; internal variable model; optimization; gradient methods; genetic algorithms
UR - http://eudml.org/doc/207719
ER -

References

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  14. Szeliga D.and Pietrzyk M.(2002): Identification of rheological and tribological parameters, In: Metal Forming Science and Practice (Lenard J.G., Ed.). — Amsterdam: Elsevier, pp. 227–258. 
  15. Szeliga D., Gawąd J., Kondek T. and PietrzykM. (2003): Identification of parameters of models based on the inverse analysis. — Proc. Conf. Computer methods and systems in scientific research and engineering desing, Cracow, Poland, pp. 761–766 (in Polish). 
  16. Szyndler D., Pietrzyk M. and Kuziak R.(2001a): Estimation of rheological and friction parameters in hot forming processes as inverse problem. — Proc. Conf. ESAFORM 2001, Liege, Belgium, pp. 191–194. 
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  18. Talar J., Szeliga D. and Pietrzyk M. (2002): Application of genetic algorithms for identification of rheological and friction parameters of copper. — Arch. Metall., Vol. 47, No. 1, pp. 27–41. 

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