Abstract:
Particle shape plays an important role in the engineering behavior of the soil in terms
of its permeability, packing density, dilatancy and shear strength. Dilatancy is the
ability of granular soil to change in volume under shearing stresses. It influences
granular material behavior, ranging from shear strength to stress-strain behavior. In
this study the effect of particle shape on dilatancy of granular soil in some locations of
Ethiopia was studied. A microscope was used to capture grain images with sufficient
quality to observe the soil grain shape profile. After obtaining digital images of
individual grains, it was analyzed with a digital image processing software, ImageJ.
Roundness, circularity and inverse of the aspect ratio were determined for Abay Sand,
Addis Zemen Sand and Lalibela Sand from field sites in Ethiopia. The effects of
particle form (i.e., roundness, inverse aspect ratio, and circularity), specimen density,
and normal stress on the shear strength parameters of dry sand specimens were
studied. Three types of uniform sand (with different grain shape profiles) with grain
sizes in between U.S. Sieve No. 40 and U.S. Sieve No. 50 were tested at 53.1 kPa,
106.2 kPa, 212.4 kPa and 371.7 kPa normal stress under the direct shear test. The
influence of particle shape on dilatancy, peak state and critical state friction angles
were examined. The experimental results indicates that the rounded grains, Abay
Sand, allow for expansion within the granular mass at high normal stress, whereas the
angular grains configure themselves such that volume expansion is suppressed at high
normal stress. A stepwise regression analysis was performed with the help of JMP ®
Pro14 statistical software and a statistical model capable of predicting the dilatancy
angle by providing grain shape parameters, relative density and normal stresses as
input parameters were developed. The model predicts with a coefficient of
determination 97.4% and root mean square error of 0.149. A cross-validation
technique was utilized to validate the proposed dilatancy prediction model. The
prediction model was built using 27 data from the observations, and the remaining
nine data were utilized to validate the suggested model.
The predictive model shows that grain shape parameters influence dilatancy angle
with acceptable fit statistics and internal validity. It is recommended that the model
can predict the dilatancy angle of granular soil without the need to perform a set of
experiments. And it will be a good input for geotechnical engineers to reduce
uncertainties related to shear strength.
Keywords: Grain shape; Microscope; ImageJ; Shear strength; Dilatancy; Predictive
Model; JMP ® Pro 14; Model validation