Constitutive modeling of softening mechanism and damage for Ti–6Al–4V alloy and its application in hot tensile simulation process

• Autorzy: Yang Xiaoming , Wang Baoyu , Zhou Jing , Xiao Wenchao , Feng Pengni

Identyfikatory

DOI

10.1007/s43452-021-00217-3

• Języki publikacji: EN

Abstrakty

EN

In this paper, a unified viscoplastic constitutive model for Ti–6Al–4V alloy coupling with damage and softening mechanisms was established to predict the flow behaviors and damage evolution in hot tensile process. To obtain the flow behaviors of Ti–6Al–4V alloy, the hot tensile tests were performed at temperatures between 750 °C and 850 °C and strain rates of 0.01–1 s−1. Then the evolution of microstructure was investigated by scanning electron microscope (SEM) under hot tensile conditions. Otherwise, the macro-fracture morphology of the tensile specimen was observed by SEM. The flow stress and microstructure evolution were predicted based on the set of constitutive model. The constitutive model was embed in ABAQUS by coding a user-defined material subroutine. The results show that the flow stress increases with the temperature decreasing and the strain rate increasing. By comparing the experimental and calculated results, the flow stress and damage evolution can be accurately predicted by the constitutive model. The fracture due to damage can be well predicted by the simulation model, indicating the good predictability of the constitutive model.

Słowa kluczowe

EN

constitutive model; softening mechanism; damage; titanium alloy; hot tensile

PL

model konstytutywny; uszkodzenie; stop tytanu; rozciąganie

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2021
• Tom: Vol. 21, no. 2
• Strony: 479--491
• Opis fizyczny: Bibliogr. 35 poz., rys., wykr.

Twórcy

autor

Yang Xiaoming

• School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

autor

Wang Baoyu

• School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
• Beijing Key Laboratory of Metal Lightweight Forming Manufacturing, Beijing, 100083, China

• https://orcid.org/0000-0003-0462-9511

autor

Zhou Jing

• School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
• Beijing Key Laboratory of Metal Lightweight Forming Manufacturing, Beijing, 100083, China

autor

Xiao Wenchao

• School of Engineering and Technology, China University of Geosciences (Beijing), Beijing 100083, China

