67 citations · 134 across the 17 of their papers we have counts for
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Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler +3
We derive the quasiconvex relaxation of the Biot-type energy density for planar mappings $φ\colon\mathbb{R}^2\to \m…
Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
Patrizio Neff, Sebastian Holthausen, Marco Valerio d'Agostino +4
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann rate \begin{align} \frac{{\rm D}^{\rm ZJ}}{{\rm D} t} [σ] = \mathbb{H}^{\rm ZJ}(σ).D, \qquad D = {\r…
A natural requirement for objective corotational rates -- on structure preserving corotational rates
Patrizio Neff, Sebastian Holthause, Sergey N. Korobeynikov +2
We investigate objective corotational rates satisfying an additional, physically plausible assumption. More precisely, we require for \begin{equation*} \frac{{\rm D}^{\circ}}{{\rm…
A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain
Marco Valerio d'Agostino, Sebastian Holthausen, Davide Bernardini +4
Following Hill and Leblond, the aim of our work is to show, for isotropic nonlinear elasticity, a relation between the corotational Zaremba-Jaumann objective derivative of the Cauc…
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 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…