Numerical Homogenization Techniques Applied to Growth and Remodelling Phenomena
| Autor: | Holger Steeb, T. Ebinger, Stefan Diebels |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Materials science
Spongy bone Applied Mathematics Mechanical Engineering Constitutive equation Computational Mechanics Microscopic level Ocean Engineering Granular media Mechanics Homogenization (chemistry) Macroscopic stress Computational Mathematics Computational Theory and Mathematics Computational Science and Engineering Composite material |
| Zdroj: | Computational Mechanics. 39:815-830 |
| ISSN: | 1432-0924 0178-7675 |
| DOI: | 10.1007/s00466-006-0071-8 |
| Popis: | Materials with inherent microstructures like granular media, foams or spongy bones often show a complex constitutive behaviour on the macroscale while the microscopic constitutive equations may be formulated in a simple fashion. Applying homogenization procedures allows to transfer the information from the microlevel to the macrolevel. In the present contribution the porous structure of hard biological tissues, i.e. of spongy bones, is investigated. On the macroscale the approach is embedded into an extended continuum mechanical setting in order to capture size effects. The constitutive equations are formulated on the microscopic level taking into account growth and reorientation of the microstructural elements. By application of a strain-driven numerical homogenization procedure the macroscopic stress response is obtained. |
| Databáze: | OpenAIRE |
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