A hierarchy of micropolar plate equations

Paper in proceeding, 2016

This work considers homogeneous isotropic micropolar plates adopting a power series expansion method in the thickness coordinate. Equations of motion, for extensional and flexural case, together with consistent sets of end boundary conditions are derived in a systematic fashion up to arbitrary order. The plate equations are asymptotically correct to all studied orders. Numerical results are presented for various orders of the present method, other approximate theories as well as the exact three dimensional theory. The results illustrate that the present approach may render benchmark solutions provided higher order truncatio