水平集中荷载作用下两层弹性半空间的基本解

Basic Solution of Two-layer Elastic Half Space Subjected to Horizontal Concentrated Loading

将 Muki提出的半无限弹性体作用一水平荷载时的基本解应用于每一层 ,根据两层弹性半空间模型的自由边界条件和各层之间的位移和应力连续条件 ,利用 Hankel变换推导出水平集中荷载作用下两层弹性半空间的基本解 ,得到了内部任意一点的位移场和应力场 ,从而为研究层状地基中水平受荷的单桩和群桩的工作性态提供了有力的工具 .文中给出了数值计算实例 ,并将其与Mindlin解以及 Davies &Banerjee的计算结果进行了比较 .

According to the basic solution of semi infinite elasticity subjected to horizontal loading presented by Muki, boundary conditions and continuous conditions between layers, the basic solution for two layer elastic half space was derived. The displacement and stress of arbitrary point within the elasticity were also inferred. Thus, exact working property of laterally loaded piles will be obtained by applying these solutions. Several numerical examples were given. The results are well coincident with Mindlin's solution and Davies & Banerjee's computing results.