Abstract

This paper presents the results of the comparison between a proposed Fourth Order Elastic Constants (FOECs) nonlinear model defined in the sense of Landau’s theory, and the two most contrasted hyperelastic models in the literature, Mooney–Rivlin, and Ogden models. A mechanical testing protocol is developed to investigate the large-strain response of ex vivo cervical tissue samples in uniaxial tension in its two principal anatomical locations, the epithelial and connective layers. The final aim of this work is to compare the reconstructed shear modulus of the epithelial and connective layers of cervical tissue. According to the obtained results, the nonlinear parameter A from the proposed FOEC model could be an important biomarker in cervical tissue diagnosis. In addition, the calculated shear modulus depended on the anatomical location of the cervical tissue ( = 1.29 ± 0.15 MPa, and = 3.60 ± 0.63 MPa).

Highlights

  • Modeling of soft tissue implies new perspectives that carry several clinical applications

  • We show the theoretical relationship between stress and strain for a proposed hyperelastic model based on the Fourth Order Elastic Constants (FOECs) in the sense of Landau’s theory, Mooney–Rivlin and

  • As a first contribution, we proposed a new hyperelastic model based on the Fourth Order Elastic Constants (FOECs) in the sense of Landau’s theory to reconstruct the nonlinear parameters in cervical tissue by fitting the experimental data with this model

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Summary

Introduction

Modeling of soft tissue implies new perspectives that carry several clinical applications It could be used, for example, in tissue engineering [1,2,3], for finite element modeling [4,5,6,7], to analyze virtual reality in clinical practice [8,9] and for surgery planning [10,11]. For example, in tissue engineering [1,2,3], for finite element modeling [4,5,6,7], to analyze virtual reality in clinical practice [8,9] and for surgery planning [10,11] To simulate those applications, the theory of linear elasticity has been employed to understand the results of mechanical tests on soft tissues [12,13]. The simplicity of the proposed model in conjunction with a good correlation with the experimental data can be presented as an accurate and simple model in computational solid mechanics field

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