Vascularized biological tissue has been shown to increase in stiffness with increased perfusion pressure. The interaction between blood in the vasculature and other tissue components can be modeled with a poroelastic, biphasic approach. The ability of this model to reproduce the pressure-driven stiffening behavior exhibited by some tissues depends on the choice of the mechanical constitutive relation, defined by the Helmholtz free energy density of the skeleton. We analyzed the behavior of a number of isotropic poroelastic constitutive relations by applying a swelling pressure, followed by homogeneous uniaxial or simple-shear deformation. Our results demonstrate that a strain-stiffening constitutive relation is required for a material to show pressure-driven stiffening, and that the strain-stiffening terms must be volume-dependent.
Skip Nav Destination
Article navigation
August 2014
Research-Article
Constitutive Relations for Pressure-Driven Stiffening in Poroelastic Tissues
Adam M. Reeve,
Adam M. Reeve
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: aree035@aucklanduni.ac.nz
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: aree035@aucklanduni.ac.nz
Search for other works by this author on:
Martyn P. Nash,
Martyn P. Nash
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: martyn.nash@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: martyn.nash@auckland.ac.nz
Search for other works by this author on:
Andrew J. Taberner,
Andrew J. Taberner
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: a.taberner@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: a.taberner@auckland.ac.nz
Search for other works by this author on:
Poul M. F. Nielsen
Poul M. F. Nielsen
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: p.nielsen@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: p.nielsen@auckland.ac.nz
Search for other works by this author on:
Adam M. Reeve
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: aree035@aucklanduni.ac.nz
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: aree035@aucklanduni.ac.nz
Martyn P. Nash
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: martyn.nash@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: martyn.nash@auckland.ac.nz
Andrew J. Taberner
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: a.taberner@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: a.taberner@auckland.ac.nz
Poul M. F. Nielsen
Faculty of Engineering,
Auckland Bioengineering Institute and
Department of Engineering Science,
e-mail: p.nielsen@auckland.ac.nz
Auckland Bioengineering Institute and
Department of Engineering Science,
University of Auckland
,Auckland 1010
, New Zealand
e-mail: p.nielsen@auckland.ac.nz
Manuscript received November 18, 2013; final manuscript received April 2, 2014; accepted manuscript posted May 14, 2014; published online June 13, 2014. Assoc. Editor: Guy M. Genin.
J Biomech Eng. Aug 2014, 136(8): 081011 (9 pages)
Published Online: June 13, 2014
Article history
Received:
November 18, 2013
Revision Received:
April 2, 2014
Accepted:
May 14, 2014
Citation
Reeve, A. M., Nash, M. P., Taberner, A. J., and Nielsen, P. M. F. (June 13, 2014). "Constitutive Relations for Pressure-Driven Stiffening in Poroelastic Tissues." ASME. J Biomech Eng. August 2014; 136(8): 081011. https://doi.org/10.1115/1.4027666
Download citation file:
Get Email Alerts
Cited By
Related Articles
Computational Modeling of Ventricular Mechanics and Energetics
Appl. Mech. Rev (March,2005)
Structural Three-Dimensional Constitutive Law for the Passive Myocardium
J Biomech Eng (August,1988)
Nonlinear Incompressible Finite Element for Simulating Loading of Cardiac Tissue—Part II: Three Dimensional Formulation for Thick Ventricular Wall Segments
J Biomech Eng (February,1988)
Experimentally Validated Microstructural 3D Constitutive Model of Coronary Arterial Media
J Biomech Eng (March,2011)
Related Proceedings Papers
Related Chapters
Introduction to Stress and Deformation
Introduction to Plastics Engineering
Analysis of Components: Strain- and Deformation-Controlled Limits
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range
Microstructure Evolution and Physics-Based Modeling
Ultrasonic Welding of Lithium-Ion Batteries