DISCONTINUOUS BIFURCATIONS OF METALLIC MATERIALS FOR PLANE STRESS

Abstract

Abstract: Theory proposed before on the properties of discontinuous bifurcation in elastic-plastic materials is improved. Based on the new result, the unified initial direction of discontinuous bifurcations and the corresponding maximal value of the hardening modulus of the metallic materials for plane stress are obtained in regard to the unified yield criterion proposed by Yu in 1991 and 1992. The unified solutions take account of the inlluence of the intermediate principal stress on the properties of bifurcations. On the other band, the dependence of the result of the bifurcation analysis on the adopted yield criterion is found.

Key words: Discontinuous bifurcations, Metallic material, Plane stress, Unified yield criterion, High-speed machining, Real-time interpolation, NURBS-Motion control, S-Type acceleration and deceleration

CLC Number:

TG113.25

Zhang Yongqiang;Yu Maohong. DISCONTINUOUS BIFURCATIONS OF METALLIC MATERIALS FOR PLANE STRESS[J]. , 2001, 37(4): 82-85，8.

[1]	WANG Shuancheng, YANG Bing, LIAO Zhen, XIAO Shoune, KANG Guozheng, YANG Guangwu, ZHU Tao. Research on Short Fatigue Crack Initiation and Propagation of Metallic Materials:A Review [J]. Journal of Mechanical Engineering, 2023, 59(16): 32-53.
[2]	WU Yonghong, LI Yongtang, QI Huiping, FU Jianhua. High Temperature Mechanical Properties and Calculation of Critical Strain for 42CrMo Ring Blank Based on Casting-rolling Forming [J]. Journal of Mechanical Engineering, 2017, 53(6): 45-52.
[3]	LIU Xianli, ZHOU Xiaoyang, LI Maoyue, DING Yunpeng, DING Wenbin. The Real-time Algorithm of NURBS Curve Retriever Interpolation with S-type Acceleration and Deceleration Control [J]. Journal of Mechanical Engineering, 2017, 53(3): 183-192.
[4]	ZHANG Xiangyu, SUI He, ZHANG Deyuan, JIANG Xinggang, WU Ruibiao. Feasibility Study of High-speed Ultrasonic Vibration Cutting Titanium Alloy [J]. Journal of Mechanical Engineering, 2017, 53(19): 120-127.
[5]	GAO Ka, GUO Xiaoqin, ZHANG Rui. Study on Rapid Solidification Microstructure and Electrical Property of Co-Cu-Pb Ternary Alloy [J]. Journal of Mechanical Engineering, 2017, 53(18): 99-105.
[6]	YANG Liangliang, XU Shoujin, SHI Weimin, GE Hongwei. Research on S Type Acceleration and Deceleration Time Planning Algorithm with Beginning and End Speed Non-zero [J]. Journal of Mechanical Engineering, 2016, 52(23): 199-206.
[7]	PAN Haihong, YANG Zengqi, CHEN Lin, DONG Haitao, HUANG Bingqiong, TAN Huaqing. An Adaptive Look-ahead Control Algorithm Using Optimized Transition Velocity between Two Trajectory Segments [J]. Journal of Mechanical Engineering, 2015, 51(5): 151-159.
[8]	CHEN Tao, LIU Xianli, LI Suyan, LI Kai, LIU Tao. Mechanism of White Layer Formation on Machined Surface of High-speed Hard Machining [J]. Journal of Mechanical Engineering, 2015, 51(23): 182-188.
[9]	LUO Fuyuan;YOU Youpeng;YIN Juan. Research on the Algorithm of NURBS Curve Bidirectional Optimization Interpolation with S-type Acceleration and Deceleration Control [J]. , 2012, 48(5): 147-156.
[10]	JIA Bin;LI Jialei;PANG Baojun;WANG Zhenqing. Elastic-viscoplastic Analysis of the Tip Field of a Mode I Quasi-static Propagating Crack under Plane Stress Condition [J]. , 2011, 47(8): 99-103.
[11]	SUN Yue;LIN Hu;LI Jianwei. Spline Real-time Interpolation Algorithm for High-speed Machining [J]. , 2011, 47(3): 186-192.
[12]	LI Weimin;QIU Ping;LUO Junting. Displacement Solution of Axisymmetrical Plane Stress Problem in Plastic State [J]. , 2011, 47(24): 69-73.
[13]	YAN Xiaolei;ZHONG Zhihua;ZHA Yunfei;MO Xuhui;SUN Guangyong. Optimum Design of Flywheel Rotor Made of Functionally Graded Materials [J]. , 2011, 47(2): 72-79.
[14]	DENG Zhaohui;LIU Zhanqiang;ZHANG Xiaohong. Research of the Science and Technology Development in High-speed and Efficient Processing Field [J]. , 2010, 46(23): 106-120.
[15]	LI Yuanyuan;DAN Yong;CAI Ruixian. Axisymmetrical 2-D Analytical Solutions of Ideal Plasticity [J]. , 2009, 45(7): 270-273.

DISCONTINUOUS BIFURCATIONS OF METALLIC MATERIALS FOR PLANE STRESS

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments