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PHR = parts per hundred of filler particles by mass
That is, if PHR=10, then 10 kg of filler particles is added to 100 kg of raw rubber resin.
PHR = 100 * mf / mr
MASS FRACTION OF FILLERS = mf / (mf + mr) = PHR / (100 + PHR)
To get the volume fraction of fillers it is necessary to know the ratio of the density of the fillers to the density of the rubber resin:
VOL. FRAC. FILLERS = rhof/rhor * PHR / (100 + rhof/rhor * PHR)
Often, rho_fillers / rho_rubber = 0.5, giving
VOL. FRAC. FILLERS approx = 0.5 * PHR / (100 + 0.5 * PHR)
ABAQUS requires that the neo-Hookean material parameters be expressed in terms of C10 and D1. These parameters can be obtained from the shear modulus (mu) and the bulk modulus (kappa) by the following expressions:
C10 = mu / 2
D1 = 2 / kappa