3 papers
math.AP2024
Linearization and Homogenization of nonlinear elasticity close to stress-free joints
Stefan Neukamm, Kai Richter
In this paper, we study a hyperelastic composite material with a periodic microstructure and a prestrain close to a stress-free joint. We consider two limits associated with linear…
math.AP2023
Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods
Patrick Dondl, Yongming Luo, Stefan Neukamm +1
Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry p…
math.AP2014
Moment bounds for the corrector in stochastic homogenization of a percolation model
Agnes Lamacz, Stefan Neukamm, Felix Otto
We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on , . The model is obtained from the classical $\{0,1\…