Reissner Plates with Plastic Behavior: Probability of Failure

The current paper shows the application of the boundary element method for the analysis of plates under shear stress causing plasticity. In this case, the shear deformation of a plate is considered by means of Reissner's theory. The probability of failure of a Reissner's plate due to a proposed index plastic behavior I_PB is calculated taking into account the uncertainty in mechanical and geometrical properties. The problem is developed in three dimensions. The classic plasticity's theory is applied and a formulation for initial stresses that lead to the boundary integral equations due to plasticity is also used. For the plasticity calculation, the von Misses criterion is used. To solve the nonlinear equations, an incremental method is employed. The results show a relatively small failure probability (P_F) for the ranges of loads between 0.6< W < 1.0. However, for values between 1.0< W < 2.5, the probability of failure increases significantly. Consequently, for W ≥ 2.5, the plate failure is imminent. The results are compared to those that were found in the literature and the agreement is good.