Study of Correlation between CBR and Certain Physical Characteristics of Lateritic Gravels
LARE Douti, PASSOLI Abelim, AYITE Yawovi Mawuénya Xolali Dany- General Mathematics
The aim of this work is to study the possibility of establishing a correlation between the CBR value and the percentage of fines, the plasticity index, the Proctor density and the water content at the Proctor optimum of laterites that can be used in pavement layers. To this end, data was collected on the physical (percentage of fines, Atterberg limits) and mechanical (Proctor and CBR) characteristics of lateritic gravels available in Togo. In accordance with current standards, the data collected was analysed using Excel software and correlated using Matlab, with CBR as the explained variable and percentage of fines, plasticity index, Proctor density and water content at the Proctor optimum as the explanatory variables. A total of 479 test results on lateritic gravels were identified and used to carry out this study. The results of this study show that it is possible to correlate the CBR as a function of the percentage of fines and density using Matlab software. This correlation is obtained in the form of a bi-harmonic surface linking the CBR to the density and the percentage of fines, which is the solution of a partial differential equation solved by the weak form (numerical approximation using finite elements or finite differences) and not by the strong form (writing a formal solution). Keywords: laterite, road pavement, CBR, correlation