Reissner Plates with Plastic Behavior: Probability of Failure

Abstract

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 IPB 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 (PF) 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.

Efficient Analytical Model for Long‐Term Performance of Laminated Tube with Viscoelastic Interlayer by Quasi‐Elastic Approximation

“…Generally, a laminated tube is composed of two or more subcomponents of diferent materials, and the adjacent members are usually connected discontinuously by studs, nails, and dowels or continuously glued by adhesives [8]. Due to the characteristics of the constituent materials, practical problems exist for the laminated structure under diferent external conditions [9][10][11][12]. One of them is that the interfacial slip is inevitable to occur because the kinds of connections can hardly be rigid.…”