Poroviscoelastic Two-Dimensional Anisotropic Solution with Application to Articular Cartilage Testing
Publication: Journal of Engineering Mechanics
Volume 135, Issue 5
Abstract
The transverse anisotropic poromechanics solution for the two-dimensional Mandel-type problem geometry is extended in this paper to account for the orthotropic nature of the porous media, thus mimicking the response of articular cartilage samples when subjected to load perturbation. The anisotropic solution presented takes into account the viscoelastic and anisotropic nature of the fluid-saturated cartilage specimen sandwiched between two impermeable rigid plates and subjected to quasi-static step loading conditions; thus simulating the unconfined compressive test responses of cartilage samples in biomechanics laboratory setups. The solution addresses the stress, fluid pressure, and displacement results due to load application through exact modeling of the intrinsic nature of the orthotropic viscoelastic matrix structure as well as the compressible interstitial fluid flow responses. Poromechanical parameter characterization and modeling of biological tissues, such as cartilage, will find this analytical solution to the two-dimensional anisotropic poroviscoelastic geometry very useful. This problem will not only serve as a benchmark for validating numerical schemes and simulations but also assist in calibrating laboratory results on biological tissues, including cyclic loadings.
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Acknowledgments
The financial support of the PoroMechanics Industrial Consortium at the University of Oklahoma is gratefully acknowledged.
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Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 5 • May 2009
Pages: 367 - 374
Copyright
© 2009 ASCE.
History
Received: Jul 5, 2007
Accepted: May 7, 2008
Published online: May 1, 2009
Published in print: May 2009
Notes
Note. Associate Editor: Christian Hellmich
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