Multiscale homogenization in Kirchhoff's nonlinear plate theory
Laura Bufford, Elisa Davoli, Irene Fonseca · Mathematical Models and Methods in Applied Sciences · 2015
The interplay between multiscale homogenization and dimension reduction for nonlinear elastic thin plates is analyzed in the case in which the scaling of the energy corresponds to Kirchhoff's nonlinear bending theory for plates. Different limit models are deduced depending on the relative ratio between the thickness parameter h and the two homogenization scales ε and ε2.