title: A study of hyperelastic models for predicting the mechanical behavior of extensor apparatus.
abstract: In this research, the nonlinear elastic behavior of human extensor apparatus was investigated. To this goal, firstly the best material parameters of hyperelastic strain energy density functions consisting of the Mooney-Rivlin, Ogden, invariants, and general exponential models were derived for the simple tension experimental data. Due to the significance of stress response in other deformation modes of nonlinear models, the calculated parameters were used to study the pure shear and balance biaxial tension behavior of the extensor apparatus. The results indicated that the Mooney-Rivlin model predicts an unstable behavior in the balance biaxial deformation of the extensor apparatus, while the Ogden order 1 represents a stable behavior, although the fitting of experimental data and theoretical model was not satisfactory. However, the Ogden order 6 model was unstable in the simple tension mode and the Ogden order 5 and general exponential models presented accurate and stable results. In order to reduce the material parameters, the invariants model with four material parameters was investigated and this model presented the minimum error and stable behavior in all deformation modes. The ABAQUS Explicit solver was coupled with the VUMAT subroutine code of the invariants model to simulate the mechanical behavior of the central and terminal slips of the extensor apparatus during the passive finger flexion, which is important in the prediction of boutonniere deformity and chronic mallet finger injuries, respectively. Also, to evaluate the adequacy of constitutive models in simulations, the results of the Ogden order 5 were presented. The difference between the predictions was attributed to the better fittings of the invariants model compared with the Ogden model.
authors.affiliation: Department of Materials Science and Engineering, Sharif University of Technology, P.O. Box 11155-9466, Azadi Ave., Tehran, Iran.
authors.forename: Nahid
authors.initials: N
authors.lastname: Elyasi
authors.affiliation: School of Medicine Shahid Beheshti University of Medical Science, Tehran, Iran.
authors.forename: Kimia Karimi
authors.initials: KK
authors.lastname: Taheri
authors.affiliation: Department of Materials Science and Engineering, K.N. Toosi University of Technology, P.O. Box 19395-1999, Vanak Square, Molla-Sadra, Pardis, Tehran, Iran. knarooei@kntu.ac.ir.
authors.forename: Keivan
authors.identifier: http://orcid.org/0000-0002-7606-8664
authors.initials: K
authors.lastname: Narooei
authors.affiliation: Department of Materials Science and Engineering, Sharif University of Technology, P.O. Box 11155-9466, Azadi Ave., Tehran, Iran.
authors.forename: Ali Karimi
authors.initials: AK
authors.lastname: Taheri
mesh_terms: D001696:Biomechanical Phenomena; D005384:Finger Joint / Q000502:physiology; D005385:Fingers / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D016059:Range of Motion, Articular / Q000502:physiology
keywords: Boutonniere deformity; Extensor apparatus; Hyperelastic models; Mallet finger; Stability