Martin Jesenko
YOU?
Author Swipe
View article: Γ-convergence of a discrete Kirchhoff rod energy
Γ-convergence of a discrete Kirchhoff rod energy Open
This work is motivated by the classical discrete elastic rod model by Audoly et al . We derive a discrete version of the Kirchhoff elastic energy for rods undergoing bending and torsion and prove Γ-convergence to the continuous model. This…
View article: $Γ$-convergence of a discrete Kirchhoff rod energy
$Γ$-convergence of a discrete Kirchhoff rod energy Open
This work is motivated by the classical discrete elastic rod model by Audoly et al. We derive a discrete version of the Kirchhoff elastic energy for rods undergoing bending and torsion and prove $Γ$-convergence to the continuous model. Thi…
View article: Linearization and computation for large-strain visco-elasticity
Linearization and computation for large-strain visco-elasticity Open
Time-discrete numerical minimization schemes for simple visco-elastic materials in the Kelvin-Voigt rheology at high strains are not well posed because of the non-quasi-convexity of the dissipation functional. A possible solution is to res…
View article: Linearization and Computation for Large-Strain Viscoelasticity
Linearization and Computation for Large-Strain Viscoelasticity Open
Time-discrete numerical minimization schemes for simple viscoelastic materials in the large strain Kelvin-Voigt rheology are not well-posed due to non-quasiconvexity of the dissipation functional. A possible solution is to resort into non-…
View article: Pinning of interfaces in a random medium with zero mean
Pinning of interfaces in a random medium with zero mean Open
We consider two related models for the propagation of a curvature sensitive interface in a time independent random medium. In both cases we suppose that the medium contains obstacles that act on the propagation of the interface with an inh…
View article: Geometric linearization of theories for incompressible elastic materials and applications
Geometric linearization of theories for incompressible elastic materials and applications Open
We derive geometrically linearized theories for incompressible materials from nonlinear elasticity theory in the small displacement regime. Our nonlinear stored energy densities may vary on the same (small) length scale as the typical disp…
View article: Infinite pinning
Infinite pinning Open
In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obsta…
View article: Geometric linearization of theories for incompressible elastic materials\n and applications
Geometric linearization of theories for incompressible elastic materials\n and applications Open
We derive geometrically linearized theories for incompressible materials from\nnonlinear elasticity theory in the small displacement regime. Our nonlinear\nstored energy densities may vary on the same (small) length scale as the\ntypical d…
View article: Threshold phenomenon for homogenized fronts in random elastic media
Threshold phenomenon for homogenized fronts in random elastic media Open
We investigate the behaviour of solutions of a fractional semilinear partial differential equation that models the evolution of an interface in a random medium. We show a pinning result and apply it to the related homogenizing process.
View article: Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials
Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials Open
We prove a homogenization result for Hencky plasticity functionals with non-convex potentials. We also investigate the influence of a small hardening parameter and show that homogenization and taking the vanishing hardening limit commute.
View article: Homogenization and the limit of vanishing hardening in Hencky plasticity\n with non-convex potentials
Homogenization and the limit of vanishing hardening in Hencky plasticity\n with non-convex potentials Open
We prove a homogenization result for Hencky plasticity functionals with\nnon-convex potentials. We also investigate the influence of a small hardening\nparameter and show that homogenization and taking the vanishing hardening limit\ncommut…