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New resource for the computation of cartilage biphasic material properties with the interpolant response surface method
Authors:Kathryn E Keenan  Lampros C Kourtis  Thor F Besier  Derek P Lindsey  Garry E Gold  Scott L Delp
Institution:1. VA Rehabilitation Research and Development Center , Palo Alto, CA, USA;2. Department of Mechanical Engineering , Stanford University , Stanford, CA, USA kek@stanford.edu;4. Department of Mechanical Engineering , Stanford University , Stanford, CA, USA;5. Department of Orthopaedics , Stanford University , Stanford, CA, USA;6. VA Rehabilitation Research and Development Center , Palo Alto, CA, USA;7. Department of Radiology , Stanford University Medical Center , Stanford, CA, USA;8. Department of Bioengineering , Stanford University , Stanford, CA, USA;9. Department of Mechanical Engineering , Stanford University , Stanford, CA, USA
Abstract:Cartilage material properties are important for understanding joint function and diseases, but can be challenging to obtain. Three biphasic material properties (aggregate modulus, Poisson's ratio and permeability) can be determined using an analytical or finite element model combined with optimisation to find the material properties values that best reproduce an experimental creep curve. The purpose of this study was to develop an easy-to-use resource to determine biphasic cartilage material properties. A Cartilage Interpolant Response Surface was generated from interpolation of finite element simulations of creep indentation tests. Creep indentation tests were performed on five sites across a tibial plateau. A least-squares residual search of the Cartilage Interpolant Response Surface resulted in a best-fit curve for each experimental condition with corresponding material properties. These sites provided a representative range of aggregate moduli (0.48–1.58 MPa), Poisson's ratio (0.00–0.05) and permeability (1.7 × 10? 15–5.4 × 10? 15 m4/N s) values found in human cartilage. The resource is freely available from https://simtk.org/home/va-squish.
Keywords:cartilage  biphasic theory  indentation testing
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