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5.8 Effective Material Properties

Now that the bubble gases have been apportioned among the elements, providing the volume fractions of gas and polymer, φgi = Vgi/Vi and φpi / Vpi/Vi, for each element i, the bulk material properties of the element can be determined.

The definition of total mass density for element i is

(44)

from equation (5). From the derivation of the energy equation (98) in Appendix A, the equivalent volumetric thermal capacity in element i is

(45)

The effective thermal conductivity for each (node/element) is determined from equation (13) as

(46)

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