Strain rate-dependent viscohyperelastic constitutive modeling of bovine liver tissue
- 371 Downloads
The mechanical response of most soft tissue is considered to be viscohyperelastic, making the development of accurate constitutive models a challenging task. In this article, we present a constitutive model for bovine liver tissue that utilizes a viscous dissipation potential, and use it to model the response of bovine liver tissue at strain rates ranging from 0.001 to 0.04 s−1. On the material modeling front of this study, the free energy is assumed to depend on the right Cauchy–Green deformation tensor, whereas a separate rate-dependent viscous potential is posited to characterize viscoelasticity. This viscous dissipation component is a function of the time rate of change of the right Cauchy–Green deformation tensor. On the experimental front, no-slip uniaxial compression experiments are conducted on bovine liver tissue at various strain rates. A numerical correction approach is used to account for the no-slip edge conditions, and the constitutive model is fit to the resulting corrected stress–strain data. The complete derivation of the material model, its implementation in the finite element software package ABAQUS, and a validation study are presented in this article. The results show that bovine liver tissue exhibits a strong strain-rate dependence even at the low strain rates considered here and that the proposed constitutive model is able to accurately describe this response.
KeywordsSoft tissue Liver Viscohyperelastic Uniaxial compression Friction
We would like to acknowledge Honda R&D Americas for their support of this project. In addition, we would like to recognize and thank the help Dr. Shawn Hunter has extended in the course of this study.
- 3.Brown J, Rosen J, Kim Y, Chang L, Sinanan M, Hannaford B (2003) In-vivo and in-situ compressive properties of porcine abdominal soft tissues. In: Medicine meets virtual reality, Newport Beach, CAGoogle Scholar
- 12.Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New YorkGoogle Scholar
- 13.Holzapfel GA (2000) Nonlinear solid mechanics; a continuum approach for engineers. Wiley, New YorkGoogle Scholar
- 14.Hu T, Desai JP (2004) Characterization of soft tissue material properties: Large deformation analysis. ISMS-LNCS 3078:28–37Google Scholar
- 20.Liu Y, Kerdok A, Howe RD (2004) A nonlinear finite element model of soft tissue indentation. ISMS-LNCS 3078:67−76.Google Scholar
- 23.Nava A, Mazza E, Kleinermann F, Avis NJ (2004) Evaluation of the mechanical properties of human liver and kidney through aspiration experiments. Technol Healthc 12:269–280Google Scholar
- 27.Roan E (2007) Experimental and multiscale computational approaches to the nonlinear characterization of liver tissue. PhD thesis, University of CincinnatiGoogle Scholar
- 29.Simulia, Inc. (2009) ABAQUS/Standard User Manual, 6.8, Providence, RIGoogle Scholar
- 30.The MathWorks, Inc. (2004) MATLAB: Version 7.0.1 DocumentationGoogle Scholar
- 33.Vemaganti K, Roan E (2010) A compressible formulation for strain rate-dependent viscohyperelasticity and its FE implementation. CAE Lab Technical Report, University of CincinnatiGoogle Scholar