2 citations · 4 across the 6 of their papers we have counts for
9 papers · 1 filter
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…
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…
Rank-one convexity vs. ellipticity for isotropic functions
Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +1
It is well known that a twice-differentiable real-valued function on the group of invertible ma…
Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split
Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1
We consider the volumetric-isochoric split in planar isotropic hyperelasticity and give a precise analysis of rank-one convexity criteria for this case, showing that the Legendre-H…
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…
The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity
Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +2
We consider conformally invariant energies on the group of -matrices with positive determinant, i.e. $W\colon\operatorname{GL}^+(2)\to\mathbb…