Fundamental Studies on Dynamic Measurement of Soil Values (II)

Adaptability Verification and Measurement of Soil Values of Extended Frictional Equation

Abstract

Regression analysis of the extended frictional equation of the form
S=c+K_σ·V^2(1-m)·σ^m+K_V·Vⁿ
…|F, a|
in which c, a, K_σ, K_V, m and n are soil values, S is internal shearing stress, F external shearing stress, σ normal stress, V shearing speed and the nomenclature |F, a| means F and a are exchangeable with S and c was conducted by Deming's the least square method and the soil values and 95% error band were obtained:
1. In internal shearing, the existence of all the soil values was confirmed on compacted sandy loam. Soil values c, K_V and n were obtained on soft clay in which K_σ was assumed zero, while c and K_σ on dry sand and loose sandy loam in which m and K_V were assumed unit and zero respectively, so that here the equation is reduced to Coulomb's.
Description on internal shearing could be applicable to external one except that the value of m which is smaller than unity was obtained on dry sand and loose sandy loam.
2. By examining 95 percent error band, the authors concluded that the equation is valid for describing dynamic soil-shearing resistance in high-speed shearing except for the case of external shearing under excessive high-speed.