A simple elastic isotropic constitutive model for the spongy tissue in lung is derived from the theory of hypoelasticity. The model is shown to exhibit a pressure dependent behavior that has been interpreted by some as indicating extensional anisotropy. In contrast, we show that this behavior arises natural from an analysis of isotropic hypoelastic invariants, and is a likely result of non-linearity, not anisotropy. The response of the model is determined analytically for several boundary value problems used for material characterization. These responses give insight into both the material behavior as well as admissible bounds on parameters. The model is characterized against published experimental data for dog lung. Future work includes non-elastic model behavior.
Revised: February 29, 2012 |
Published: March 1, 2012
Citation
Freed A.D., and D.R. Einstein. 2012.Hypo-Elastic Model for Lung Parenchyma.Biomechanics and Modeling in Mechanobiology 11, no. 3-4:557-573.PNNL-SA-79440.doi:10.1007/s10237-011-0333-z