Abstract
In this paper, a numerical implementation of solid element and shell element with the Ogden material model is presented. This formulation derives the efficient constitutive law of Ogden material using invariants of the right Cauchy-Green tensor in the extension form of the Mooney-Rivlin's law, without solving eigenvalue problems or coordinate system transformations. This paper also validates the relationship between the present expression of the constitutive law and numerical stability. The convergence rates using the Newton-Raphson method are also illustrated through some numerical examples.
