The derivation of equivalent constitutive equations of honeycomb structures by a two scale method. (English) Zbl 0819.73001
This paper evaluates the equivalent transverse shear and in-plane moduli of honeycomb cellular structures. The derivation is based upon a two scale method for the homogenization of periodic media. The equivalent two-dimensional constitutive equations are evaluated analytically in terms of their geometry and material properties. The present results compare well with some of the existing analytical results obtained by conventional approaches and show the errors of some earlier results.
MSC:
74A20 | Theory of constitutive functions in solid mechanics |
74E05 | Inhomogeneity in solid mechanics |