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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。
Aiming at the blank of non-linear damage mechanics of non-deterministic damage theory, based on three kinds of typical fuzzy damage distributions: half-distribution, swing distribution and combined swing distribution, an initial fuzzy random damage field subject to β-distribution plane strain anisotropy is proposed. The damage vector criticality algorithm and plane strain damage effective tensor and fuzzy random effective elastic matrix are deduced. According to the visco-elastic-plastic strain rate evolution formula of damaged material, the visco-elastic-plastic fuzzy stochastic damage constitutive model under the failure criterion of Mohr-Coulomb damage was modified. Based on the damage-gain characteristics of earthwork excavation, Fuzzy random damage increment equation and its random number characteristics, a comprehensive expatiation on the unloading model of incremental equation of visco-elastic-plastic fuzzy random damage is achieved.