Study on Equation of Shear Stress-Displacement Curves

on Kacigin-Guskov Equation

Abstract

Investigating various equations which represent shear stress-displacement curves, the author found that the Kacigin-Guskov equation as follows should apply to only a limited case where f_s=2, 7554 f_m
τ/p=f_m(1+a/cosh(d/K_τ))tanh(d/K_τ)
a=2.55(f_s-f_m/f_m)^0.825
Instead of Kacigin-Guskov equation the author proposed a corrected equation depend on Pokrovski equation, that is:
τ/p=f_m×[1-√1-f_m/f_se^{d/K_τlog{1+f_s/f_m(√1-f_m/f_s-1)}}/√1-f_m/f_s(1-2f_s/f_m)+2f_s/f_m-2]×[1-e^{d/K_τlog{1+f_s/f_m(√1-f_m/f_s-1)}}]
Furthermore, the author compared both formulae by figures which were made by a XY plotter and confirmed the usefulness of the corrected equation.