Internal states of model isotropic granular packings. III. Elastic properties.

摘要: In this third and final paper of a series, elastic properties numerically simulated isotropic packings spherical beads assembled by different procedures subjected to varying confining pressure P are investigated. addition P, which determines the stiffness contacts Hertz's law, moduli chiefly sensitive coordination number, possible values not necessarily correlated with density. Comparisons numerical experimental results for glass in 10kPa − 10MPa range reveal similar differences between dry samples compacted vibrations lubricated packings. The greater latter, spite their lower density, can hence be attributed larger number. Voigt Reuss bounds bracket bulk modulus B accurately, but simple estimation schemes fail shear G, especially poorly coordinated configurations under low P. Tenuous, fragile networks respond differently changes load direction, as compared intensity. modulus, packings, tends vary proportionally degree force indeterminacy per unit volume. extends small strain intervals, agreement observations. origins nonelastic response discussed. We conclude that provide access mechanically important information about numbers, escape direct measurement techniques, indicate further perspectives.