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EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS

Year 2019, Volume: 8 Issue: 1, 447 - 463, 28.01.2019

Süleyman Kılıç İlyas Kacar Fahrettin Öztürk Serkan Toros

https://doi.org/10.28948/ngumuh.517160
Cited By: 1

Abstract

   The improved
yield criteria are generally used in the finite element simulations of plastic
deformation processes. Calculation accuracies of these criteria coefficients result
successful simulation outcomes. In this study, the coefficients of the YLD2000
yield criterion are calculated by three most widely used optimization methods
in literature, namely the least squares, nonlinear conditional optimization,
and genetic algorithm methods. Two different aluminum alloys, AA7003-T6 and
AA6063-T6 are selected to verify the prediction results. Results reveal that the
nonlinear conditional optimization and genetic algorithm methods are very
dependent on the initial values. Therefore, different result is determined for
each different case. For this reason, it has been concluded that the least
squares method should be preferred to calculate the coefficients of the yield
criterion by using optimizing method.

Keywords

YLD2000 yield criteria coefficients of yield criterion optimization AA7003-T6 AA6063-T6

References

  • [1] HILL R., "A theory of the yielding and plastic flow of anisotropic metals", Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 193, 281-297, 1948.
  • [2] HILL R., "A user-friendly theory of orthotropic plasticity in sheet metals", Int J Mech Sci, 35, 19-25, 1993.
  • [3] BARLAT F., BECKER R.C., HAYASHIDA Y., MAEDA Y., YANAGAWA M., CHUNG K., BREM J.C., LEGE D.J., MATSUI K., MURTHA S.J., HATTORI S., "Yielding description for solution strengthened aluminum alloys", Int J Plasticity, 13, 385-401, 1997.
  • [4] BARLAT F., LEGE D.J., BREM J.C., "A six-component yield function for anisotropic materials", International Journal of Plasticity, 7, 693-712, 1991.
  • [5] BARLAT F., MAEDA Y., CHUNG K., YANAGAWA M., BREM J.C., HAYASHIDA Y., LEGE D.J., MATSUI K., MURTHA S.J., HATTORI S., BECKER R.C., MAKOSEY S., "Yield function development for aluminum alloy sheets", Journal of the Mechanics and Physics of Solids, 45, 1727-1763, 1997.
  • [6] BARLAT F., BREM J.C., YOON J.W., CHUNG K., DICK R.E., LEGE D.J., POURBOGHRAT F., CHOI S.H., CHU E., "Plane stress yield function for aluminum alloy sheets - Part 1: Theory", Int J Plasticity, 19, 23, 2003.
  • [7] HOLGER A., "Applications of a new plane stress yield function to orthotropic steel and aluminium sheet metals", Modelling and Simulation in Materials Science and Engineering, 12, 491, 2004.
  • [8] BARLAT F., ARETZ H., YOON J.W., KARABIN M.E., BREM J.C., DICK R.E., "Linear transfomation-based anisotropic yield functions", Int J Plasticity, 21, 1009-1039, 2005.
  • [9] KILIÇ S., Farklı alüminyum alaşımlarında YLD2000 ve YLD2003 akma kriterlerinin performansının incelenmesi, in: II. International scientific and vocational studies congress (BILMES18), Nevşehir, 2018.
  • [10] VAN DEN BOOGAARD T., HAVINGA J., BELIN A., BARLAT F., "Parameter reduction for the Yld2004-18p yield criterion", Int J Mater Form, 9, 175-178, 2016.
  • [11] ACHANI D., HOPPERSTAD O.S., LADEMO O.G., "Behaviour of extruded aluminium alloys under proportional and non-proportional strain paths", Journal of Materials Processing Technology, 209, 4750-4764, 2009.
  • [12] RADIOELEKTRONIKY K., Optimization Toolbox, lsqnonlin, in, 2018.
  • [13] MathWorks Inc, MATLAB : the language of technical computing : computation, visualization, programming : installation guide for UNIX version 5, Natwick : Math Works Inc., 1996.
  • [14] MathWorks Inc, Genetic Algorithm, in, 2018.
  • [15] Wikipedia, Genetik algoritma, in, 2018.
  • [16] BANABIC D., COMSA D.S., GAWAD J., Plastic Behaviour of Sheet Metals, in: Multiscale Modelling in Sheet Metal Forming, Springer, 2016.

