Generalized nonlinear strength and general mobilized plane
-
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.
-
Key words:
- failure /
- strength of materials /
- stresses /
- soils
-
[1] Lade P V,Duncan J M.Elastoplastic stress-strain theory for cohesionless soil[J].ASCE,1975,101(10): 1037-1053 [2] Matsuoka H,Nakai T.Stress-deformation and strength characteristics of soil under three difference principal stresses [J].Proc of JSCE,1974(232): 59-70 [3] 俞茂宏,何丽南,宋凌宇.双剪应力强度理论及其推广[J].中国科学,A辑,1985,28(12): 1113-1120 Yu Maohong,He Linan,Song Lingyu.Twin shear stress strength theory and its generalization[J].Science in China,Ser A,1985,28(12): 1113－1120(in Chinese) [4] Yao Yangping,Lu Dechun,Zhou Annan,et al.Generalized non-linear strength theory and transformed stress space[J].Science in China,Ser E,Engineering & Materials Science,2004,47(6):691-709 [5] Mortara G.A new yield and failure criterion for geomaterials[J].Geotechnique,2008,58(2): 125-132 [6] Yao Yangping,Sun Dean.Application of Lade’s criterion to cam-clay model[J].Journal of Engineering Mechanics ASCE,2000,126(1):112-119 -
点击查看大图
计量
- 文章访问数: 7455
- HTML全文浏览量: 209
- PDF下载量: 987
- 被引次数: 0
下载:
