2 citations · 2 across the 7 of their papers we have counts for
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Variational Modeling of Paperboard Delamination Under Bending
Patrick Dondl, Sergio Conti, Julia Orlik
We develop and analyze a variational model for multi-ply (i.e., multi-layered) paperboard. The model consists of a number of elastic sheets of a given thickness, which -- at the ex…
An Efficient Model for Scaffold-Mediated Bone Regeneration
Patrick Dondl, Patrina S. P. Poh, Marius Zeinhofer
We present a three dimensional, time dependent model for bone regeneration in the presence of porous scaffolds to bridge critical size bone defects. Our approach uses homogenized q…
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…
Viscosity Solutions for Doubly-Nonlinear Evolution Equations
Luca Courte, Patrick Dondl
We extend the theory of viscosity solutions to treat scalar-valued doubly-nonlinear evolution equations. Such equations arise naturally in many mechanical models including a dry fr…
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…
Pinning of Interfaces by Localized Dry Friction
Luca Courte, Patrick Dondl, Ulisse Stefanelli
We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a local…