25 citations · 119 across the 12 of their papers we have counts for
6 papers · 1 filter
Determining kernels in linear viscoelasticity
Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolić +2
In this work, we investigate the inverse problem of determining the kernel functions that best describe the mechanical behavior of a complex medium modeled by a general nonlocal vi…
Statistically equivalent surrogate material models and the impact of random imperfections on elasto-plastic response
Ustim Khristenko, Andrei Constantinescu, Patrick Le Tallec +1
Manufactured materials usually contain random imperfections due to the fabrication process, e.g., the 3D-printing, casting, etc. These imperfections affect significantly the effect…
Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer
Brendan Keith, Ustim Khristenko, Barbara Wohlmuth
We develop a novel data-driven approach to modeling the atmospheric boundary layer. This approach leads to a nonlocal, anisotropic synthetic turbulence model which we refer to as t…
Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
Marvin Fritz, Ustim Khristenko, Barbara Wohlmuth
Time-fractional partial differential equations are nonlocal in time and show an innate memory effect. In this work, we propose an augmented energy functional which includes the his…
Solving time-fractional differential equation via rational approximation
Ustim Khristenko, Barbara Wohlmuth
Fractional differential equations (FDEs) describe subdiffusion behavior of dynamical systems. Its non-local structure requires taking into account the whole evolution history durin…
Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials
Ustim Khristenko, Stefan Schuß, Melanie Krüger +3
A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional…