Source codes and data files from Application of low-order potential solutions to higher-order vertical traction boundary problems in an elastic half-space.

New solutions of potential functions for the bilinear vertical traction boundary condition are derived and presented. The discretization and interpolation of higher-order tractions and the superposition of the bilinear solutions provide a method of forming approximate and continuous solutions for the equilibrium state of a homogeneous and isotropic elastic half-space subjected to arbitrary normal surface tractions. Past experimental measurements of contact pressure distributions in granular media are reviewed in conjunction with the application of the proposed solution method to analysis of elastic settlement in shallow foundations. A numerical example is presented for an empirical ‘saddle-shaped’ traction distribution at the contact interface between a rigid square footing and a supporting soil medium. Non-dimensional soil resistance is computed as the reciprocal of normalized surface displacements under this empirical traction boundary condition, and the resulting internal stresses are compared to classical solutions to uniform traction boundary conditions.

针对双线性垂直面力边界条件，本文推导并给出了其势函数的新解。通过高阶面力的离散化与插值，以及双线性解的叠加，本文提出了一种针对承受任意法向面力的均匀各向同性弹性半空间平衡状态的近似连续解构造方法。本文结合所提求解方法在浅基础弹性沉降分析中的应用，回顾了既往颗粒介质中接触压力分布的实验测量结果。针对刚性方形基础与持力土层介质接触界面处的经验‘鞍形’面力分布，本文给出了一个数值算例。在此经验面力边界条件下，将归一化表面位移的倒数作为无量纲土体抗力进行计算，并将所得内部应力与均一面力边界条件下的经典解进行了对比。