| People | Locations | Statistics |
|---|---|---|
| Naji, M. |
| |
| Motta, Antonella |
| |
| Aletan, Dirar |
| |
| Mohamed, Tarek |
| |
| Ertürk, Emre |
| |
| Taccardi, Nicola |
| |
| Kononenko, Denys |
| |
| Petrov, R. H. | Madrid |
|
| Alshaaer, Mazen | Brussels |
|
| Bih, L. |
| |
| Casati, R. |
| |
| Muller, Hermance |
| |
| Kočí, Jan | Prague |
|
| Šuljagić, Marija |
| |
| Kalteremidou, Kalliopi-Artemi | Brussels |
|
| Azam, Siraj |
| |
| Ospanova, Alyiya |
| |
| Blanpain, Bart |
| |
| Ali, M. A. |
| |
| Popa, V. |
| |
| Rančić, M. |
| |
| Ollier, Nadège |
| |
| Azevedo, Nuno Monteiro |
| |
| Landes, Michael |
| |
| Rignanese, Gian-Marco |
|
Wilke, Hans-Joachim
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (7/7 displayed)
- 2024Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebarscitations
- 2022Cervical spine and muscle adaptation after spaceflight and relationship to herniation riskcitations
- 2017A new multiscale micromechanical model of vertebral trabecular bonescitations
- 2012Fabric based tsai-Wu yield-strength criterion for vertebral trabecular bone in stress spacecitations
- 2011Numerical Homogenization of Trabecular Bone Specimens using Composite Finite Elements
- 2009Statistical osteoporosis models using composite finite elementscitations
- 2008Determining Effective Elasticity Parameters of Microstuctured Materials
Places of action
| Organizations | Location | People |
|---|
document
Determining Effective Elasticity Parameters of Microstuctured Materials
Abstract
In this paper we study homogenization of elastic materials with a periodic microstructure. Homogenization is a tool to determine effective macroscopic material laws for microstructured materials that are in a statistical sense periodic on the microscale. For the computations Composite Finite Elements (CFE), tailored to geometrically complicated shapes, are used in combination with appropriate multigrid solvers.<br/><br/>We consider representative volume elements constituting geometrically periodic media and a suitable set of microscopic simulations on them to determine an effective elasticity tensor. For this purpose, we impose unit macroscopic deformations on the cell geometry and compute the microscopic displacements and an average stress. Using sufficiently many unit deformations, the effective (usually anisotropic) elasticity tensor of the cell can be determined.<br/><br/>In this paper we present the algorithmic building blocks for implementing these “cell problems” using CFE, periodic boundary conditions and a multigrid solver. We apply this in case of a scalar model problem and linearized elasticity. Furthermore, we present a method to determine whether the underlying material property is orthotropic, and if so, with respect to which axes.