Using the Stochastic Finite Element Method (SFEM) to perform reliability analysis of the free vibration of composite plates with material and fabrication uncertainties has received much attention lately. In this work the stochastic analysis is performed using the First Order Reliability Method (FORM-method 2) and the Second Order Reliability Method (SORM). The basic random variables include lam...

Uncertainties related to fatigue damage estimation of non-linear systems are highly dependent on the tail behaviour and extreme values of the stress range distribution. By using a combination of the First Order Reliability Method (FORM) and Monte Carlo simulations (MCS), the accuracy of the fatigue estimations may be improved for the same computational efforts. The method is applied to a bottom...

In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The method relies modified formulation of discrete diffusion operator that ensures stability preserving all properties differential operator.

1. Abstract We propose a reliability analysis (RA) method that obtains the probability of failure by sequentially approximating the cumulative distribution function (CDF). This method uses the concept of the first order reliability method (FORM) in estimating the probability of failure but does not solve the optimization problem to obtain the most probable point (MPP). The goal of the proposed ...