Multiporoelasticity of Hierarchically Structured Materials: Micromechanical Foundations and Application to Bone
Publication: Journal of Engineering Mechanics
Volume 135, Issue 5
Abstract
We here extend the theory of microporomechanics by Dormieux et al. to multiple pore spaces. As an application, we reveal, on the basis of a recently validated multiscale elastic model for bone tissues by Fritsch and Hellmich, the effects of multiple pore pressures in various, scale-separated pore spaces, on the overall behavior of the multiporous composite material. Thereby, our focus is on the lacunar pore space, and on its interplay with the pore spaces found further below: not only those between the mineral crystals (of some characteristic pore size) but also those of the collagen molecules building up (micro-)fibrils (with a little more than distance between these molecules). Our results clearly show that the interplay between pore pressure and skeleton deformation depends strongly on the loading direction and on the characteristic size of the pores—hence, we can conclude that the consideration of these strongly hierarchical and anisotropic effects in whole-organ simulations including fluid mass transport, would allow for valuable new insights into the ongoing discussion on poromechanobiology of bone.
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Acknowledgments
The first and second writers are grateful for financial support from the Europe-wide exchange program called ERASMUS, which has made possible the research stay of the second writer at Vienna University of Technology, in the course of her Ph.D. studies.
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Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 5 • May 2009
Pages: 382 - 394
Copyright
© 2009 ASCE.
History
Received: Mar 28, 2008
Accepted: Oct 20, 2008
Published online: Mar 3, 2009
Published in print: May 2009
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