Revisión de Modelos Hiperelásticos utilizados en Tejidos

Abstract

This work is related to the hyperelastic models most used in soft tissue. The importance of obtaining accurate mechanical properties of tissues are of great interest for various medical applications, for example: in treatment of diseases and surgical simulations in real time. The aim of this literature review is to evaluate the models used for proposing a mathematical formulation and modelling the mechanical behaviour of a sequence of layers of soft tissues and your reply to undergo external actions of mechanical nature, in order to improve the techniques of characterization of soft tissues.

Keywords: Biomechanical, Hyperelasticity, Mechanical Properties, Nonlinear elasticity, Soft Tissues.

References
[1] Arruda, E. M., & Boyce, M. C. (1993). “A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials”. Journal of the Mechanics and Physics of Solids, 41(2), 389-412.


[2] Brown, C. P., Nguyen, T. C., Moody, H. R., Crawford, R. W., & Oloyede, A. (2009). “Assessment of common hyperelastic constitutive equations for describing normal and osteoarthritic articular cartilage”. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 223(6), 643-652.


[3] Evans, S. L. (2009). “On the implementation of a wrinkling, hyperelastic membrane model for skin and other materials”. Computer methods in biomechanics and biomedical engineering, 12(3), 319-332.


[4] Groves, R. B., Coulman, S. A., Birchall, J. C., & Evans, S. L. (2013). “An anisotropic, hyperelastic model for skin: experimental measurements, finite element modelling and identification of parameters for human and murine skin”. Journal of the mechanical behavior of biomedical materials, 18, 167-180.


[5] Hendriks, F. M., Brokken, D., Oomens, C. W. J., & Baaijens, F. P. T. (2004). “Influence of hydration and experimental length scale on the mechanical response of human skin in vivo, using optical coherence tomography”. Skin Research and Technology, 10(4), 231-241.


[6] Lim, J., Hong, J., Chen, W. W., & Weerasooriya, T. (2011). “Mechanical response of pig skin under dynamic tensile loading”. International Journal of Impact Engineering, 38(2), 130-135


[7] Mahmud, J., Holt, C., Evans, S., Manan, N. F. A., & Chizari, M. (2012). “A parametric study and simulations in quantifying human skin hyperelastic parameters”. Procedia Engineering, 41, 1580-1586.


[8] Mahmud, L., Manan, N. F. A., Ismail, M. H., & Mahmud, J. (2013). “Characterisation of soft tissues biomechanical properties using 3D Numerical Approach”. In Business Engineering and Industrial Applications Colloquium (BEIAC), (pp. 801-806).


[9] Mooney, M. (1940). “A theory of large elastic deformation”. Journal of applied physics, 11(9), 582-592.


[10] Ogden, R. W. (1972). “Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids”. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences (Vol. 326, No. 1567, pp. 565-584).


[11] Su, J., Zou, H., & Guo, T. (2009). “The study of mechanical properties on soft tissue of human forearm in vivo”. In Bioinformatics and Biomedical Engineering, 3rd International Conference on (pp. 1-4).


[12] Tran, H. V., Charleux, F., Rachik, M., Ehrlacher, A., & Ho Ba Tho, M. C. (2007). “In vivo characterization of the mechanical properties of human skin derived from MRI and indentation techniques”. Computer methods in biomechanics and biomedical engineering, 10(6), 401-407.


[13] Treloar (1944). “Stress-strain data for vulcanised rubber under various types of deformation”. Transactions of the Faraday Society, 40, 59-70.


[14] Treloar (1973). “The mechanics of rubber elasticity”. Journal Of Polymer Science: Polymer Symposia, 48(1), 107-123.


[15] Yeoh, O. H. (1993). “Some forms of the strain energy function for rubber”. Rubber Chemistry and technology, 66(5), 754-771.


[16] Zisis, T., Zafiropoulou, V. I., & Giannakopoulos, A. E. (2015). “Evaluation of material properties of incompressible hyperelastic materials based on instrumented indentation of an equal-biaxial prestretched substrate”. International Journal of Solids and Structures, 64, 132-144.