Speaker
Dr
Josip Tambača
(University of Zagreb)
Description
In this work we consider a planar periodic network of elastic rods. As the model for a structure made of elastic rods we use a one-dimensional model of Naghdi/Timošenko type allowing for membrane, stretching and bending deformations with the Kirchhoff type junction conditions. Using a mesh two-scale convergence, a variant of the two-scale convergence adapted for models given on lower-dimensional objects, we show that the equilibrium solutions of this elastic network with periodicity size $\delta$ converge when $\delta$ tends to zero to the solution of the plate equation. The elasticity tensor in the effective plate equation is obtained as the solution of the network problem on the unit cell,
as usual in homogenization.
Primary authors
Dr
Adrien Semin
Dr
Josip Tambača
(University of Zagreb)
Dr
Kersten Schmidt
(TU Darmstadt)
Dr
Matko Ljulj
(University of Zagreb)
