せん断応力下の砂の粒子破砕に消費されるエネルギーについて

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This paper describes the phenomenon of grain crushing of a sand during shear at high confining pressures. The author gives an equation of the increment of energy dissipated per unit volume in grain crushing in the form; δW_c=pδν_c. Based on a few assumptions, the increment of volumetric strain due to grain crushing δν_c is determined experimental]y as a function of effective mean stress p. Hence, the non-recoverable energy change per unit volume δW is divided into two components, namely the energy loss in grain crushing δW_c and the energy dissipated in the interparticle relative motion (sliding and rolling) δW_s. Thus, the axial strain ε_<1s> and volumetric strain ν_s due solely to the interparticle relative motion are derived from the measured axial strain ε_1 and volumetric strain ν, respectively. Obtained values of ε_<1s> and ν_s are utilized for the examination of the phenomenon of grain crushing during shear, in the light of Rowe's stress-dilatancy theory. This procedure is applied to the results of triaxial tests on a sand under various high confining pressures, up to 500 kg per sq. cm. It is shown that the relation curves between stress ratio (σ'_1/σ'_3) and dilatancy factor (1-δν_s/δε_<1s>) tend to move along the K_cυ line.
山口大学の論文