Non-probabilistic convex model theory to obtain failure shear stress of simulated lunar soil under interval uncertainties

摘要: Abstract The properties of the simulated lunar soil, which are great importance to guide investigation on due rarity and preciousness extremely complex such that their precise probability distributions hard obtain but bounds easy gain. In this study, an innovative non-random analysis method is developed capture ultimate soil shear stress based non-probabilistic convex model Mohr–Coulomb failure criterion. Specifically, we extend traditional criterion, usually in deterministic case, uncertain case by using a symmetrical positive definite matrix characterize correlation parameters related parameters. To upper lower problem calculating converted into two optimization problems, solved Lagrangian method. Considering whether time involved or not uncertainties parameters, both time-invariant time-variant interval problems can be tackled proposed effectiveness accuracy evidenced numerical examples data retrieved from experimental results exactly between bounds. It indicates provide important guidance for design sampling mechanisms.