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II.1.11.1 Material thermal parameters

Two scalar parameters influence the transient thermal behavior of laminates: the density ρ and the heat capacity (per unit of mass) Cp. As these two parameters are scalar, their characteristics do not depend on the possible anisotropy of the material.

On the other hand, the thermal conductivity λT is a 2nd order tensor. Generally, for an anisotropic material, the thermal conductivity equation can be written as follows:

q1 q2 q3 = -λ11T λ 12T λ 31T λ12T λ 22T λ 23T λ31T λ 23T λ 33T T.

For an orthotropic material, the previous equations reduces to:

q1 q2 q3 = -λ11T 0 0 0 λ22T 0 0 0 λ33T T.

Then, only three material parameters define the thermal conductivity. Finally, for an isotropic material the thermal conductivity is defined by a single parameter λT :

q1 q2 q3 = -λT 0 0 0 λT 0 0 0 λT T.