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基于极限平衡理论,视墙后填土为服从Mohr-Coulomb屈服准则的理想弹塑性材料,并且假定它是各向同性的、均匀的以及不可压缩(膨胀)的理想连续介质。引进了应力奇点及其应力边界条件,建立了静定可解的极限平衡边值问题数学模型,而不必考虑土的应力–应变关系,采用滑移线法求解了墙后塑性区的滑移线场和应力场,进而求解了挡土墙被动土压力和滑裂面土反力。通过无量纲分析,提出了几何力学相似原理。数值分析表明,被动土压力的滑移线解一般总是小于或等于库仑解,经典朗肯土压力或满足非奇异条件的经典库仑土压力与滑移线解一致,Hencky第一定理和第二定理不具有普遍适用性。
Based on the theory of limit equilibrium, wall-backfill is an ideal elastoplastic material that follows the Mohr-Coulomb yield criterion and is assumed to be isotropic, homogeneous and incompressible (swell) ideal continuous media. The stress singularity and its stress boundary conditions are introduced, and the mathematically stable limitless equilibrium boundary value problem mathematical model is established without considering the stress-strain relationship of soil. The slip line method is used to solve the problem of the slippage Line field and stress field, and then solved the passive earth pressure of retaining wall and soil reaction force of slip surface. Through dimensionless analysis, the principle of similarity of geometrical mechanics is proposed. The numerical analysis shows that the slip solution of passive earth pressure is always always less than or equal to Coulomb’s solution. The classical Rankun earth pressure or the classical Coulomb earth pressure satisfying non-singular conditions is consistent with the slip line solution. The Hencky first theorem and The second theorem does not have universal applicability.