مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

پیش‌بینی رفتار شکست آلومینیوم 6061-T6 با استفاده از معیار GTN توسعه‌یافته

نوع مقاله : پژوهشی اصیل

نویسندگان
مازیار خادمی 1
حسن مسلمی نایینی 1
محمدجواد میرنیا 2
1 دانشگاه تربیت مدرس
2 دانشیار، دانشگاه صنعتی نوشیروانی بابل
10.52547/mme.22.7.485
چکیده
در این مقاله، توسط معیار شکست GTN و تأثیر تکامل آن، دقت پیش‌بینی شکست مورد بررسی قرار گرفت. به‌منظور بررسی حالت‌های تنش، سه آزمون کالیبراسیون کشش تک‌محوری، کشش برشی و کشش کرنش صفحه‌ای برای کالیبراسیون معیار شکست و همچنین تعیین دقت معیار در پیش‌بینی شکست به کار گرفته شدند. برای مدل‌سازی رفتار شکست در آلومینیوم 6T-6061، معیار شکست نرم GTN توسعه‌یافته، از طریق روش ترکیبی تجربی-شبیه‌سازی کالیبره شد. نرم‌افزار اجزای محدود آباکوس به‌منظور شبیه‌سازی فرایند استفاده شد و معیارهای شکست توسط زیر برنامه VUMAT به این نرم‌افزار اضافه شدند. مقادیر نیرو-جابجایی و طول کورس شکست در آزمون‌های تجربی، به‌منظور صحت‌سنجی نتایج عددی و بررسی دقت معیار مورد استفاده قرار گرفت. مطابق با نتایج، کالیبراسیون با استفاده از آزمون کشش تک‌محوری و کشش برشی، شکست را به‌طور میانگین با خطای 6/17 درصد پیش‌بینی می‌کند درحالی‌که معیار اصلی GTN قادر به پیش‌بینی شکست در آزمون کشش برشی نمی‌باشد و میزان خطا در رابطه با آزمون کشش کرنش صفحه‌ای به 24 درصد می‌رسد. به‌منظور بررسی رفتار شکست آلومینیوم 6T-6061 و صحت‌سنجی معیار کالیبره شده در فرایند پیچیده‌تر و غیر از آزمون‌های کشش، آزمون خم‌کاری U شکل انجام شد. مشخص شد که معیار GTN توسعه‌یافته می‌تواند شروع شکست را در فرآیند خم‌کاری U شکل با خطای 3 درصد پیش‌بینی کند.

کلیدواژه‌ها
شکست
معیارهای GTN
پارامتر سه محوری تنش
خم‌کاری
آزمون‌های کالیبراسیون

موضوعات

عنوان مقاله English

Prediction of 6061-T6 Aluminum Fracture Behavior Using the Extended GTN Criterion

نویسندگان English

Maziar Khademi 1
Hassan Moslemi Naeini 1
Mohammad Javad Mirnia 2
1 Tarbiat Modares University
2 Associate Professor, Babol Noshirvani University of Technology (BNUT)
چکیده English

In this paper, fracture prediction accuracy was evaluated by the GTN ductile fracture criterion and the effect of its evolution. To investigate the stress states, three calibration tests, including uniaxial tension, plane strain tension, and In-plane shear tension, were used to calibrate the failure criterion and determine the accuracy of fracture prediction. For simulation of the fracture behavior in Aluminum 6061-T6, the GTN ductile fracture criterion was calibrated using the combined experimental-simulation method. ABAQUS software was used to simulate the forming process, and fracture criteria were implemented to the software by the VUMAT subroutine. The force-displacement values and the fracture displacement in the experimental tests were used to validate the numerical results and evaluate the fracture criterion accuracy. According to the results, calibration using uniaxial tension and In-plane shear tension tests predicts failure with an average error of 6.17%. While the original GTN criterion cannot predict the fracture of the In-plane shear tension test, the error value in the plane strain tension test reaches 24%. A U- bending test was performed to investigate the fracture behavior of Aluminium 6061-T6 sheets and validate the calibrated fracture criterion in a more complex process other than tension tests. The Extended GTN criterion was found to predict the onset of fracture in the U-bending process with an error of 3%.

