Geometrical Nonlinear Analysis Considering Probabilistic Material Nonlinearity

The statistics reflecting the contribution of the material parameters to the total variability of the response parameter are presented by carrying out sensitivity analysis (SA). To accomplish SA a numerical model for the geometrical plus material nonlinear analysis of 2D structural elements is developed. The model employs corotational formulation combined with numerical integration and hence is suitable for many commonly used cross sectional shapes. The accuracy of the proposed algorithm is validated through examples from previous literature. Then material uncertainties are addressed in probabilistic fashion through Monte Carlo simulations