Concise Derivation of Formulas for 3D Sublaminate Homogenization

Abstract

Typically, lamina by lamina modeling of thick composites is excessively expensive. Although formulas for sublaminate homogenization appear in the literature, there are discrepancies and the derivations are either not given or are complex. Herein, a simple, concise derivation of homogenization formulas is presented. The formulas are easily specialized for special classes of laminates. The formulas are expressed in an efficient form, which makes them suitable for use in numerical simulations. Three-dimensional finite element analysis was used to demonstrate that the formulas are exact.

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