屈服条件由应力张量的二次齐次函数与一次齐次函数之和来表达的极限分析定理

本文建立了由应力张量σ_ij的二次齐次函数与一次齐次函数的和来表达其屈服条件的刚理想塑性体的极限分析变分原理,它可用于岩土力学的极限分析问题,并把屈服条件为应力张量σ_ij 的二次齐次函数或一次齐次函数来表达的情况作为其特例.     

THEOREMS ON THE LIMIT ANALYSIS DEALING WITH THE YIELD CONDITION EXPRESSED BY THE SUM OF THE HOMOGENEOUS LINEAR FORM OF STRESS TENSOR AND THE HOMCGENEOUS QUADRATIC FORM OF STRESS TENSOR

In this paper a generelized variational principle on the limitanalysis dealing With the yield condition expressed by thesum of the homogeneous linear form of stress tensor and thehomogeneous quadratic form of stress tensor is suggested.Thisvariational principle can be applied to the limit analgsis inrock mechanics and it takes the situation.in which the yieldcondition is expressed by the homogeneous linear form of stresstensor or the homogeneous quadrdtic form of stress tensor.asits special case.