Calculus of Variations and Geometric Measure Theory

L. Bufford - E. Davoli - I. Fonseca

Multiscale Homogenization in Kirchhoff's nonlinear plate theory

created by davoli on 15 Jan 2015
modified on 04 Sep 2020


Published Paper

Inserted: 15 jan 2015
Last Updated: 4 sep 2020

Journal: Mathematical Models and Methods in Applied Sciences
Year: 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