FARKLI OPTİMİZASYON YÖNTEMLERİNİN YLD2000 AKMA KRİTERİ KATSAYILARININ TAHMİNLERİNE ETKİLERİ

Year 2019, Volume: 8 Issue: 1, 447 - 463, 28.01.2019

Süleyman Kılıç İlyas Kacar Fahrettin Öztürk Serkan Toros

https://doi.org/10.28948/ngumuh.517160
Cited By: 1

Abstract

   Plastik deformasyon proseslerinin sonlu
elemanlar simülasyonlarında genellikle gelişmiş akma kriterleri kullanılmaktadır.
Bu kriterlerin katsayılarının doğru hesaplanması simülasyonun sonuçlarının
başarısına etki etmektedir. Bu çalışmada literatürde en çok kullanılan üç
optimizasyon yöntemlerinden en küçük kareler, nonlineer şartlı optimizasyon ve
genetik algoritma kullanılarak, YLD2000 akma kriterinin katsayıları hesaplanmıştır.
Tahmin edilen sonuçları doğrulamak için iki farklı alüminyum alaşımı
seçilmiştir. Elde edilen sonuçlara göre nonlineer şartlı optimizasyon ve
genetik algoritma yöntemlerinin girilen başlangıç değerlerine çok bağlı olduğu
ve her farklı durum için farklı sonuçlar verdiği tespit edilmiştir. Bu nedenle
akma kriterlerinin katsayılarının optimizasyon medodu ile hesaplanması
işlemlerinde en küçük kareler yönteminin tercih edilmesi gerektiği sonucuna varılmıştır.

Keywords

YLD2000 akma kriteri akma kriteri katsayıları optimizasyon AA7003-T6 AA6063-T6

References

  • [1] HILL R., "A theory of the yielding and plastic flow of anisotropic metals", Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 193, 281-297, 1948.
  • [2] HILL R., "A user-friendly theory of orthotropic plasticity in sheet metals", Int J Mech Sci, 35, 19-25, 1993.
  • [3] BARLAT F., BECKER R.C., HAYASHIDA Y., MAEDA Y., YANAGAWA M., CHUNG K., BREM J.C., LEGE D.J., MATSUI K., MURTHA S.J., HATTORI S., "Yielding description for solution strengthened aluminum alloys", Int J Plasticity, 13, 385-401, 1997.
  • [4] BARLAT F., LEGE D.J., BREM J.C., "A six-component yield function for anisotropic materials", International Journal of Plasticity, 7, 693-712, 1991.
  • [5] BARLAT F., MAEDA Y., CHUNG K., YANAGAWA M., BREM J.C., HAYASHIDA Y., LEGE D.J., MATSUI K., MURTHA S.J., HATTORI S., BECKER R.C., MAKOSEY S., "Yield function development for aluminum alloy sheets", Journal of the Mechanics and Physics of Solids, 45, 1727-1763, 1997.
  • [6] BARLAT F., BREM J.C., YOON J.W., CHUNG K., DICK R.E., LEGE D.J., POURBOGHRAT F., CHOI S.H., CHU E., "Plane stress yield function for aluminum alloy sheets - Part 1: Theory", Int J Plasticity, 19, 23, 2003.
  • [7] HOLGER A., "Applications of a new plane stress yield function to orthotropic steel and aluminium sheet metals", Modelling and Simulation in Materials Science and Engineering, 12, 491, 2004.
  • [8] BARLAT F., ARETZ H., YOON J.W., KARABIN M.E., BREM J.C., DICK R.E., "Linear transfomation-based anisotropic yield functions", Int J Plasticity, 21, 1009-1039, 2005.
  • [9] KILIÇ S., Farklı alüminyum alaşımlarında YLD2000 ve YLD2003 akma kriterlerinin performansının incelenmesi, in: II. International scientific and vocational studies congress (BILMES18), Nevşehir, 2018.
  • [10] VAN DEN BOOGAARD T., HAVINGA J., BELIN A., BARLAT F., "Parameter reduction for the Yld2004-18p yield criterion", Int J Mater Form, 9, 175-178, 2016.
  • [11] ACHANI D., HOPPERSTAD O.S., LADEMO O.G., "Behaviour of extruded aluminium alloys under proportional and non-proportional strain paths", Journal of Materials Processing Technology, 209, 4750-4764, 2009.
  • [12] RADIOELEKTRONIKY K., Optimization Toolbox, lsqnonlin, in, 2018.
  • [13] MathWorks Inc, MATLAB : the language of technical computing : computation, visualization, programming : installation guide for UNIX version 5, Natwick : Math Works Inc., 1996.
  • [14] MathWorks Inc, Genetic Algorithm, in, 2018.
  • [15] Wikipedia, Genetik algoritma, in, 2018.
  • [16] BANABIC D., COMSA D.S., GAWAD J., Plastic Behaviour of Sheet Metals, in: Multiscale Modelling in Sheet Metal Forming, Springer, 2016.
There are 16 citations in total.

