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A study of hyperelastic models for predicting the mechanical behavior of extensor apparatus

Elyasi, N ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1007/s10237-017-0874-x
  3. Publisher: Springer Verlag , 2017
  4. Abstract:
  5. 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. © 2017, Springer-Verlag Berlin Heidelberg
  6. Keywords:
  7. Mallet finger ; Finite element analysis ; Stability ; ABAQUS ; Convergence of numerical methods ; Deformation ; Elasticity ; Equipment ; Forecasting ; Hammers ; Strain energy ; Biaxial deformations ; Boutonniere deformity ; Extensor apparatus ; Non-linear elastic behavior ; Strain energy density functions ; Theoretical modeling ; Behavioral research ; Accuracy ; Article ; Finger injury ; Finger malformation ; Hyperelastic models ; Joint characteristics and functions ; Ogden model ; Prediction ; Priority journal ; Stress ; Tendon ; Tension ; Theoretical model ; Biological model ; Biomechanics ; Finger ; Human ; Nonlinear system ; Physiology ; Biomechanical phenomena ; Finger joint ; Fingers ; Humans ; Models, biological ; Nonlinear dynamics ; Range of motion, articular
  8. Source: Biomechanics and Modeling in Mechanobiology ; Volume 16, Issue 3 , 2017 , Pages 1077-1093 ; 16177959 (ISSN)
  9. URL: https://link.springer.com/article/10.1007%2Fs10237-017-0874-x