Python implementation of the Dorfmann and Ogden 2004 model used for Wharton's jelly mechanical characterisation

This code aims to reproduce the non-linear viscous behaviour of soft biological tissues undergoing cyclic mechanical loads. It is based on the work of:

Dorfmann, A., and R. W. Ogden. 2004. A Constitutive Model for the Mullins Effect with Permanent Set in Particle-Reinforced Rubber. Int J Solids Struct 41 (7): 1855–78. https://doi.org/10.1016/j.ijsolstr.2003.11.014.

It has been used to reproduce the mechanical response of Wharton's jelly (WJ) membranes under tensile loading. The results are published in:

Baldit, Adrien, Marie Dubus, Johan Sergheraert, Halima Kerdjoudj, Cedric Mauprivez, and Rachid Rahouadj. 2022. Biomechanical Tensile Behavior of Human Wharton’s Jelly. J. Mech. Behav. Biomed. Mater. 126:104981. https://doi.org/10.1016/j.jmbbm.2021.104981.

This application leads to the following result:

The dataset associated to the identification performed in Baldit et al., 2022 is also available:

Baldit, Adrien, Marie Dubus, Johan Sergheraert, Halima Kerdjoudj, Cédric Mauprivez, and Rachid Rahouadj. 2021. Database on Biomechanical Tensile Behavior of Human Wharton’s Jelly. Université de Lorraine. https://doi.org/10.12763/X7CQGU.