岩土工程非线性模糊随机损伤

针对非确定损伤理论在非线性损伤力学研究中的空白,基于3种典型模糊损伤分布:降半分布、秋千分布和组合秋千分布,提出了服从β分布平面应变各向异性初始模糊随机损伤场,推演了损伤矢量临界值算法及平面应变损伤有效张量和模糊随机有效弹性矩阵族.由损伤材料粘-弹-塑性应变率演化通式,修正了Mohr-Coulomb损伤破坏准则下粘-弹...

Non linear fuzzy stochastic damage field geo structure mechanical performance

To perfect non linear damage mechanics with uncertain damage theory, anisotropic initial fuzzy stochastic damage field submitted to β probabilistic distribution was deduced on the basis of three typical fuzzy damage distribution models, namely, half depressed distribution, swing distribution, and combined swing distribution. Furthermore, critical damage vector algorithm was established, based on which the damage effective tensor and the fuzzy stochastic effective elastic matrixes group were formulated under plane strain state. Viscous elasto plasto fuzzy stochastic damage constitution model based on the modified damage Mohr Coulomb failure criterion was deduced associated with general normal function of viscous elasto plasto strain ratio evolution of damaged material. Fuzzy stochastic damage increment function as well as its random characteristics were formulated on the basis of fuzzy attenuation algorithm model in terms of damage gain characteristics of earthwork excavation. The general expression on the unloading model of the viscous elasto plasto fuzzy stochastic damage increment function　was realized.