The theory of elasticity correlates the shear modulus (G) with the soil density (r) and the velocity of the waves (Vs):
G= ρ×Vs2
So the shear modulus is in relation with the velocity of the shear waves.
The shear modulus has higher values for low levels of stress and decreases with increasing shear stress.
Estimation of shear modulus at low strains (G0) with empirical correlations.
Rix & Stokoe (1991)
Go=K×(qc)a× (σ’v0)
For sands: K=1634; a=0.25; b=0.375
Mayne & Rix (1993)
Go=K×(qc)a× (e)b
For clays: K=406; a=0.695;b=-1.13, e: void ratio
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