Abnormal Twinning Behavior and Constitutive Modeling of a Fine-Grained Extruded Mg-8.0Al-0.1Mn-2.0Ca Alloy under High-Speed Impact along Various Directions

doi:10.1007/s40195-022-01471-x

Abstract

Abstract:

To understand the mechanical and twinning behaviors of a fine-grained extruded Mg-8.0Al-0.1Mn-2.0Ca alloy under high-speed impact, impact tests were carried out using a split Hopkinson pressure bar, and microstructures at strains of 0.05, 0.10 and 0.20 were obtained using a series of stop rings manufactured by high-strength steel. The stress response and twinning behavior are closely related to loading direction and applied strain rate. The true stress-true strain curves are s-shaped in extrusion direction (ED) and c-shaped in transverse direction (TD), showing apparent anisotropy, while the yield strength is insensitive to loading direction. Almost identical strain-rate sensitivity is demonstrated by the stress in ED and TD. Interestingly, de-twinning is apparent as the applied strain increases to 0.20, and it is enhanced with increasing the applied strain rate. In contrast, the twin density in ED samples is clearly higher than that in TD samples. By modifying the terms of strain hardening and strain rate hardening in the classical JC model, an optimized model is built, which can accurately predict the stress response behavior of the studied alloy under high-speed impact along ED and TD. The correlation coefficient (R) and average absolute relative error (AARE) are 98.63% and 0.0199 for ED, and 96.88% and 0.0202 for TD, respectively.

Key words: High-speed impact, Magnesium alloy, Twinning behavior, Constitutive model, Anisotropy

Fei-Yang Chen, Peng-Cheng Guo, Zi-Han Jiang, Xiao Liu, Tie-Jun Song, Chao Xie. Abnormal Twinning Behavior and Constitutive Modeling of a Fine-Grained Extruded Mg-8.0Al-0.1Mn-2.0Ca Alloy under High-Speed Impact along Various Directions[J]. Acta Metallurgica Sinica (English Letters), 2023, 36(2): 281-294.

Figures/Tables 18

Fig. 1 a Schematic of sampling from extruded bar, b initial microstructure of the extruded magnesium alloy in solution treated condition

Fig. 2 Pole figures of the as-extruded alloy

Fig. 3 True stress-true strain curves of the extruded Mg-8.0Al-0.1Mn-2.0Ca alloy in a ED, b TD

Fig. 4 Yield and ultimate strengths of the studied alloy in ED and TD

Fig. 5 Microstructure evolution of the studied alloy impacted at strain rate of 2500 s?1 along ED with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in b

Fig. 6 Microstructure evolution of the studied alloy impacted at strain rate of 3900 s?1 along ED with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in a and c

Fig. 7 Microstructure evolution of the studied alloy impacted at strain rate of 5000 s?1 along ED with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in a

Fig. 8 Microstructure evolution of the studied alloy impacted at strain rate of 2500 s?1 along TD with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in a-c

Fig. 9 Microstructure evolution of the studied alloy impacted at strain rate of 3900 s?1 along TD with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in b

Fig. 10 Microstructure evolution of the studied alloy impacted at strain rate of 5000 s?1 along TD with strains of a 0.05, b 0.10 and c 0.20, d magnified images of the regions marked in a and c

Fig. 11 TEM images of the studied alloy impacted at strain rate of 5000 s?1 along a, b ED, c, d TD with strain of 0.20

Fig. 12 a True stress-true strain curves, b polynomial fitting results by the modified strain hardening term at reference condition

Table 1 Polynomial fitting results of the modified strain hardening term

Orientations	Parameters
Orientations	A	B	C	D
ED	128.61	1526.57	28,369.10	− 122,015.95
TD	99.46	3032.09	− 5414.26	-

Fig. 13 Fitting results of the relationship between strain rate hardening parameter F and strain rate $\dot{\varepsilon }$: a ED and b TD

Fig. 14 Fitting results of the relationship between the parameter G and true plastic strain

Table 2 Fitting results of the parameters in Eqs. (11) and (12)

Orientations	Parameters
Orientations	H	I	J	K	L
ED	1.56E-5	− 1.44E-4	7.09E-4	− 0.0015	-
TD	7.82E-6	0.015	2.34E-5	0.358	− 8.45E-6

Fig. 15 Comparisons between constitutive fitting results and experimental results: a ED, b TD

