关于稳定材料屈服条件在 π 平面内的屈服曲线存在内外包络线的证明

Verification of Inner and Outer Envelopes for the Yield Curve of Stable Material in π plane

摘要: 在数学上严格证明了关于Ｍｏｈｒ－Ｃｏｕｌｏｍｂ屈服条件和广义双剪应力屈服条件在π平面内的屈服曲线分别是稳定材料屈服曲线的内、外包络线的观点，该研究成果为研究稳定材料塑性模型提供了依据。

Abstract: It is verified that the curve of Mohr-Coulomb yield criterion is an inner envelope and the curve of generalized twin shear stress yield criterion is an outer one in π plane for stable material in this paper. This verification is useful for researches on plastic model of stable material.