Title of article :
Homogenized elastic properties of honeycomb sandwich with skin effect
Author/Authors :
X. Frank Xu، نويسنده , , Pizhong Qiao ، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
The adaptation of homogenization theory to periodic plates is presented and extended to include transverse shear
deformation theory for a honeycomb sandwich. Based on the scaling asymptotic expansions about plate thickness d for
sandwiches with comparable characteristic periodicity e, the homogenization functions P, U, and V are formulated
implicitly in 3-D elliptical equations corresponding to the modes of transverse shear, in-plane stretch and out-plane
bending. The solutions of these periodic functions are analytically obtained through a multi-pass homogenization
technique that includes the first pass of a geometry-to-material transformation model and the second pass of 2-D unit
cell homogenization. The derivation not only leads to analytical formulas of homogenized (To distinguish the homogenization
between micro-scale and meso-scale, the term ‘homogenized’ or ‘equivalent’ is hereby used in meso-scale,
corresponding to the term ‘effective’ for micro-scale.) elastic stiffness of honeycomb sandwiches, but also demonstrates
the significance of usually neglected skin effect on honeycomb computations. Finally, a periodic unit cell finite element
modeling technique is developed to validate the analytical approach and further complement it with skin rigidity
considered.
Keywords :
Honeycomb sandwiches , homogenization , Plate theory , Equivalent stiffness , Cellular structures , Skin effect , Geometry-to-material transformation model , Multi-passhomogenization , Unit cell finite element modeling
Journal title :
International Journal of Solids and Structures
Journal title :
International Journal of Solids and Structures