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 (US) |
|---|---|
| Pages (from-to) | 1025 |
| Number of pages | 1 |
| Journal | Journal of Biomechanics |
| Volume | 22 |
| Issue number | 10 |
| State | Published - 1989 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Orthopedics and Sports Medicine
Cite this
Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results. / Hollister, S. J.; Fyhrie, David P; Jepsen, K. J.; Goldstein, S. A.
In: Journal of Biomechanics, Vol. 22, No. 10, 1989, p. 1025.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analysis of trabecuar bone micro-mechanics using homogenization theory with comparison to experimental results
AU - Hollister, S. J.
AU - Fyhrie, David 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 - http://www.scopus.com/inward/record.url?scp=0024926556&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0024926556&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0024926556
VL - 22
SP - 1025
JO - Journal of Biomechanics
JF - Journal of Biomechanics
SN - 0021-9290
IS - 10
ER -