46 citations · 148 across the 26 of their papers we have counts for
4 papers · 2 filters
Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model
Ionel-Dumitrel Ghiba, Patrizio Neff, Sebastian Owczarek
In this paper we use a property of the extension operator from the space of tangential traces of in the context of the linear relaxed micromorphic model, a…
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin +1
Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensio…
A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity
Eva Schweickert, L. Angela Mihai, Robert J. Martin +1
It has recently been shown that for a Cauchy stress response induced by a strictly rank-one convex hyperelastic energy potential, a homogeneous Cauchy stress tensor field cannot co…
Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity
Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +1
In this note, we provide an explicit formula for computing the quasiconvex envelope of any real-valued function with f…