Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results

S. J. Hollister; D. P. Fyhrie; K. J. Jepsen; S. A. Goldstein

doi:10.1016/0021-9290(89)90284-4

Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results

S. J. Hollister
, D. P. Fyhrie
, K. J. Jepsen
, S. A. Goldstein

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

A new approach to the analysis of trabecular bone micro-mechanics using homogenization theory combined with morphological analysis is presented. In homogenization theory, the mechanical behavior of a microstructured material is represented by an asymptotic expansion of the field variable. It assumes the microstructure is periodic and therefore one representative micro model is analyzed for each microstructure. Two cell types were analyzed, a strut model and a spherical void model. The homogenization predictions of stiffness for the spherical void model were compared to standard finite element analysis of the same model and found to be consistent. Modulus volume fraction relationships were plotted for each cell type.

Original language	English
Pages (from-to)	1025
Number of pages	1
Journal	Journal of Biomechanics
Volume	22
Issue number	10
DOIs	https://doi.org/10.1016/0021-9290(89)90284-4
State	Published - 1989
Externally published	Yes
Event	Abstracts of the XII Congress, International Society of Biomechanics - Los Angeles, CA, USA Duration: 26 Jun 1989 → 30 Jun 1989

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title = "Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results",

abstract = "A new approach to the analysis of trabecular bone micro-mechanics using homogenization theory combined with morphological analysis is presented. In homogenization theory, the mechanical behavior of a microstructured material is represented by an asymptotic expansion of the field variable. It assumes the microstructure is periodic and therefore one representative micro model is analyzed for each microstructure. Two cell types were analyzed, a strut model and a spherical void model. The homogenization predictions of stiffness for the spherical void model were compared to standard finite element analysis of the same model and found to be consistent. Modulus volume fraction relationships were plotted for each cell type.",

author = "Hollister, \{S. J.\} and Fyhrie, \{D. P.\} and Jepsen, \{K. J.\} and Goldstein, \{S. A.\}",

year = "1989",

doi = "10.1016/0021-9290(89)90284-4",

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note = "Abstracts of the XII Congress, International Society of Biomechanics ; Conference date: 26-06-1989 Through 30-06-1989",

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TY - JOUR

T1 - Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results

AU - Hollister, S. J.

AU - Fyhrie, D. P.

AU - Jepsen, K. J.

AU - Goldstein, S. A.

PY - 1989

Y1 - 1989

N2 - A new approach to the analysis of trabecular bone micro-mechanics using homogenization theory combined with morphological analysis is presented. In homogenization theory, the mechanical behavior of a microstructured material is represented by an asymptotic expansion of the field variable. It assumes the microstructure is periodic and therefore one representative micro model is analyzed for each microstructure. Two cell types were analyzed, a strut model and a spherical void model. The homogenization predictions of stiffness for the spherical void model were compared to standard finite element analysis of the same model and found to be consistent. Modulus volume fraction relationships were plotted for each cell type.

AB - A new approach to the analysis of trabecular bone micro-mechanics using homogenization theory combined with morphological analysis is presented. In homogenization theory, the mechanical behavior of a microstructured material is represented by an asymptotic expansion of the field variable. It assumes the microstructure is periodic and therefore one representative micro model is analyzed for each microstructure. Two cell types were analyzed, a strut model and a spherical void model. The homogenization predictions of stiffness for the spherical void model were compared to standard finite element analysis of the same model and found to be consistent. Modulus volume fraction relationships were plotted for each cell type.

UR - https://www.scopus.com/pages/publications/0024926556

U2 - 10.1016/0021-9290(89)90284-4

DO - 10.1016/0021-9290(89)90284-4

M3 - Conference article

AN - SCOPUS:0024926556

SN - 0021-9290

VL - 22

SP - 1025

JO - Journal of Biomechanics

JF - Journal of Biomechanics

IS - 10

T2 - Abstracts of the XII Congress, International Society of Biomechanics

Y2 - 26 June 1989 through 30 June 1989

ER -

Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results

Abstract

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