کلیدواژه‌ها English

Fracture
GTN Criteria
stress triaxiality
Bending
Calibration Test
Sanford, R., Principles of Fracture Mechanics. 2003. Upper Saddle River: Prentice Hall.
Sanford, R., Principles of Fracture Mechanics. 2003. Upper Saddle River: Prentice Hall.
Dieter, G.E. and D.J. Bacon, Mechanical metallurgy. Vol. 3. 1986: McGraw-hill New York.
Dieter, G.E. and D.J. Bacon, Mechanical metallurgy. Vol. 3. 1986: McGraw-hill New York.
Hosford, W.F. and R.M. Caddell, Metal forming: mechanics and metallurgy. 2011: Cambridge University Press. [DOI:10.1017/CBO9780511976940]
Hosford, W.F. and R.M. Caddell, Metal forming: mechanics and metallurgy. 2011: Cambridge University Press. [DOI:10.1017/CBO9780511976940]
Anderson, T.L., Fracture mechanics: fundamentals and applications. 2017: CRC press. [DOI:10.1201/9781315370293]
Anderson, T.L., Fracture mechanics: fundamentals and applications. 2017: CRC press. [DOI:10.1201/9781315370293]
Lemaitre, J., A continuous damage mechanics model for ductile fracture. Journal of engineering materials and technology, 1985. 107(1): p. 83-89. [DOI:10.1115/1.3225775]
Lemaitre, J., A continuous damage mechanics model for ductile fracture. Journal of engineering materials and technology, 1985. 107(1): p. 83-89. [DOI:10.1115/1.3225775]
Iraj, N.V., An Investigation on the limit drawing using GTN damage model in tube drawing process, in Mechanical Engineering. 2017, Ferdowsi University of Mashhad: Iran. p. 99.
Iraj, N.V., An Investigation on the limit drawing using GTN damage model in tube drawing process, in Mechanical Engineering. 2017, Ferdowsi University of Mashhad: Iran. p. 99.
Gatea, S., et al., Modelling of ductile fracture in single point incremental forming using a modified GTN model. Engineering Fracture Mechanics, 2017. 186: p. 59-79. [DOI:10.1016/j.engfracmech.2017.09.021]
Gatea, S., et al., Modelling of ductile fracture in single point incremental forming using a modified GTN model. Engineering Fracture Mechanics, 2017. 186: p. 59-79. [DOI:10.1016/j.engfracmech.2017.09.021]
Teng, B., W. Wang, and Y. Xu, Ductile fracture prediction in aluminium alloy 5A06 sheet forming based on GTN damage model. Engineering Fracture Mechanics, 2017. 186: p. 242-254. [DOI:10.1016/j.engfracmech.2017.10.014]
Teng, B., W. Wang, and Y. Xu, Ductile fracture prediction in aluminium alloy 5A06 sheet forming based on GTN damage model. Engineering Fracture Mechanics, 2017. 186: p. 242-254. [DOI:10.1016/j.engfracmech.2017.10.014]
Thuillier, S., N. Le Maoût, and P.-Y. Manach, Influence of ductile damage on the bending behaviour of aluminium alloy thin sheets. Materials & Design, 2011. 32(4): p. 2049-2057. [DOI:10.1016/j.matdes.2010.11.050]
Thuillier, S., N. Le Maoût, and P.-Y. Manach, Influence of ductile damage on the bending behaviour of aluminium alloy thin sheets. Materials & Design, 2011. 32(4): p. 2049-2057. [DOI:10.1016/j.matdes.2010.11.050]
Wu, H., et al., Mechanism of increasing spinnability by multi-pass spinning forming-Analysis of damage evolution using a modified GTN model. International Journal of Mechanical Sciences, 2019. 159: p. 1-19. [DOI:10.1016/j.ijmecsci.2019.05.030]
Wu, H., et al., Mechanism of increasing spinnability by multi-pass spinning forming-Analysis of damage evolution using a modified GTN model. International Journal of Mechanical Sciences, 2019. 159: p. 1-19. [DOI:10.1016/j.ijmecsci.2019.05.030]
Gholipour, H., F. Biglari, and K. Nikbin, Experimental and numerical investigation of ductile fracture using GTN damage model on in-situ tensile tests. International Journal of Mechanical Sciences, 2019. 164: p. 105170. [DOI:10.1016/j.ijmecsci.2019.105170]
Gholipour, H., F. Biglari, and K. Nikbin, Experimental and numerical investigation of ductile fracture using GTN damage model on in-situ tensile tests. International Journal of Mechanical Sciences, 2019. 164: p. 105170. [DOI:10.1016/j.ijmecsci.2019.105170]
Sun, Q., Y. Lu, and J. Chen, Identification of material parameters of a shear modified GTN damage model by small punch test. International Journal of Fracture, 2020: p. 1-11. [DOI:10.1007/s10704-020-00428-4]
Sun, Q., Y. Lu, and J. Chen, Identification of material parameters of a shear modified GTN damage model by small punch test. International Journal of Fracture, 2020: p. 1-11. [DOI:10.1007/s10704-020-00428-4]
Lou, Y. and H. Huh, Extension of a shear-controlled ductile fracture model considering the stress triaxiality and the Lode parameter. International Journal of Solids and Structures, 2013. 50(2): p. 447-455. [DOI:10.1016/j.ijsolstr.2012.10.007]
Lou, Y. and H. Huh, Extension of a shear-controlled ductile fracture model considering the stress triaxiality and the Lode parameter. International Journal of Solids and Structures, 2013. 50(2): p. 447-455. [DOI:10.1016/j.ijsolstr.2012.10.007]
Permeh, M., Prediction of Failure in High Temperature Using GTN Model and Finite Element Simulation in AA 5083 Sheets, in Manufacturing Engineering. 2015, Babol Noshirvani University of Technology: Iran. p. 100.
Permeh, M., Prediction of Failure in High Temperature Using GTN Model and Finite Element Simulation in AA 5083 Sheets, in Manufacturing Engineering. 2015, Babol Noshirvani University of Technology: Iran. p. 100.
Abbasi, M., et al., Application of response surface methodology to drive GTN model parameters and determine the FLD of tailor welded blank. Computational Materials Science, 2012. 53(1): p. 368-376. [DOI:10.1016/j.commatsci.2011.08.020]
Abbasi, M., et al., Application of response surface methodology to drive GTN model parameters and determine the FLD of tailor welded blank. Computational Materials Science, 2012. 53(1): p. 368-376. [DOI:10.1016/j.commatsci.2011.08.020]
Bettaieb, M.B., et al., On the numerical integration of an advanced Gurson model. International journal for numerical methods in engineering, 2011. 85(8): p. 1049-1072. [DOI:10.1002/nme.3010]
Bettaieb, M.B., et al., On the numerical integration of an advanced Gurson model. International journal for numerical methods in engineering, 2011. 85(8): p. 1049-1072. [DOI:10.1002/nme.3010]
Cao, T.-S., et al., A comparative study of three ductile damage approaches for fracture prediction in cold forming processes. Journal of Materials Processing Technology, 2015. 216: p. 385-404. [DOI:10.1016/j.jmatprotec.2014.10.009]
Cao, T.-S., et al., A comparative study of three ductile damage approaches for fracture prediction in cold forming processes. Journal of Materials Processing Technology, 2015. 216: p. 385-404. [DOI:10.1016/j.jmatprotec.2014.10.009]
