Effect of nonlinear strain paths on forming limits under isotropic and anisotropic hardening

被引:33
|
作者
He, Ji [1 ,2 ]
Zeng, Danielle [3 ]
Zhu, Xinhai [4 ]
Xia, Z. Cedric [3 ]
Li, Shuhui [1 ,2 ]
机构
[1] State Key Lab Mech Syst & Vibrat, Shanghai 200240, Peoples R China
[2] Shanghai Iie Tong Univ, Shanghai Key Lab Digital Manufacture Thin Walled, Shanghai 200240, Peoples R China
[3] Ford Motor Co, Dearborn, MI 48121 USA
[4] Livermore Software Technol Corp, Livermore, CA USA
基金
中国国家自然科学基金;
关键词
Constitutive behavior; Marciniak-Kuczynski analysis; Stability and bifurcation; Forming Limit Diagram; SUBSEQUENT YIELD SURFACE; DIAGRAMS; STRESSES; PREDICTION; CRITERION; BEHAVIOR; SHEETS; TUBE;
D O I
10.1016/j.ijsolstr.2013.10.013
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The path-dependence of the conventional Forming Limit Diagram (FLD) is an important issue for its applications in industry. Great efforts have been made to understand the nature of the path-dependence with both experimental and theoretical approaches, many of them attempting to find a path-independent way for the application of forming limits. In this paper, we focus on the nonlinear strain path effect on forming limit predictions using both isotropic and anisotropic hardening models. The Forming Limit Diagram (FLD), Forming Limit Stress Diagram (FLSD) and Forming Limit Effective Strain Diagram (epFLD) of sheet metals subject to linear and nonlinear strain paths are analyzed and compared using the Marciniak-Kuczynski approach. An anisotropic hardening model based on Yoshida and Uemori development is adopted in this study, and it is coupled with the traditional Hill'48 yield surface. This model is capable of describing the complex Bauschinger phenomenon after the material undergoes the reverse loading process such as the early re-yielding, work-hardening stagnation and permanent softening. Two different scenarios for the change of strain paths are also investigated. In the first scenario, the sheet material is initially loaded with a fixed strain increment ratio, unloaded to the free stress state, and then reloaded with a different strain increment ratio until the forming limit is reached. In the second scenario, the material does not undergo elastic unloading. Instead, the strain path is abruptly changed to a different strain increment ratio and the material undergoes continuous loading until the forming limit is reached. It is found that the work-hardening behavior after the pre-straining and the loading scenario plays an important role in the path dependent behavior of forming limits. Detailed analysis reveals that the M-K approach may have contributed to the significance of path-dependence observed in this study, especially at high pre-strain levels. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:402 / 415
页数:14
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