2 citations · 3 across the 6 of their papers we have counts for
11 papers
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…
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…
The axiomatic introduction of arbitrary strain tensors by Hans Richter -- a commented translation of "Strain tensor, strain deviator and stress tensor for finite deformations"
Patrizio Neff, Kai Graban, Eva Schweickert +1
We provide a faithful translation of Hans Richter's important 1949 paper "Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Formänderungen" from its original…
A commented translation of Hans Richter's early work "The isotropic law of elasticity"
Kai Graban, Eva Schweickert, Robert J. Martin +1
We provide a faithful translation of Hans Richter's important 1948 paper "Das isotrope Elastizitätsgesetz" from its original German version into English. Our introduction summarize…