activity
20182022
most citedRank-one convexity vs. ellipticity for isotropic functions

2 citations · 4 across the 6 of their papers we have counts for

collaborators

10 papers

physics.app-ph20221 cited

Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach

Jendrik Voss, Gianluca Rizzi, Patrizio Neff +1

We present an inertia-augmented relaxed micromorphic model that enriches the relaxed micromorphic model previously introduced by the authors via a term in the…

math.AP20211 cited

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…

math.AP2020

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…

math.AP20202 cited

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…

math.AP2020

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…

math.AP2019

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…