Abstract
Combined shear-compression tests were conducted on AZ31B Mg alloy through inclined specimens. Digital image correlation (DIC) was used to analyze the deformation and strain field of inclined specimens. Results show that the strain field of inclined specimen is no longer uniform. The loading angle only affects the distribution of shear strain and almost has no effect on the normal strain components. Additionally, the strain path also can be controlled by the loading angle. The inclined specimen with a larger loading angle can be regarded as the proportional loading while the strain path is non-proportional for the specimen with a smaller loading angle. The inclined specimen (20 degree) leads to a larger shear-compression ratio of 0.391, while the ratio becomes 0.304 as the loading angle decreases to 15 degree. The shear-compression ratio in stress components equals to \(\sin \theta \cos \theta\) based on the analysis on deformation mode of inclined specimen. Based on stress analysis, the experimental yield surface is obtained and found coincides with theoretical asymmetric function.
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References
Huang Y, Dieringa H, Kainer KU, Hort N (2013) Effects of Sn segregation and precipitates on creep response of Mg-Sn alloys. Fatigue Fract Eng Mater Struct 36(4):308–315
Lv L, Lin H, Jin T (2021) Investigation on the indentation strain rate sensitivity of aged PMMA. Vacuum 185:110026
Noh W, Koh Y, Seok D-Y, Wagoner RH, Barlat F, Chung K (2014) Mechanical property of magnesium alloy sheet with hardening deterioration at warm temperatures and its application for failure analysis: Part I - property characterization. IntJ Mater Form 9(3):277–285
Rong J, Zhu J-N, Xiao W, Zhao X, Ma C (2021) A high pressure die cast magnesium alloy with superior thermal conductivity and high strength. Intermetallics 139:107350
Jeong Y, Steglich D (2020) Modelling-assisted description of anisotropic edge failure in magnesium sheet alloy under mixed-mode loading. Int J Mech Sci 181:105680
Wang Q, Bertolini R, Bruschi S, Ghiotti A (2019) Anisotropic fracture behavior of AZ31 magnesium alloy sheets as a function of the stress state and temperature. Int J Mech Sci 163:105146
Zhang X, Li S, Guo X, Wang H, Yu Q, Wu P (2021) Effects of texture and twinning on the torsional behavior of magnesium alloy solid rod: A crystal plasticity approach in comparison with uniaxial tension/compression. Int J Mech Sci 191:106062
Beggs PD, Song W, Easton M (2010) Failure modes during uniaxial deformation of magnesium alloy AZ31B tubes. Int J Mech Sci 52(12):1634–1645
Chang Q-F, Li D-Y, Peng Y-H, Zeng X-Q (2007) Experimental and numerical study of warm deep drawing of AZ31 magnesium alloy sheet. Int J Mach Tools Manuf 47(3–4):436–443
Mei R-B, Bao L, Huang F, Zhang X, Qi X-W, Liu X-H (2018) Simulation of the flow behavior of AZ91 magnesium alloys at high deformation temperatures using a piecewise function of constitutive equations. Mech Mater 125:110–120
Srinivasan A, Ningshen S, KamachiMudali U, Pillai UTS, Pai BC (2007) Influence of Si and Sb additions on the corrosion behavior of AZ91 magnesium alloy. Intermetallics 15(12):1511–1517
Zhang Q, Zhang Y, Sun Y, Zheng D (2020) Warm forming simulations of Al-Mg alloy sheet using a viscoplastic model and advanced yield functions. IntJ Mater Form 14(3):449–465
Mirzadeh H (2014) Constitutive analysis of Mg–Al–Zn magnesium alloys during hot deformation. Mech Mater 77:80–85
Nazeer F, Hassan Naqvi SZ, Kalam A, Al-Sehemi AG, Alrobei H (2021) Texture dependencies on flow stress behavior of magnesium alloy under dynamic compressive loading. Vacuum 191:110323
Zhou X, Wang J, Jing L (2022) Coupling effects of strain rate and fatigue damage on wheel-rail rolling contact behaviour: a dynamic finite element simulation. Int J Rail Transp 11:1–22
Jin T, Zhou Z, Qiu J, Wang Z, Zhao D, Shu X, Yan S (2018) Investigation on the yield behavior of AZ91 magnesium alloy. J Alloy Compd 738:79–88
Jing L, Su X, Yang F, Ma H, Zhao L (2018) Compressive strain rate dependence and constitutive modeling of closed-cell aluminum foams with various relative densities. J Mater Sci 53(20):14739–14757
Jing L, Su X, Zhao L (2017) The dynamic compressive behavior and constitutive modeling of D1 railway wheel steel over a wide range of strain rates and temperatures. Results Phys 7:1452–1461
Jin T, Zhou Z, Shu X, Wang Z, Wu G, Liu Z (2015) Effects of strain rate on PMMA failure behavior. Appl Phys A 122(1):7
Su X, Zhou L, Jing L, Wang H (2020) Experimental investigation and constitutive description of railway wheel/rail steels under medium-strain-rate tensile loading. J Mater Eng Perform 29(3):2015–2025
Mirzadeh H (2018) Developing constitutive equations of flow stress for hot deformation of AZ31 magnesium alloy under compression, torsion, and tension. IntJ Mater Form 12(4):643–648
Qiu J, Jin T, Su B, Duan Q, Shu X, Liu E, Li X (2019) A criterion describing the dynamic yield behavior of PMMA. Macromol Res 27(8):750–755
