Mindlin应力解的应用理论研究  

ON MINDLIN STRESS FORMULAS

作　　者：王士杰[1] 张梅[1] 张吉占[1] 

机构地区：[1]河北农业大学城乡建设学院,保定071001

出　　处：《工程力学》2001年第6期141-148,共8页Engineering Mechanics

摘　　要：通过对已有繁杂、冗长的明氏应力公式的整理与简化,给出了若干种工程荷载分布条件下的明氏应力分布实用理论解。经对附加应力系数公式的无因次化,推出了工程荷载条件下便于制作数据表格的应力系数计算公式,将该系数表达为长—宽比、计算点深度—基宽比、基础埋深—基宽(半径)比和泊松比的函数解析式。作者通过对明氏解计算结果的分析,深入细致地研究了布氏解取代明氏解的条件,明氏应力分布的拉应力区开展范围及其与工程的关系,明氏解中反映地基土质条件的泊松比对应力计算的影响,布氏解用于深基沉降计算导致理论计算值大于实际沉降观测值的原因等一系列问题。得到了一些有指导意义的概念和认识。对明氏解的推广应用具有重要的理论意义和长远的实用价值。In this paper, the complicated lengthy Mindlin stress formulas are rearranged and simplified, new formulas of the Mindlin stress distributions under various load conditions are presented. By making the additional stress coefficients dimensionless, the stress coefficient formulas under some loading conditions are derived. These coefficients are expressed in terms of the ratio of foundation length to its width, the ratio of depth to foundation width, the ratio of foundations embedded depth to its width (or radius), and the Poissons ratio. The prerequisites when the Mindlins formula can be replaced by the Boussinesqs formula, the scope of the tensile stress of the Mindlin solution and its effect on the foundation settlement, the effect of the Poissons ratio in the Mindlins formula on the stresses, the discrepancy between the theoretical prediction of settlement results and on-site observation value are discussed in detail.

关 键 词：MINDLIN应力解 布氏解 沉降 竖向附加应力 应力系数 泊松比 拉应力 深基础 

分 类 号：TU473.2[建筑科学—结构工程] O343.4[建筑科学—土工工程]