In this paper, a new formulation to analyze the response variability due to the randomness in nonlinear material constant such as the Poisson's ratio is presented. Since the Poisson's ratio, together with elastic modulus, is a material constant which influences the behavior of structures, the independent evaluation of the effects of this parameter on the response variability is of importance. To
... [Show full abstract] overcome the difficulties in obtaining the response variability caused by the nonlinearity in Poisson's ratio, the constitutive matrix is stochastically expanded into several sub-matrices taking into consideration of the polynomial expansion on the coefficients of constitutive matrix. To illustrate the accuracy of the proposed formulation, some example structures are chosen and the results are compared with those obtained by means of classical Monte Carlo simulation. Through the formulation proposed in this study, it becomes possible for the non-statistical weighted integral stochastic finite element analysis to consider all the uncertain material parameters in its application.