Chen SH, Chan KC, Xia L (2013) Deformation behavior of a Zr-based bulk metallic glass under a complex stress state. Intermetallics 43:38–44
Jin T, Zhou Z, Shu X, Wang Z, Wu G, Zhao L (2016) Experimental investigation on the yield loci of PA66. Polym Testing 51:148–150
Kaya S, Altan T, Groche P, Klöpsch C (2008) Determination of the flow stress of magnesium AZ31-O sheet at elevated temperatures using the hydraulic bulge test. Int J Mach Tools Manuf 48(5):550–557
Lin H, Jin T, Lv L, Ai Q (2019) Indentation size effect in pressure-sensitive polymer based on a criterion for description of yield differential effects and shear transformation-mediated plasticity. Polymers (Basel) 11(3):412
Liu X, Wang T, Wang Q, Song X, Liang Y, Feng S, Yang F, Chen X, Kong J (2022) Shear band evolution related with thermal annealing revealing ductile-brittle transition of Zr35Ti30Be27.5Cu7.5 metallic glass under complex stress state. Intermetallics 140:107378
Wang H, Wu PD, Lee SY, Wang J, Neale KW (2015) Numerical study of the effects of shear deformation and superimposed hydrostatic pressure on the formability of AZ31B sheet at room temperature. Int J Mech Sci 92:70–79
Zhou Z, Ma W, Zhang S, Du H, Mu Y, Li G (2016) Multiaxial creep of frozen loess. Mech Mater 95:172–191
Zhou Z, Li G, Shen M, Wang Q (2022) Dynamic responses of frozen subgrade soil exposed to freeze-thaw cycles. Soil Dyn Earthq Eng 152:107010
Jing L, Liu K, Su X, Guo X (2021) Experimental and numerical study of square sandwich panels with layered-gradient foam cores to air-blast loading. Thin-Walled Struct 161:107445
Jin T, Zhou Z, Shu X, Wang Z, Wu G, Zhao L (2018) Investigation on the yield behaviour and macroscopic phenomenological constitutive law of PA66. Polym Testing 69:563–582
Fu J, Xie W, Zhou J, Qi L (2020) A method for the simultaneous identification of anisotropic yield and hardening constitutive parameters for sheet metal forming. Int J Mech Sci 181:105756
Ravaji B, Datta S, Foster C, Lloyd JT, Wilkerson JW, Joshi SP (2021) Texture effects and rate-dependent behaviors of notched magnesium bars. Mech Mater 162:105756
Wang Z, Qiu J, Shu X, Jin T (2020) Experimental study on the fracture behavior of AZ91D magnesium alloy under complex loading. Results Phys 16:102917
Jin T, Zhou Z, Wang Z, Wu G, Liu Z, Shu X (2015) Quasi-static failure behaviour of PMMA under combined shear–compression loading. Polym Test 42:181–184
Nie X, Chen WW, Sun X, Templeton DW (2007) Dynamic failure of borosilicate glass under compression/shear loading experiments. J Am Ceram Soc 90(8):2556–2562
Zhang J, Jin T, Wang Z, Zhao L (2016) Experimental investigation on yield behavior of PMMA under combined shear–compression loading. Results in Physics 6:265–269
Yang B, Dong Y, Guo D, Yang C, Zhang X, Peng Y, Wu L, Shi B (2019) Anisotropic mechanical behavior and corresponding microstructure evolution of extruded AZ31 under combined normal/shear stress states. Mater Sci Eng, A 760:415–425
Yang C, Shi B, Peng Y, Pan F (2018) Transition from convex to concave of equal plastic work contours for wrought magnesium alloy under multi-axial loading. Int J Solids Struct 150:117–124
Steglich D, Besson J (2021) Prediction of deformation and failure anisotropy for thin magnesium sheets under mixed-mode loading. Mech Mater 163:104064
Li L, Fang H, Zhao D, Li X, Jin T (2022) Deformation and failure responses of TRIP590 advanced high strength steel under combined shear-tension at different loading rates. Vacuum 202:111166
Lv L, Shao LD, Lin H, Jin T (2022) Deformation and mechanical responses of AZ31B magnesium alloy under combined shear-compression loading conditions. Mater Today Commun 31:103551
Nagarajan S, Prakash R (2018) A new patterning method for microstructural strain mapping of Al-5754 alloy using image correlation. Exp Tech 42(4):453–458
Gorji M, Berisha B, Hora P, Barlat F (2015) Modeling of localization and fracture phenomena in strain and stress space for sheet metal forming. IntJ Mater Form 9(5):573–584
Cazacu O (2004) A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int J Plast 20(11):2027–2045
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant No. 11802199), Hui Lin would like to acknowledge Shaoxing science and technology project (Grant No. 2018C10005) and University-enterprise cooperation Project of Visiting Engineering of Universities, China (Grant No. FG2021035), Tao Jin is grateful to the support from the Open Fund of State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'An Jiaotong University (SV2019-KF-15). The financial contributions are gratefully acknowledged.
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Shao, L., Jin, T., Lv, L. et al. Combined Shear-Compression Responses of AZ31B Magnesium Alloy Based on Inclined Specimens. Exp Tech 47, 871–883 (2023). https://doi.org/10.1007/s40799-022-00600-6
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DOI: https://doi.org/10.1007/s40799-022-00600-6