$\newcommand{\Dev}{\operatorname{Dev}}$ $\newcommand{\dev}{\operatorname{dev}}$ $\newcommand{\grad}{\operatorname{grad}}$ $\newcommand{\Grad}{\operatorname{Grad}}$ $\newcommand{\divg}{\operatorname{div}}$ $\newcommand{\Ei}{\operatorname{Ei}}$ $\newcommand{\tr}{\operatorname{tr}}$ $\newcommand{\Divg}{\operatorname{Div}}$ $\newcommand{\cay}{\operatorname{cay}}$ $\newcommand{\rot}{\operatorname{rot}}$

The Ogden material is defined using the following hyperelastic strain energy function: $$\begin{equation} W\left(\lambda_{1},\lambda_{2},\lambda_{3},J\right)=\sum\limits _{i=1}^{N}\frac{c_{i}}{m_{i}^{2}}\left(\tilde{\lambda}_{1}^{m_{i}}+\tilde{\lambda}_{2}^{m_{i}}+\tilde{\lambda}_{3}^{m_{i}}-3\right)+U\left(J\right)\,.\label{eq453} \end{equation}$$ Here, $\tilde{\lambda}_{i}$ are the deviatoric principal stretches and $c_{i}$ and $m_{i}$ are material parameters. The term $U\left(J\right)$ is the volumetric component and $J$ is the determinant of the deformation gradient.