北京航空航天大学学报 ›› 2011, Vol. 37 ›› Issue (1): 101-105.

• 论文 • 上一篇    下一篇

广义非线性强度与广义滑动面

王乃东, 姚仰平   

  1. 北京航空航天大学 交通科学与工程学院, 北京 100191
  • 收稿日期:2009-11-10 出版日期:2011-01-31 发布日期:2011-01-28
  • 作者简介:王乃东(1981-),男,山东章丘人,博士生,wangnd@buaa.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(50879001, 10872016, 90815024)

Generalized nonlinear strength and general mobilized plane

Wang Naidong, Yao Yangping   

  1. School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2009-11-10 Online:2011-01-31 Published:2011-01-28

摘要: 广义Mises准则满足八面体面上的剪应力和正应力之比为常数,SMP(Spatially Mobilized Plane)准则满足空间滑动面上的剪应力和正应力之比为常数,那么对于包含或逼近现有非线性强度准则的广义非线性强度,在物理空间中应存在一平面,且满足该平面上的剪应力和正应力之比为常数.为此,提出了介于八面体面和空间滑动面之间的广义滑动面,与广义非线性强度相对应,广义滑动面上的剪应力与正应力之比为常数,并给出了广义滑动面上应力比的表达式,及主应力空间中的强度面形状.通过深入分析和对比,表明了广义非线性强度和广义滑动面在材料强度描述上的一致性.

Abstract: Corresponding to the extended Mises criterion, the stress ratio of the shear stress to the normal stress on the octahedral plane is a constant. Corresponding to the spatially mobilized plane (SMP)criterion, the stress ratio on the SMP is a constant. The generalized nonlinear strength theory (GNST) covers most of nonlinear failure criteria. Corresponding to the GNST, there should be a plane in the physical space on which the stress ratio is a constant.The conception of general mobilized planes (GMP)was proposed, which are between the octahedral plane and the SMP. The stress ratio on the GMP is a constant corresponding to the GNST. The expression of the stress ratio on the GMP and the failure surface in the principal stress space were also given. It can be concluded from the detailed analysis and comparison that the GMP consists with the GNST for describing the failure of materials.

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