The shape and position of yield surface have a direct influence on the determination of plastic deformation of materials. Considering that slip is the main plastic deformation mechanism, the extension of single crystal plasticity called slip-component model is introduced, and the evolution of subsequent yield surfaces in stress space and strain space is investigated. The method to determine the yield surfaces in stress space and strain space is proposed. A combined kinematic-distortional hardening model is developed to describe the translation and distortion of subsequent yield surfaces in stress space and strain space. Numerical simulations of the evolution of subsequent yield surfaces in (σ11 -σ12) stress space and (ε11 -γ12) strain space are performed under pure torsion and combined tension- torsion loading for aluminum 1100- O. The results show that the agreement between the predictions and experiments is quite satisfactory. The work demonstrated that whether in stress space or strain space, based on the latent hardening and Bauschinger effect of the slip component, the subsequent yield surface can be described that the forward part inflates and the rear part deflates so that the subsequent yield surface has a sharp front and a blunt rear.
FU Qiang
,
LIU Fang
,
CHEN Cen
. Research on the Evolution of Subsequent Yield Surfaces in Stress Space and Strain Space[J]. Science & Technology Review, 2014
, 32(7)
: 33
-38
.
DOI: 10.3981/j.issn.1000-7857.2014.07.004
[1] 张泽华, 吕桂英. 塑性本构关系的实验研究[C]//塑性力学进展. 北京: 中国铁道出版社, 1988: 144-178. Zhang Zehua, Lü Guiying. The experimental study of plastic constitutive relations[C]//The advances in Plasticity. Beijing: China Railway Publishing House, 1988: 144-178.
[2] Wu H C, Yeh W C. On the experimental determination of yield surfaces and some results of annealed 304 stainless steel[J]. International Journal of Plasticity, 1991, 7(8): 803-826.
[3] 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.
[4] 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.
[5] Khan A S, Pandey A, Stoughton T. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part III: Yield surface in tension–tension stress space (Al 6061–T 6511 and annealed 1100 Al)[J]. International Journal of Plasticity, 2010, 26(10): 1432-1441.
[6] Francois M. A plasticity model with yield surface distortion for non proportional loading[J]. International Journal of Plasticity, 2001, 17(5): 703-717.
[7] Chiang D Y, Su K H, Liao C H. A study on subsequent yield surface based on the distributed- element model[J]. International Journal of Plasticity, 2002, 18(1): 51-70.
[8] Wu H C. Effect of loading-path on the evolution of yield surface for anisotropic metals subjected to large pre-strain[J]. International Journal of Plasticity, 2003, 19(10): 1773-1800.
[9] Yeh W C, Lin H Y. An endochronic model of yield surface accounting for deformation induced anisotropy[J]. International Journal of Plasticity, 2006, 22(1): 16-38.
[10] Suprun A N. A constitutive model with three plastic constants: The description of anisotropic workhardening[J]. International Journal of Plasticity, 2006, 22(7): 1217-1233.
[11] 付强, 刘芳, 张晶, 等. 一种基于物理机制的后继屈服面演化模型[J]. 力学学报, 2010, 42(5): 880-888. Fu Qiang, Liu Fang, Zhang Jing, et al. A physically motivated model for the evolution of subsequent yield surfaces[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(5): 880-888.
[12] Naghdi P M, Trapp J A. The significance of formulating plasticity theory with reference to loading surfaces in strain space[J]. International Journal of Engineering Science, 1975, 13(9–10): 785- 797.
[13] Casey J, Naghdi P M. A prescription for the identification of finite plastic strain[J]. International Journal of Engineering Science, 1992, 30: 1257-1278.
[14] Brown A A, Casey J, Nikkel D J. Experiments conducted in the context of the strain-space formulation of plasticity[J]. International Journal of Plasticity, 2003, 19(11): 1965-2005.
