Accurate Analysis of Anisotropic Deformation Behavior of 5754O Aluminum Alloy Sheet under Proportional/Non-proportional Loading Paths

doi:10.3901/JME.2018.24.077

Abstract

Abstract: With the increasing demand for lightweight automobiles, the aluminum alloy sheets are becoming more and more widespread in the modern automotive industry. The 5754O aluminum alloy sheet has complex anisotropy rules in plastic forming process under different loading paths, including proportional and non-proportional loading paths. Experimental results show that the anisotropy will change with the increase of deformation. Therefore, it is difficult to describe the anisotropic behavior accurately during the whole deformation process based on single curve hypothesis. Due to this problem, Yld2000-2d yield function is modified considering the stability during the large deformation process. The stress-strain curve along different directions based on the modified yield function and single curve hypothesis. Comparing the theoretical and experimental results, shows that the modified Yld2000-2d yield function fits for the anisotropy of 5754O aluminum alloy sheet based on single curve hypothesis whereas the original Yld2000-2d does not. The unity and variation of different hardening models under proportional and non-proportional loading paths are proved respectively. Based on the modified Yld2000-2d yield function and different loading mods (isotropic and mixed hardening), the stress-strain curves under non-proportional loading paths are deduced. The resulting theoretical curves are validated with experimental results. The anisotropic deformation behaviors of 5754O aluminum alloy sheet under proportional and non-proportional loading paths are described accurately, which will provide important theoretical support for its industrial application.

Key words: aluminum alloy, anisotropy, hardening model, loading path, yield function

CLC Number:

U463

WANG Haibo, MEN Mingliang, YAN Yu, LI Qiang, WAN Min, HE Dong. Accurate Analysis of Anisotropic Deformation Behavior of 5754O Aluminum Alloy Sheet under Proportional/Non-proportional Loading Paths[J]. Journal of Mechanical Engineering, 2018, 54(24): 77-87.

References

[1] 王海波. 复杂加载路径下板料屈服强化行为及成形极限研究[D]. 北京:北京航空航天大学, 2009. WANG Haibo. Yielding and hardening behavior and forming limit for sheet metal under complex loading paths[D]. Beijing:Beihang University, 2009.
[2] PIETRYGA M P, VLADIMIROV I N, REESE S. A finite deformation model for evolving flow anisotropy with distortional hardening including experimental validation[J]. Mechanics of Materials, 2012, 44:163-173.
[3] SHI Baodong, PENG Yan, YANG Chong, et al. Loading path dependent distortional hardening of Mg alloys:Experimental investigation and constitutive modeling[J]. International Journal of Plasticity, 2017, 90:76-95.
[4] SHI Baodong, PENG Yan, PAN Fusheng. A generalized thermodynamically consistent distortional hardening model for Mg alloys[J]. International Journal of Plasticity, 2015, 74:158-174.
[5] RENTMEESTER R, NILSSON L. On mixed isotropic-distortional hardening[J]. International Journal of Mechanical Sciences, 2015, 92:259-268.
[6] BARLAT F, GRACIO J J, LEE M G, et al. An alternative to kinematic hardening in classical plasticity[J]. International Journal of Plasticity, 2011, 27(9):1309-1327.
[7] BARLAT F, LIAN K. Plastic behavior and stretchability of sheet metals. Part I:A yield function for orthotropic sheets under plane stress conditions[J]. International Journal of Plasticity, 1989, 5(1):51-66.
[8] HILL R. Constitutive modeling of orthotropic plasticity in sheet metals[J]. Journal of the Mechanics and Physics of Solids, 1990, 38(3):405-417.
[9] BARLAT F, BREM J C, YOON J W, et al. Plane stress yield function for aluminum alloy sheets-part 1:Theory[J]. International Journal of Plasticity,2003,19(9):1297-1319.
[10] WANG Haibo, WAN Min, WU Xiangdong, et al. The equivalent plastic strain-dependent Yld2000-2d yield function and the experimental verification[J]. Computational Materials Science, 2010, 47(1):12-22.
[11] KHAN A S, KAZMI R, PANDEY A, et al. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part-I:A very low work hardening aluminum alloy (Al6061-T6511)[J]. International Journal of Plasticity, 2009, 25(9):1611-1625.
[12] KHAN A S, PANDEY A, STOUGHTON T. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part Ⅱ:A very high work hardening aluminum alloy (annealed 1100 Al)[J]. International Journal of Plasticity, 2010, 26(10):1421-1431.
[13] HU Weilong. Experimental strain-hardening behaviors and associated computational models with anisotropic sheet metals[J]. Computational Materials Science, 2000, 18(3):355-361.
[14] TARIGOPULA V, HOPPERSTAD O S, LANGSETH M, et al. Elastic-plastic behavior of dual-phase, high-strength steel under strain-path changes[J]. European Journal of Mechanics, 2008, 27(5):764-782.
[15] VERMA R K, KUWABARA T, CHUNG K, et al. Experimental evaluation and constitutive modeling of non-proportional deformation for asymmetric steels[J]. International Journal of Plasticity, 2011, 27(1):82-101.
[16] WANG Haibo, LIU Yanfu, CHEN Zhengyang, et al. Investigation of the capabilities of yield functions on describing the deformation behavior of 5754O aluminum alloy sheet under combined loading paths[J]. Journal of Shanghai Jiaotong University (Science), 2016, 21(5):562-568.
[17] YOON J W, BARLAT F. Modeling and simulation of the forming of aluminum sheet alloys[M]//ASM handbook, Metalworking:Sheet Forming, 2006.
[18] 吴向东. 复杂加载路径下各向异性板料塑性变形行为的研究[D]. 北京:北京航空航天大学, 2004. WU Xiangdong. Plastic deformation for anisotropic sheet metal under complex loading paths[D]. Beijing:Beihang University, 2004.
[19] WANG Haibo, YAN Yu, WAN Min, et al. Experimental investigation and constitutive modeling for the hardening behavior of 5754O aluminum alloy sheet under two-stage loading[J]. International Journal of Solids & Structures, 2012, 49(26):3693-3710.
[20] 王海波,万敏,吴向东,等. 不同强化模型下的板料成形极限[J]. 机械工程学报, 2007, 43(8):60-65. WANG Haibo, WAN Min, WU Xiangdong, et al. Forming limit of sheet metals based on different hardening models[J]. Chinese Journal of Mechanical Engineering, 2007, 43(8):60-65.