Application of the reiterated homogenization to determination of the effective moduli of compact bone

• Autorzy: Telega J.J. , Gałka A. , Tokarzewski S.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is twofold. First, the available results of finding the effective macroscopic elastic moduli of a compact bone by using homogenization are surveyed. Secondly, it is shown that the proper framework for studying such organic materials with hierarchical microstructure is that of reiterated homogenization. T-convergance theory is applied to obtain the general formulae for the effective elastic moduli of a material with three structural levels.

PL

Cel pracy jest dwojaki: po pierwsze, przedstawiono podsumowanie dotychczasowych badań dotyczących wyznaczania współczynników sprężystości kości zbitej przy zastosowaniu metod homogenizacji. Po drugie, wykazano, że homogenizacja reiterowana stanowi odpowiednie narzędzie do badania takich materiałów organicznych o hierarchicznej mikrostrukturze. Zastosowano teorię T-zbieżności do wyprowadzenia ogólnych zależności opisujących efektywne współczynniki sprężyste materiału o trzech poziomach strukturalnych.

Słowa kluczowe

EN

compact bone; homogenization; reiterated homogenization

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 1999
• Tom: nr 3
• Strony: 687--706
• Opis fizyczny: Bibliogr. 44 poz., il.

Twórcy

autor

Telega J.J.

• Institute of fundamental Technological Research, Polish Academy of Sciences

autor

Gałka A.

• Institute of fundamental Technological Research, Polish Academy of Sciences

autor

Tokarzewski S.

• Institute of fundamental Technological Research, Polish Academy of Sciences

Bibliografia

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