Assessment of mechanical properties of bone trabeculae as an inverse problem of heterogeneous material modeling

• Autorzy: Janc K. , Tarasiuk J. , Lipinski P. , Bonnet A. S. , Wronski S.

Identyfikatory

DOI

10.24423/aom.3469

• Języki publikacji: EN

Abstrakty

EN

In this study, the trabecular bone was treated as a composite material that consists of a bone matrix weakened by ellipsoidal pores. Under the hypothesis that all information concerning the local properties and the microarchitecture are “encrypted” in the apparent properties of a given volume element (VE) of the bone, a method of retrieving these data was proposed. Software based on a genetic algorithm, combined with the incremental scale transition method was developed to this end. To test the approach, μCT measurements of four bone samples were performed providing their real micro-architecture. Tensors of apparent properties of the samples were next computed by numerical (finite element) homogenization method for a large range of the elastic properties of trabeculae. They were considered as the fitness function for the proposed algorithm. Very good agreement was found between the obtained and target values of the apparent elastic properties of the samples and volume fraction of pores. The approach is fast and accurate enough in comparison to the finite element homogenization. As an auxiliary result it was shown that the anisotropy of apparent elastic properties is mainly related to the microarchitecture of the bone, not to the intrinsic properties of trabeculae.

Słowa kluczowe

EN

bone mechanical properties; inverse problem; computer modelling; incremental scheme

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2020
• Tom: Vol. 72, nr 5
• Strony: 385--414
• Opis fizyczny: Bibliogr. 43 poz.

Twórcy

autor

Janc K.

• Faculty of Physics and Applied Computer Science (WFiIS), AGH– Universityof Science and Technology, 30 Mickiewicza Ave., 30-059 Kraków, Poland

autor

Tarasiuk J.

• Faculty of Physics and Applied Computer Science (WFiIS), AGH– Universityof Science and Technology, 30 Mickiewicza Ave., 30-059 Kraków, Poland

autor

Lipinski P.

• LEM3, Université de Lorraine, Ecole Nationale d’Ingénieurs de Metz, 1 Route d’ArsLaquenexy, BP 65820, 57 078 Metz Cedex 03, France

autor

Bonnet A. S.

• LEM3, Université de Lorraine, Ecole Nationale d’Ingénieurs de Metz, 1 Route d’ArsLaquenexy, BP 65820, 57 078 Metz Cedex 03, France

autor

Wronski S.

• Faculty of Physics and Applied Computer Science (WFiIS), AGH– Universityof Science and Technology, 30 Mickiewicza Ave., 30-059 Kraków, Poland

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