Details

Primary Language English
Subjects Mechanical Engineering
Journal Section Mechanical Engineering
Authors

Süleyman Kılıç 0000-0002-1681-9403

İlyas Kacar This is me 0000-0002-5887-8807

Fahrettin Öztürk This is me 0000-0001-9517-7957

Serkan Toros This is me 0000-0003-0438-2862

Publication Date January 28, 2019
Submission Date July 3, 2018
Acceptance Date September 13, 2018
Published in Issue Year 2019 Volume: 8 Issue: 1

Cite

APA Kılıç, S., Kacar, İ., Öztürk, F., Toros, S. (2019). EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 8(1), 447-463. https://doi.org/10.28948/ngumuh.517160
AMA Kılıç S, Kacar İ, Öztürk F, Toros S. EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS. NOHU J. Eng. Sci. January 2019;8(1):447-463. doi:10.28948/ngumuh.517160
Chicago Kılıç, Süleyman, İlyas Kacar, Fahrettin Öztürk, and Serkan Toros. “EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS”. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi 8, no. 1 (January 2019): 447-63. https://doi.org/10.28948/ngumuh.517160.
EndNote Kılıç S, Kacar İ, Öztürk F, Toros S (January 1, 2019) EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi 8 1 447–463.
IEEE S. Kılıç, İ. Kacar, F. Öztürk, and S. Toros, “EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS”, NOHU J. Eng. Sci., vol. 8, no. 1, pp. 447–463, 2019, doi: 10.28948/ngumuh.517160.
ISNAD Kılıç, Süleyman et al. “EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS”. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi 8/1 (January 2019), 447-463. https://doi.org/10.28948/ngumuh.517160.
JAMA Kılıç S, Kacar İ, Öztürk F, Toros S. EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS. NOHU J. Eng. Sci. 2019;8:447–463.
MLA Kılıç, Süleyman et al. “EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS”. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, vol. 8, no. 1, 2019, pp. 447-63, doi:10.28948/ngumuh.517160.
Vancouver Kılıç S, Kacar İ, Öztürk F, Toros S. EFFECTS OF DIFFERENT OPTIMIZATION METHODS ON THE PREDICTIONS OF YLD2000 YIELD CRITERION COEFFICIENTS. NOHU J. Eng. Sci. 2019;8(1):447-63.

Cited By

YLD 2000 akma fonksiyonu parametrelerinin belirlenmesinde ardışık kuadratik programlama ve aktif set metotlarının performansının incelenmesi
Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi
Bora ŞENER
https://doi.org/10.28948/ngumuh.826850
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