Modelling torsional properties of human bones by multipoint Padé approximants

JJ Telega, S Tokarzewski, A Galka - International Conference on …, 2000 - Springer
JJ Telega, S Tokarzewski, A Galka
International Conference on Numerical Analysis and Its Applications, 2000Springer
The macroscopic modelling of the macroscopic behaviour of inhomegeneous media
requires evaluation of the effective moduli. In the relevant literature, many papers were
concerned with estimating of macroscopic moduli λ e (x)) for two-phase materials. The main
aim of this paper is to find the best estimation of λ e (x)) from a given finite number of
coefficients of power expansions of λ e (x) at x= xi, i= 1, 2,..., N, N+ 1, and apply them to
model a torsional behaviour of a human cancellous bone filled with marrow. Errors of …
Abstract
The macroscopic modelling of the macroscopic behaviour of inhomegeneous media requires evaluation of the effective moduli. In the relevant literature, many papers were concerned with estimating of macroscopic moduli λe(x)) for two-phase materials. The main aim of this paper is to find the best estimation of λe(x)) from a given finite number of coefficients of power expansions of λe(x) at x = xi, i = 1, 2, ...,N,N +1, and apply them to model a torsional behaviour of a human cancellous bone filled with marrow. Errors of numerical evaluations are calculated and discussed.
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