• CN:11-2187/TH
  • ISSN:0577-6686

›› 2001, Vol. 37 ›› Issue (4): 82-85,8.

• 论文 • 上一篇    下一篇

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金属材料的平面应力非连续分叉

张永强;俞茂宏   

  1. 西安交通大学建筑工程与力学学院
  • 发布日期:2001-04-15

DISCONTINUOUS BIFURCATIONS OF METALLIC MATERIALS FOR PLANE STRESS

Zhang Yongqiang;Yu Maohong   

  1. Xi'an Jiaotong University
  • Published:2001-04-15

摘要: 对已有弹塑性体非连续分叉结果进行了修正,使其更为合理。在此基础上,基于统一屈服准则,得出了金属材料非连续分叉的起始方位角以及相应的硬化模量的统一解析解,并且分析了不同程度的中间主应力对结果的影响。进而发现所得的结果与屈服准则的选取有关,揭示了在分叉研究中正确选取符合金属材料特性的强度准则的重要性。

关键词: 非连续分叉, 金属材料, 平面应力, 统一屈服准则, NURBS运动控制, S型加减速, 高速加工, 实时插补

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

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