autor

Feng Pengni

• School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Bibliografia

• [1] Chaboche JL. A review of some plasticity and viscoplasticity constitutive theories. Int J Plast. 2008;24(10):1642–93.
• [2] Zhou X, Ma TF, Zhang LC, Zhang YS, Zhang PX. Mechanical property and microstructure evolution of nitrogen-modified Ti–6Al–4V alloy with core-shell structure by hot compression. Mater Charact. 2018;142:270–5.
• [3] Garbiec D, Siwak P, Mroz A. Effect of compaction pressure and heating rate on microstructure and mechanical properties of spark plasma sintered Ti6Al4V alloy. Arch Civ Mech Eng. 2016;16:702–7.
• [4] Zhang X, Zhu CC, Hu L, Wu HQ, Li CF. Investigations on microstructure evolution of TA1 titanium alloy subjected to electromagnetic impact loading. Arch Civ Mech Eng. 2019;19:233–45.
• [5] Kapoor K, Ravi P, Naragani D, Park JS, Almer JD, Sangid MD. Strain rate sensitivity, microstructure variations, and stress-assisted β→α” phase transformation investigation on the mechanical behavior of dual-phase titanium alloys. Mater Charact. 2020;166:110410.
• [6] Sun SD, Zong YY, Shan DB, Guo B. Hot deformation behavior and microstructure evolution of TC4 alloy titanium alloy. T Non-ferrous Metal Soc. 2010;20(10):2181–4.
• [7] Quan GZ, Luo GC, Liang JT, Wu DS, Mao A, Liu Q. Modelling for the dynamic recrystallization evolution of Ti–6Al–4V alloy in two-phase temperature range and a wide strain rate range. Comput Mater Sci. 2015;97(1):136–47.
• [8] Li DR, Wang K, Yan ZB, Gao Y, Misra RDK, Xin RL, Liu Q. Evolution of microstructure and tensile properties during the three-stage heat treatment of TA19 titanium alloy. Mater Sci Eng A. 2018;716:157–64.
• [9] Zhou Y, Wang K, Yan ZB, Xin RL, Wei AZ, Wang XD, Liu Q. Ex-situ study on mechanical properties and deformation mechanism of three typical microstructures in TA19 titanium alloy. Mater Charact. 2020;167:110571.
• [10] Bai Q, Lin J, Dean TA, Balint DS, Gao T, Zhang Z. Modelling of dominant softening mechanisms for Ti–6Al–4V in steady state hot forming conditions. Mater Sci Eng A. 2013;559:352–8.
• [11] Velay V, Matsumoto H, Vidal V, Chiba A. Behavior modelling and microstructural evolutions of Ti–6Al–4V alloy under hot forming conditions. Int J Mech Sci. 2016;108–109:1–13.
• [12] Lin J, Liu Y, Dean TA. A review on damage mechanisms models and calibration methods under various deformation conditions. Int J Damage Mech. 2005;14(4):299–319.
• [13] He JL, Cui ZS, Chen F, Xiao YH, Ruan LQ. The new ductile fracture criterion for 30Cr2Ni4MoV ultra-super-critical rotor steel at elevated temperatures. Mater Des. 2013;52:547–55.
• [14] Zhan M, Zhang T, Yang H, Li LJ. Establishment of a thermal damage model for Ti-6Al-2Zr-1Mo-1V titanium alloy and its application in the tube rolling-spinning process. Int J Adv Manuf Tech. 2016;87:1345–57.
• [15] Roth CC, Mohr D. Effect of strain rate on the ductile fracture initiation in advanced high strength steel sheets: Experiments and modeling. Int J Plast. 2014;56:19–44.
• [16] Yang L, Wang BY, Lin JG, Zhao HJ, Ma WY. Ductile fracture behavior of TA15 titanium alloy at elevated temperature. Int J Min Met Mater. 2015;22:1082–91.
• [17] Yang Y, Jiang Z, Wang C, Hu HB, Tang TG, Zhang HS, Fu YN. Effects of the phase interface on initial spallation damage nucleation and evolution in dual phase titanium alloy. Mater Sci Eng A. 2018;731:385–93.
• [18] Cai J, Li FG, Liu TY, Chen B, He M. Constitutive equations for elevated temperature flow stress of Ti–6Al–4V alloy considering the effect of strain. Mater Des. 2011;32(3):1144–51.
• [19] Shi S, Dong HB, Jiang ZY, Wang XN, Zhu ZS. Hot deformation behavior of TB17 titanium alloy based on BP neural network. Sp Cast Nonferrous Alloys. 2019;39:434–8.
• [20] Li JL, Wang BY, Huang H, Fang S, Chen P, Shen JX. Unified modelling of the flow behavior and softening mechanism of a TC6 titanium alloy during hot deformation. J Alloy Compd. 2018;748:1031–43.
• [21] Fan XG, Yang H, Gao PF. Prediction of constitutive behavior and microstructure evolution in hot deformation of TA15 titanium alloy. Mater Des. 2013;51:34–42.
• [22] Wang Y, Liu KN, Hu N, Wei Q, Qiao GC, Yang C, Lang LH. Viscoplastic constitutive equations for modeling fluid loading and damage evolution during warm medium forming. Eng Fract Mech. 2020;235:107154.
• [23] Gao PF, Guo J, Zhan M, Lei ZN, Fu MW. Microstructure and damage based constitutive modelling of hot deformation of titanium alloys. J Alloy Compd. 2020;831:1–14.
• [24] Yasmeen T, Shao ZT, Zhao L, Gao P, Lin JG, Jiang J. Constitutive modelling for the simulation of the superplastic forming of TA15 titanium alloy. Int J Mech Sci. 2019;164:105178.
• [25] Xiao WC, Wang BY, Kang Y. Applying the damage constitutive model for predicting thermal deformation of AA7075 aluminum sheet. Proc Eng. 2017;207:149–54.
• [26] Tang Z, Yang H, Sun Z, Li ZY, Duan H. Microstructure evolution and numerical simulation of TA15 titanium alloy during hot compressive deformation. Chin J Nonferrous Met. 2008;18:722–7.
• [27] Lütjering G, Williams JC. Titanium: Engineering materials and process. 2nd ed. Berlin: Springer; 2007.
• [28] Souza PM, Beladi H, Singh R, Rolfe B, Hodgson PD. Constitutive analysis of hot deformation behavior of a Ti–6Al–4V alloy using physical based model. Mater Sci Eng A. 2015;648:265–73.
• [29] Lin J, Liu Y. A set of unified constitutive equations for modelling microstructure evolution in hot deformation. J Mater Process Tech. 2003;143:281–5.
• [30] Lin J, Dean TA. Modelling of microstructure evolution in hot forming using unified constitutive equations. J Mater Process Tech. 2005;167(2–3):354–62.
• [31] Khan AS, Suh YS, Kazmi R. Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys. Int J Plast. 2004;20(12):2233–48.
• [32] Cao J, Lin J. A study on formulation of objective functions for determining material models. Int J Mech Sci. 2008;50(2):193–204.
• [33] Lin J, Yang J. GA-based multiple objective optimization for determining viscoplastic constitutive equations for superplastic alloys. Int J Plast. 1995;15(11):1181–96.
• [34] Li H, Wei D, Li Y, Wang X. Application of artificial neural network and constitutive equations to describe the hot compressive behavior of 28CrMnMoV steel. Mater Des. 2012;35:557–62.
• [35] Zhou J, Wang B, Huang M. Two constitutive descriptions of boron steel 22MnB5 at high temperature. Mater Des. 2014;63:738–48.