弹性参数任意变化的非均匀土层的二维受力分析  

STRESS ANALYSIS OF A TWO DIMENSIONAL INHOMOGENEOUS SOIL LAYER WITH ARBITRARILY VARYING ELASTIC PROPERTIES

作　　者：王冬梅[1] 柯燎亮[1] 于桂兰[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《工程力学》2008年第9期180-186,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(10572019)

摘　　要：该文利用线性分层模型模拟弹性参数按任意函数形式变化的非均匀土层,首先求解了覆有非均匀土层的半平面表面受集中线荷载的二维问题,然后以此为基本解,利用奇异积分方程技术求解了表面受刚性体作用的接触问题,计算了给定荷载下的接触表面力和沉降,讨论了弹性模量和泊松比的变化梯度对结果的影响。The two dimensional problem of a half-plane with an inhomogeneous soil layer subjected to a concentrated line load is solved. The inhomogeneous soil layer with arbitrarily varying elastic properties is modeled as a linear multi-layered medium. Then the solution is used as a fundamental solution to solve the contact of a rigid body on the soil surface. The contact force and sedimentation are calculated, and the effects of the elastic modulus and Poisson＇s ratio on the results are discussed.

关 键 词：非均匀 集中力 平面变形 接触 奇异积分方程 

分 类 号：O343.1[理学—固体力学]