Fig. 16 Correlation between constitutive fitting results and experimental results

References 42

[1]	D.D. Zhang, H.C. Pan, J.R. Li, D.S. Xie, D.P. Zhang, C.J. Che, J. Meng, G.W. Qin, Mater. Sci. Eng. A 833, 142565 (2022) DOI URL
[2]	S.Y. Jin, X.C. Ma, R.Z. Wu, T.Q. Li, J.X. Wang, B. Krit, L. Hou, J.H. Zhang, G.X. Wang, Int. J. Miner. Metall. Mater. 29, 1453 (2022) DOI URL
[3]	W.L. Cheng, L.F. Wang, H. Zhang, X.Q. Cao, J. Mater. Process. Technol. 254, 302 (2018) DOI URL
[4]	H.C. Pan, R. Kang, J.R. Li, H.B. Xie, Z.R. Zeng, Q.Y. Huang, C.L. Yang, Y.P. Ren, G.W. Qin, Acta Mater. 186, 278 (2020) DOI URL
[5]	X.C. Ma, S.Y. Jin, R.Z. Wu, J.X. Wang, G.X. Wang, B. Krit, S. Betsofen, Trans. Nonferrous Met. Soc. China 31, 3228 (2021) DOI URL
[6]	W.G. Feather, S. Ghorbanpour, D.J. Savage, M. Ardeljan, M. Jahedi, B.A. Mcwilliams, N. Gupta, C.C. Xiang, S.C. Vogel, M. Knezevic, Int. J. Plast. 120, 180 (2019) DOI URL
[7]	Y. Chen, P.L. Mao, Z. Liu, Z. Wang, G.S. Cao, Acta Metall Sin. 58, 660 (2021)
[8]	Y.S. Chen, X.M. Sun, Y.M. Ma, Z.S. Ji, Trans. Indian Inst. Met. 75, 1941 (2022) DOI URL
[9]	P.C. Guo, L.X. Li, X. Liu, W.H. Liu, S.F. Cao, G. Wang, J. Mater. Eng. Perform. 28, 3430 (2019) DOI URL
[10]	D. Wang, S.J. Liu, R.Z. Wu, S. Zhang, Y. Wang, H.J. Wu, J.H. Zhang, L. Hou, J. Alloy. Compd. 881, 160663 (2021) DOI URL
[11]	P.L. Mao, Z. Liu, C.Y. Wang, X. Jin, F. Wang, Q.Y. Guo, J. Sun, Chin. J. Nonferr. Met. 19, 38 (2009)
[12]	S. Kang, S.M. Liu, W.R. Tang, Z. Liu, P.L. Mao, F. Wang, L. Zhou, Z. Wang, Int. J. Impact. Eng. 163, 104179 (2022) DOI URL
[13]	L. Li, O. Muransky, E.A. Flores-Johnson, S. Kabra, L.M. Shen, G. Proust, Mater. Sci. Eng. A 684, 37 (2017) DOI URL
[14]	X.X. Wang, P.L. Mao, R.F. Wang, Z. Liu, Z. Wang, F. Wang, L. Zhou, Z.Q. Wei, Mater. Sci. Eng. A 772, 138814 (2020) DOI URL
[15]	N.V. Dudamell, I. Ulacia, F. Galvez, S. Yi, J. Bohlen, D. Letzig, I. Hurtado, M.T. Perez-Prado, Mater. Sci. Eng. A 532, 528 (2012)
[16]	B. Mishra, A. Mukhopadhyay, K.S. Kumar, D.V. Kumar, K.N. Jonnalagadda, M.J.N.V. Prasad, Mater. Sci. Eng. A 770, 138546 (2020) DOI URL
[17]	Y. Yang, Z. Wang, L.H. Jiang, J. Alloy. Compd. 705, 566 (2017) DOI URL
[18]	J.F. Nie, K.S. Shin, Z.R. Zeng, Metall. Mater. Trans. A 51, 6045 (2020) DOI URL
[19]	S.H. You, Y.D. Huang, K.U. Kainer, N. Hort, J. Magnes. Alloy. 5, 239 (2017) DOI URL
[20]	S.Z. Wu, Y.Q. Chi, W.C. Xie, G. Garces, X.H. Zhou, H.G. Brokmeier, S.H. Qin, X.G. Qiao, M.Y. Zheng, Mater. Sci. Eng. A 864, 143292 (2022)
