A 3D trabecular bone homogenization technique

• Autorzy: Marques Marco Costa , Belinha J. , Oliveira A. F. , Manzanares Cespedes M.C. , Natal Jorge R.M.

Identyfikatory

DOI

10.37190/ABB-01611-2020-02

• Języki publikacji: EN

Abstrakty

EN

Purpose: Bone is a hierarchical material that can be characterized from the microscale to macroscale. Multiscale models make it possible to study bone remodeling, inducing bone adaptation by using information of bone multiple scales. This work proposes a computationally efficient homogenization methodology useful for multiscale analysis. This technique is capable to define the homogenized microscale mechanical properties of the trabecular bone highly heterogeneous medium. Methods: In this work, a morphology-based fabric tensor and a set of anisotropic phenomenological laws for bone tissue was used, in order to define the bone micro-scale mechanical properties. To validate the developed methodology, several examples were performed in order to analyze its numerical behavior. Thus, trabecular bone and fabricated benchmarks patches (representing special cases of trabecular bone morphologies) were analyzed under compression. Results: The results show that the developed technique is robust and capable to provide a consistent material homogenization, indicating that the homogeneous models were capable to accurately reproduce the micro-scale patch mechanical behavior. Conclusions: The developed method has shown to be robust, computationally less demanding and enabling the authors to obtain close results when comparing the heterogeneous models with equivalent homogenized models. Therefore, it is capable to accurately predict the micro-scale patch mechanical behavior in a fraction of the time required by classic homogenization techniques.

Słowa kluczowe

EN

fabric tensor; homogenization technique; multiscale; bone

PL

tensor tkaniny; technika homogenizacji; wieloskalowe; kość

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2020
• Tom: Vol. 22, no. 3
• Strony: 139--152
• Opis fizyczny: Bibliogr. 27 poz., rys., tab., wykr.

Twórcy

autor

Marques Marco Costa

• Institute of Science and Innovation in Mechanical and Industrial Engineering, Campus da FEUP Rua Dr. Roberto Frias, 400, 4200-465, Porto, Portugal

autor

Belinha J.

• Institute of Science and Innovation in Mechanical and Industrial Engineering, Porto, Portugal
• Department of Mechanical Engineering, School of Engineering, Polytechnic of Porto, Porto, Portugal

autor

Oliveira A. F.

• Institute of Biomedical Sciences Abel Salazar, Porto, Portugal

autor

Manzanares Cespedes M.C.

• Muscular and Skeletal Pathology Research, Human Anatomy and Embryology Unit, Universitat de Barcelona, Barcelona, Spain

autor

Natal Jorge R.M.

• Institute of Science and Innovation in Mechanical and Industrial Engineering, Porto, Portugal
• Faculty of Engineering of University of Porto, Porto, Portugal

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