1 citations · 1 across the 5 of their papers we have counts for
7 papers
-convergence of a discrete Kirchhoff rod energy
Patrick Dondl, Coffi Aristide Hounkpe, Martin Jesenko
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 tor…
Linearization and Computation for Large-Strain Viscoelasticity
Patrick Dondl, Martin Jesenko, Martin Kružík +1
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 dissipa…
Infinite pinning
Patrick Dondl, Martin Jesenko, Michael Scheutzow
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 d…
Geometric linearization of theories for incompressible elastic materials and applications
Martin Jesenko, Bernd Schmidt
We derive geometrically linearized theories for incompressible materials from nonlinear elasticity theory in the small displacement regime. Our nonlinear stored energy densities ma…
Pinning of interfaces in a random medium with zero mean
Patrick Dondl, Martin Jesenko, Michael Scheutzow
We consider a discrete and a continuum model for the propagation of a curvature sensitive interface in a time independent random medium. In both cases we suppose that the medium co…
Threshold phenomenon for homogenized fronts in random elastic media
Patrick Dondl, Martin Jesenko
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 r…