Now showing items 1-5 of 5

• #### Derivation of a homogenized nonlinear plate theory from 3d elasticity ﻿

(2014-12-31)
We derive, via simultaneous homogenization and dimension reduction, the (Formula presented.)-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the ...
• #### Derivation of a homogenized von-Kármán plate theory from 3D nonlinear elasticity ﻿

(2013-12-31)
We rigorously derive a homogenized von-Kármán plate theory as a Γ-limit from nonlinear three-dimensional elasticity by combining homogenization and dimension reduction. Our starting point is an energy functional that ...
• #### Derivation of a homogenized von-Kármán shell theory from 3D elasticity ﻿

(2014-12-31)
We derive homogenized von Kármán shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters: the period of oscillation $\epsilon$ of the material ...
• #### Nonlinear weakly curved rod by Γ-Convergence ﻿

(2012-12-31)
We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods ...
• #### Shallow-shell models by Γ-convergence ﻿

(2012-12-31)
In this paper we derive, by means of Γ-convergence, the shallow-shell models starting from non-linear three-dimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ...