摘要
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-塑性模糊随机损伤本构模型,就土方开挖损伤增益特征,构造了基于模糊衰减模型的模糊随机损伤增量方程及其随机数字特征,实现了对粘-弹-塑性模糊随机损伤增量方程卸载模型的全面阐述。
To perfect non-linear damage mechanics with uncertain damage theory, anisotropic initial fuzzy- stochastic damage field submitted to β-probabitistic 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 viscouselasto-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.
出处
《解放军理工大学学报（自然科学版）》
EI
北大核心
2011年第3期251-257,共7页
Journal of PLA University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(50379046)
教育部博士点基金资助项目(A50221)
关键词
各向异性
模糊随机损伤
模糊衰减模型
卸载模型
anisotropy
fuzzy-stochastic damage
fuzzy attenuation algorithm model
unloading model
