相关莫尔-库仑材料上光滑圆形基础承载能力分析.pdfVIP

SmoothCircularFootingonanAssociatedMohr-CoulombMaterial4-1

4SmoothCircularFootingonanAssociatedMohr-CoulombMaterial

4.1ProblemStatement

ThebearingcapacityofasmoothcircularfootingonaMohr-Coulombisdetermined

numericallyinthissection.Thefooting,representedbyacircleofradiusa,islocatedonan

associatedmaterialwiththefollowingproperties.

shearmodulus(G)0.1GPa

bulkmodulus(K)0.2GPa

cohesion(c)0.1MPa

frictionangle(φ)20◦

dilationangle(ψ)20◦

4.2Semi-analyticalSolution

Coxetal.(1961)havesolvednumericallytheslip-lineequationsforthisaxisymmetric-footing

problem.Thesemi-analyticalvalueoftheaveragepressureoverthefootingatfailureforafriction

angleof20◦isfoundtobe

q20.1c(4.1)

inwhichqisthebearingcapacity,andcisthecohesionofthematerial.Thecorrespondingslip-line

net,asreferencedinChen(1975),issketchedinFigure4.1.

a

Or

z

Figure4.1Coxslip-linenetforasmoothcircularfootingφ20◦

FLAC3DVersion3.0

相关莫尔‑库仑材料上的光滑圆形基础4‑1

4Sm相关莫尔‑库仑材料上的平滑圆形底座l

4.1问题陈述

本节以数值方式确定莫尔‑库仑介质上光滑圆形基础的承载能力。基础由半径为a的圆表

示，位于具有以下属性的关联材料上。