Nonlinear High-Order Core Theory for Sandwich Plates with Orthotropic Phases

作者：Li, Renfu^*; Kardomateas, George A.

来源：AIAA Journal, 2008, 46(11): 2926-2934.

DOI：10.2514/1.37430

• BEAMS
• PANELS
• BEHAVIOR
• BLAST

A new nonlinear high-order theory for orthotropic elastic sandwich plates is formulated. In this theory, in which the compressibility of the soft core in the transverse direction is considered, the transverse displacement in the core is of fourth order in the transverse coordinate and the in-plane displacements are of fifth order in the transverse coordinate. The theory is derived so that all core/face-sheet displacement continuity conditions are fulfilled. The nonlinear governing equations, as well as the boundary conditions for sandwich plates with orthotropic phases, are derived via a variational principle. The solution procedure is outlined and numerical results for the simply supported case of transversely loaded plates are produced for several typical sandwich configurations. These results are compared with the corresponding ones from the elasticity solution. Furthermore, the results using the classical sandwich model with and without shear are also presented. The comparison among these numerical results shows that the solution from the current theory is very close to that of the elasticity in terms of both the displacements and the transverse stress through the core. Observations in the current work suggest that this new high-order theory could have significant applications in studying the structural and failure behavior of sandwich plates.

• 出版日期2008-11