Extension of an asymptotic algorithm to orthotropic viscoplastic structural analysis

The modern applications of structures, operating under severe loading conditions and at an elevated temperature, result in nonlinear viscoplastic material behavior. The inevitable prediction of the mechanical response leads to an expensive numerical analysis. In the following, a numerical study is presented for a new, asymptotic, numerical method applied to an orthotropic viscoplastic material. Its numerical features are compared to those of the explicit Runge-Kutta method. A canonical transformation and an adaptive step scheme are included within the material solver for algorithmic efficiency and solution accuracy. The asymptotic algorithm appears to be computationally appearing especially in regions of numerical stiffness and, in general, it tolerates larger iterative steps.