[21]	J.L. Zhang, H. Liu, Y.L. Xie, G.S. Huang, X. Chen, B. Jiang, A.T. Tang, F.S. Pan, Acta Metall. Sin.—Engl. Lett. 33, 1487 (2020)
[22]	C. Paramatmuni, F.P.E. Dunne, Int. J. Plast. 135, 102775 (2020) DOI URL
[23]	X. Liu, H. Yang, B.W. Zhu, Y.Z. Wu, W.H. Liu, C.P. Tang, J. Magnes. Alloy. 10, 1096 (2022) DOI URL
[24]	J. Singh, M.S. Kim, L. Kaushik, J.H. Kang, D. Kim, E. Martin, S.H. Choi, Int. J. Plast. 127, 102637 (2020) DOI URL
[25]	X.R. Chen, Q.Y. Liao, Y.X. Niu, W.T. Jia, Q.C. Le, C.L. Cheng, F.X. Yu, J.Z. Cui, J. Mater. Res. Technol. 8, 1859 (2019) DOI URL
[26]	P.C. Guo, T. Ye, S.F. Cao, C.C. Xu, L.X. Li, Chin. Mech. Eng. 28, 739 (2017)
[27]	W.R. Tang, S.M. Liu, Z. Liu, S. Kang, P.L. Mao, H. Guo, Mater. Sci. Eng. A 780, 139208 (2020) DOI URL
[28]	F. Zhang, Z. Liu, M.M. Yang, G.Y. Su, R.F. Zhao, P.L. Mao, F. Wang, S.J. Sun, Mater. Sci. Eng. A 771, 138571 (2020) DOI URL
[29]	F. Zhang, Z. Liu, Y. Wang, P.L. Mao, X.W. Kuang, Z.L. Zhang, Y.D. Ju, X.Z. Xu, J. Magnes. Alloy. 8, 172 (2020) DOI URL
[30]	W.R. Tang, Z. Liu, S.M. Liu, L. Zhou, P.L. Mao, H. Guo, X.F. Sheng, J. Magnes. Alloy. 8, 1144 (2020) DOI URL
[31]	B.W. Zhu, X. Liu, C. Xie, W.H. Liu, C.P. Tang, L.W. Lu, J. Magnes. Alloy. 6, 180 (2018) DOI URL
[32]	P.C. Guo, X. Liu, B.W. Zhu, W.H. Liu, L.Q. Zhang, J. Magnes. Alloy. (2021). https://doi.org/10.1016/j.jma.2021.07.032 DOI
[33]	T. Ye, L.X. Li, P.C. Guo, G. Xiao, Z.M. Chen, Int. J. Impact. Eng. 90, 72 (2016) DOI URL
[34]	M.R. Barnett, Z. Keshavarz, A.G. Beer, D. Atwell, Acta Mater. 52, 5093 (2004) DOI URL
[35]	J. Jiang, A. Godfrey, W. Liu, Q. Liu, Scr. Mater. 58, 122 (2008) DOI URL
[36]	P.D. Huo, F. Li, R.Z. Wu, R.H. Gao, A.X. Zhang, Mater. Des. 219, 110696 (2022) DOI URL
[37]	G. Zhou, Y. Yang, H.Z. Zhang, F.P. Hu, X.P. Zhang, C. Wen, W.D. Xie, B. Jiang, X.D. Peng, F.S. Pan, J. Mater. Sci. Technol. 130, 186 (2022)
[38]	Y. Yang, X.M. Xiong, J. Chen, X.D. Peng, D.L. Chen, F.S. Pan, J. Magnes. Alloy. 9, 705 (2021) DOI URL
[39]	Y.X. Liu, Y.X. Li, Q.C. Zhu, H. Zhang, X.X. Qi, J.H. Wang, P.P. Jin, X.Q. Zeng, J. Magnes. Alloy. 9, 499 (2021) DOI URL
[40]	J.C. Yu, B. Song, D.B. Xia, X. Zeng, Y.D. Huang, N. Hort, P.L. Mao, Z. Liu, J. Magnes. Alloy. 8, 849 (2020) DOI URL
[41]	A. Suzuki, N.D. Saddock, J.R. Terbush, B.R. Powell, J.W. Jones, T.M. Pollock, Metall. Mater. Trans. A 39, 696 (2008) DOI URL
[42]	Shokryaa, J. Mater. Eng. Perform. 26, 5726 (2017)