4 papers · 1 filter
Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures
Andreas Fischer, Bernhard Eidel
Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding…
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
Patrizio Neff, Bernhard Eidel, Marco Valerio d'Agostino +1
We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is do…
Tibial Implant Fixation in TKA Worth A Revision? -- How to Avoid Stress-Shielding Even for Stiff Metallic Implants
B. Eidel, A. Gote, C. -P. Fritzen +2
In total knee arthroplasty (TKA) force is transmitted into the tibia by a combined plate-stem device along with cemented or cementless stem fixation. The present work analyzes this…
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm
Bernhard Eidel, Andreas Fischer, Ajinkya Gote
In this paper we address three aspects of nonlinear computational homogenization of elastic solids by two-scale finite element methods. First, we present a nonlinear formulation of…