67 citations · 128 across the 13 of their papers we have counts for
20 papers
Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Hassam Khan, Ionel-Dumitrel Ghiba +2
We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identificat…
Morrey's conjecture for the planar volumetric-isochoric split. Part I: least convex energy functions
Jendrik Voss, Robert J. Martin, Ionel-Dumitrel Ghiba +1
We consider Morrey's open question whether rank-one convexity already implies quasiconvexity in the planar case. For some specific families of energies, there are precise condition…
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Geralf Hütter, Hassam Khan +3
We solve the St.Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphi…
Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Geralf Hütter, Angela Madeo +1
We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow t…
A constrained Cosserat shell model up to order : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1
We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order in the shell thickness . We develop the corresp…
A rank-one convex, non-polyconvex isotropic function on with compact connected sublevel sets
Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1
According to a 2002 theorem by Cardaliaguet and Tahraoui, an isotropic, compact and connected subset of the group of invertible matrices is ra…