Malcher, L., F.A. Pires, and J.C. De Sá, An extended GTN model for ductile fracture under high and low stress triaxiality. International Journal of Plasticity, 2014. 54: p. 193-228. [DOI:10.1016/j.ijplas.2013.08.015]
Malcher, L., F.A. Pires, and J.C. De Sá, An extended GTN model for ductile fracture under high and low stress triaxiality. International Journal of Plasticity, 2014. 54: p. 193-228. [DOI:10.1016/j.ijplas.2013.08.015]
Malcher, L., et al., Evaluation of shear mechanisms and influence of the calibration point on the numerical results of the GTN model. International Journal of Mechanical Sciences, 2013. 75: p. 407-422. [DOI:10.1016/j.ijmecsci.2013.08.008]
Malcher, L., et al., Evaluation of shear mechanisms and influence of the calibration point on the numerical results of the GTN model. International Journal of Mechanical Sciences, 2013. 75: p. 407-422. [DOI:10.1016/j.ijmecsci.2013.08.008]
Malcher, L., F.A. Pires, and J.C. De Sá, An assessment of isotropic constitutive models for ductile fracture under high and low stress triaxiality. International Journal of Plasticity, 2012. 30: p. 81-115. [DOI:10.1016/j.ijplas.2011.10.005]
Malcher, L., F.A. Pires, and J.C. De Sá, An assessment of isotropic constitutive models for ductile fracture under high and low stress triaxiality. International Journal of Plasticity, 2012. 30: p. 81-115. [DOI:10.1016/j.ijplas.2011.10.005]
Mirnia, M.J. and M. Shamsari, Numerical prediction of failure in single point incremental forming using a phenomenological ductile fracture criterion. Journal of Materials Processing Technology, 2017. 244: p. 17-43. [DOI:10.1016/j.jmatprotec.2017.01.029]
Mirnia, M.J. and M. Shamsari, Numerical prediction of failure in single point incremental forming using a phenomenological ductile fracture criterion. Journal of Materials Processing Technology, 2017. 244: p. 17-43. [DOI:10.1016/j.jmatprotec.2017.01.029]
Shen, Y., et al., Experimental and numerical characterization of anisotropic damage evolution of forged Al6061-T6 alloy. Procedia Engineering, 2011. 10: p. 3429-3434. [DOI:10.1016/j.proeng.2011.04.565]
Shen, Y., et al., Experimental and numerical characterization of anisotropic damage evolution of forged Al6061-T6 alloy. Procedia Engineering, 2011. 10: p. 3429-3434. [DOI:10.1016/j.proeng.2011.04.565]
Le Maoût, N., S. Thuillier, and P.-Y. Manach, Aluminum alloy damage evolution for different strain paths-Application to hemming process. Engineering Fracture Mechanics, 2009. 76(9): p. 1202-1214. [DOI:10.1016/j.engfracmech.2009.01.018]
Le Maoût, N., S. Thuillier, and P.-Y. Manach, Aluminum alloy damage evolution for different strain paths-Application to hemming process. Engineering Fracture Mechanics, 2009. 76(9): p. 1202-1214. [DOI:10.1016/j.engfracmech.2009.01.018]
Talebi-Ghadikolaee, H., et al., Fracture analysis on U-bending of AA6061 aluminum alloy sheet using phenomenological ductile fracture criteria. Thin-Walled Structures, 2020. 148: p. 106566. [DOI:10.1016/j.tws.2019.106566]
Talebi-Ghadikolaee, H., et al., Fracture analysis on U-bending of AA6061 aluminum alloy sheet using phenomenological ductile fracture criteria. Thin-Walled Structures, 2020. 148: p. 106566. [DOI:10.1016/j.tws.2019.106566]
مهندسی مکانیک مدرس
دوره 22، شماره 7
تیر 1401
صفحه 485-496