Nanocomposite Property Calculator

Modulus, density, and percolation threshold for nanocomposites.

Filler Volume (%)

Matrix Modulus (GPa)

Filler Modulus (GPa)

Filler Aspect Ratio

Filler Density (g/cm³)

Matrix Density (g/cm³)

Tab to move between fields

Halpin-Tsai Modulus (GPa)

6.03

Percolation Threshold (%)

0.5

Rule of Mixtures (GPa)6.35

Composite Density (g/cm³)1.25

Filler Weight (%)8.8

Specific Modulus (GPa·cm³/g)4.82

Modulus Improvement (%)101

Matrix Specific Modulus2.5

How to Use This Calculator

Enter filler volume fraction (%) and matrix modulus (GPa) from the base polymer datasheet.
Set filler modulus (GPa) and filler aspect ratio (length/diameter) for your nanofiller.
Enter filler and matrix densities (g/cm³) for weight fraction calculations.
Review Halpin-Tsai modulus, rule-of-mixtures modulus, percolation threshold, and composite density.
Compare both modulus models — Halpin-Tsai accounts for aspect ratio and is generally more accurate for nanofillers.

How the result changes with Matrix Modulus (GPa)

Filler Volume (%): Nanofiller volume fraction.
Matrix Modulus (GPa): Polymer matrix modulus. Epoxy~3, PP~1.5, nylon~2.8.
Filler Modulus (GPa): Nanofiller modulus. CNT~1000, graphene~1000, nanoclay~170.
Filler Aspect Ratio: Length/diameter of filler. CNT: 100-10000, nanoclay: 50-500.
Filler Density (g/cm³): CNT~1.4, nanoclay~2.6, silica~2.2.
Matrix Density (g/cm³): Polymer density. Epoxy~1.2, PP~0.9, nylon~1.14.

Halpin-Tsai Modulus (GPa): Composite modulus via Halpin-Tsai model.
Rule of Mixtures (GPa): Upper bound (Voigt) composite modulus.
Percolation Threshold (%): Critical volume fraction for connected filler network.
Composite Density (g/cm³): Composite bulk density.
Filler Weight (%): Weight fraction of filler.
Specific Modulus (GPa·cm³/g): Stiffness per unit weight.
Modulus Improvement (%): Percentage increase over neat matrix.

Identify Input Parameters
4 parameters
Filler Volume (%) = 5, Matrix Modulus (GPa) = 3, Filler Modulus (GPa) = 70, Filler Aspect Ratio = 100 = 6 input(s) provided
Calculate Halpin-Tsai Modulus
Halpin-Tsai Modulus = matrixModulusGPa * (1 + xi * eta * Vf) / (1 - eta * Vf)
6.03 = 6.03
Calculate Percolation Threshold
Percolation Threshold = 1 / (2 * aspectRatio) * 100
0.5 = 0.5
Calculate Rule of Mixtures
Rule of Mixtures = matrixModulusGPa * Vm + fillerModulusGPa * Vf
6.35 = 6.35
Calculate Composite Density
Composite Density = matrixDensity * Vm + fillerDensity * Vf
1.25 = 1.25