13 citations · 13 across the 3 of their papers we have counts for
7 papers
Representative volume element approximations in elastoplastic spring networks
Sabine Haberland, Patrick Jaap, Stefan Neukamm +2
We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evol…
Quantitative stochastic homogenization of nonlinearly elastic, random laminates
Stefan Neukamm, Mathias Schäffner, Mario Varga
In this paper we study quantitative stochastic homogenization of a nonlinearly elastic composite material with a laminate microstructure. We prove that for deformations close to th…
Stochastic two-scale convergence and Young measures
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikelić and Wright), the notion of stochastic unfolding (recently introduced by th…
Two-scale homogenization of abstract linear time-dependent PDEs
Stefan Neukamm, Mario Varga, Marcus Waurick
Many time-dependent linear partial differential equations of mathematical physics and continuum mechanics can be phrased in the form of an abstract evolutionary system defined on a…
Stochastic homogenization of -convex gradient flows
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionary gradient systems driven by a quadratic dissipation potential and a -convex…
Stochastic unfolding and homogenization
Martin Heida, Stefan Neukamm, Mario Varga
The notion of periodic two-scale convergence and the method of periodic unfolding are prominent and useful tools in multiscale modeling and analysis of PDEs with rapidly oscillatin…
Stochastic unfolding and homogenization of spring network models
Stefan Neukamm, Mario Varga
The aim of our work is to provide a simple homogenization and discrete-to-continuum procedure for energy driven problems involving stochastic rapidly-oscillating coefficients. Our…