A multiscale homogenization procedure using the fabric tensor concept
| Autor: | M. C. Manzanares Cespedes, A.F. Oliveira, Jorge Belinha, Marco Marques, Renato Natal Jorge |
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| Rok vydání: | 2018 |
| Předmět: |
Apparent density
Materials science Renewable Energy Sustainability and the Environment Quantitative Biology::Tissues and Organs Physics::Medical Physics 0206 medical engineering 02 engineering and technology 020601 biomedical engineering 01 natural sciences Homogenization (chemistry) Industrial and Manufacturing Engineering Trabecular bone 0103 physical sciences General Materials Science Biological system 010301 acoustics Microscale chemistry |
| Zdroj: | Science and Technology of Materials. 30:27-34 |
| ISSN: | 2603-6363 |
| Popis: | Bone is a heterogeneous material in which structural levels can be identified, from the microscale to macroscale. Multiscale models enable to model the material using homogenization techniques. In this work, an innovative homogenization technique for trabecular bone tissue is proposed. The technique combines the fabric tensor concept and a bone phenomenological material law, linking the apparent density with the trabecular bone mechanical properties. The proposed methodology efficiently homogenizes the trabecular bone highly heterogeneous medium, allowing to define its homogenized microscale mechanical properties and to reduce the analysis computational cost (when compared with classical homogenization techniques). In order to verify the efficiency of the technique several examples were solved using a confined square patch of trabecular bone under compression. In the end, the results obtained with a classic homogenization technique and the proposed methodology were compared. |
| Databáze: | OpenAIRE |
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