Igor Velčić

activity

20122021

most citedSharp operator-norm asymptotics for thin elastic plates with rapidly oscillating periodic properties

6 citations · 19 across the 11 of their papers we have counts for

collaborators

Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015

Stochastic homogenization of the bending plate model

Peter Hornung, Matthaus Pawelczyk, Igor Velcic

We use the notion of stochastic two-scale convergence to solve the problem of stochastic homogenization of the elastic plate in the bending regime.

math.AP2015

On the simultaneous homogenization and dimension reduction in elasticity and locality of $Γ$ -closure

Mario Bukal, Igor Velcic

On the example of linearized elasticity we provide a framework for simultaneous homogenization and dimension reduction in the setting of linearized elasticity as well as non-linear…

math.AP2015

Regularity of intrinsically convex $W^{2, 2}$ surfaces and a derivation of a homogenized bending theory of convex shells

Peter Hornung, Igor Velcic

We prove smoothness of $W^{2, 2}$ isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We then derive the $Γ$ -limit of three dimensi…

Stochastic homogenization of the bending plate model

On the simultaneous homogenization and dimension reduction in elasticity and locality of Γ-closure

Regularity of intrinsically convex W2,2 surfaces and a derivation of a homogenized bending theory of convex shells

On the simultaneous homogenization and dimension reduction in elasticity and locality of $Γ$ -closure

Regularity of intrinsically convex $W^{2, 2}$ surfaces and a derivation of a homogenized bending theory of convex shells