Robert J. Martin

activity

20162026

most citedRank-one convexity vs. ellipticity for isotropic functions

2 citations · 12 across the 17 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

3 papers · 2 filters

math.AP2020

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ 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 $GL^{+} (2)$ of invertible $2 \times 2 -$ matrices is ra…

math.AP2020★ 2 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 $W : GL^{+} (n) \to R$ on the group $GL^{+} (n)$ of invertible $n \times n -$ 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…

A rank-one convex, non-polyconvex isotropic function on GL+(2) with compact connected sublevel sets

Rank-one convexity vs. ellipticity for isotropic functions

Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ with compact connected sublevel sets