21 citations · 21 across the 2 of their papers we have counts for
3 papers
math.AP2012
Derivation of a homogenized von-Karman shell theory from 3D elasticity
Peter Hornung, Igor Velcic
We derive the model of homogenized von Kármán shell theory, starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters…
math.AP2012
Derivation of a homogenized nonlinear plate theory from 3d elasticity
Peter Hornung, Stefan Neukamm, Igor Velcic
We derive, via simultaneous homogenization and dimension reduction, the Gamma-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to,…
math.AP2012★ 21 cited
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
Peter Hornung, Marta Lewicka, Mohammad Reza Pakzad
We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the…