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We investigate the mechanical response of jammed packings of repulsive, frictionless spherical particles undergoing isotropic compression. Prior simulations of the soft-particle model, where the repulsive interactions scale as a power law in the interparticle overlap with exponent α, have found that the ensemble-averaged shear modulus 〈G(P)〉 increases with pressure P as ∼P^(α-3/2)/(α-1) at large pressures. 〈G〉 has two key contributions (1) continuous variations as a function of pressure along geometrical families, for which the interpa
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