Abstract
The combined loading tests of 5754O aluminum alloy sheet are used to verify the yield function. Three yield functions are implemented into the commercial finite element model (FEM) code ABAQUS as a user material subroutine UMAT for the FEM simulation of the combined loading tests. The comparison of the simulating and experimental results shows that the modified Yld2000-2d yield function can describe the mechanical behavior of 5754O aluminum alloy sheet under combined loading paths reasonably while other three yield functions do not. The performance of the modified Yld2000-2d yield function on describing the mechanical behavior under combined loading paths is analyzed in detail. It is concluded that the modified Yld2000-2d yield function can be adopted to describe the deformation behavior of 5754O aluminum alloy sheet for industrial applications.
Similar content being viewed by others
References
WANG H B, WAN M. Forming limit of sheet metals based on mixed hardening model [J]. Science in China Series E: Technological Sciences, 2009, 52(5): 1202–1211.
YOSHIDA F, UEMORI T, FUJIWARA K. Elasticplastic behavior of steel sheets under in-plane cyclic tension-compression at large strains [J]. International Journal of Plasticity, 2002, 18(5/6): 633–659.
LEE M G, KIM D, KIM C, et al. A practical twosurface plasticity model and its application to springback prediction [J]. International Journal of Plasticity, 2007, 23(7): 1189–1212.
CAO J, LEE W, CHENG H S, et al. Experimental and numerical investigation of combined isotropickinematic hardening behavior of sheet metals [J]. International Journal of Plasticity, 2009, 25(5): 942–972.
CHUN B K, JINN J T, LEE J K. Modeling the Bauschinger effect for sheet metals. Part I. Theory [J]. International Journal of Plasticity, 2002, 18(5/6): 571–595.
BOGER R K, WAGONER R H, BARLAT F, et al. Continuous, large strain, tension/compression testing of sheet material [J]. International Journal of Plasticity, 2005, 21(12): 2319–2343.
BARLAT F, FERREIRA DUARTE J M, GRACIO J J, et al. Plastic flow for non-monotonic loading conditions of an aluminum alloy sheet sample [J]. International Journal of Plasticity, 2003, 19(8): 1215–1244.
KIM K H, YIN J J. Evolution of anisotropy under plane stress [J]. Journal of the Mechanics and Physics of Solids, 1997, 45(5): 841–851.
MANNINEN T, MYLLYKOSKI P, TAULAVUORI T, et al. Large-strain Bauschinger effect in austenitic strainless steel sheet [J]. Materials Science and Engineering A, 2009, 499(1/2): 333–336.
TARIGOPULA V, HOPPERSTAD O S, LANGSETH M, et al. Elastic-plastic behaviour of dual-phase, highstrength steel under strain-path changes [J]. European Journal of Mechanics A/Solids, 2008, 27(5): 764–782.
TARIGOPULA V, HOPPERSTAD O S, LANGSETH M, et al. An evaluation of a combined isotropickinematic hardening model for representation of complex strain-path changes in dual-phase steel [J]. European Journal of Mechanics A/Solids, 2009, 28(4): 792–805.
WANG H B. Yielding and hardening behavior and forming limit for sheet metal under complex loading paths [D]. Beijing: School of Mechanical Engineering and Automation, Beihang University, 2009.
WANG H B, WAN M, YAN Y, 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 and Structures, 2012, 49(26): 3693–3710.
BARLAT F, GRACIAO 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.
BARLAT F, LIAN J. Plastic behavior and stretch ability of sheet metals. Part I. A yield function for orthotropic sheet under plane stress conditions [J]. International Journal of Plasticity, 1989, 5(1): 51–66.
HILL R. Constitutive modeling of orthotropic plasticity in sheet metals [J]. Journal of the Mechanics and Physics of Solids, 1990, 38(3): 405–417.
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.
WANG H B, WAN M, WU X D, et al. The equivalent plastic strain-dependent Yld2000-2d yield function and the experimental verification [J]. Computational Materials Science, 2009, 47(1): 12–22.
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (No. 51475003), the Beijing Municipal Natural Science Foundation of China (No. 3152010), and the Beijing Municipal Education Committee Science and Technology Program (No. KM201510009004)
Rights and permissions
About this article
Cite this article
Wang, H., Liu, Y., Chen, Z. et al. Investigation of the capabilities of yield functions on describing the deformation behavior of 5754O aluminum alloy sheet under combined loading paths. J. Shanghai Jiaotong Univ. (Sci.) 21, 562–568 (2016). https://doi.org/10.1007/s12204-016-1763-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-016-1763-7