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We numerically investigate the rheological properties of jammed frictionlessgranular materials under an oscillatory shear in terms of our simulation of thedistinct element method. It is demonstrated that the constitutive relationbetween the shear stress and the shear strain of grains strongly depends on theamplitude and the frequency of the oscillatory shear. For a small amplituderegion, the granular material behaves as a visco-elastic material characterizedby the Kelvin-Voigt model, while it behaves as a yield stress liquid for alarge amplitude region. We find that the rheology of grains under the largeamplitude oscillatory shear can be described by a phenomenological constitutivemodel.

Constitutive Relations of Jammed Frictionless Granular Materials under Oscillatory Shear