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Laminate Composites > Laminates theory > Micromechanics

Particulate reinforced ply

The equations used to calculate the properties for a particulate reinforced ply are from [1]. The following equations assume that the constituents, matrix and particles, are isotropic. The particulate composite is assumed to have isotropic property. Superscript f designates the particle, superscript m designates the matrix, and superscript pc designates a property of the particulate ply.

The mass density of the particulate composite is given by a ‘rule of mixture’ type of equation:

The Young‘s modulus is given by:

Because the composite is assumed to be isotropic, the Poisson’s ratio is given by the usual relationship:

The shear modulus of the particulate ply is also given by similar expressions:

Where Gm and Gp correspond to the shear stiffness coefficients of the matrix and particles, respectively.

The thermal conductivity of the particulate ply is given by:

Where Km and Kp correspond to the thermal conductivity of the matrix and particles, respectively.

The coefficient of thermal expansion of the particulate composite is given by:

and

The heat capacity is given by:

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id626816 · retrieved 2026-07-17