In this chapter, we extend the first-order NOM to higher order by using a Taylor series expansion. The is special case of NOM. can be derived two methods, one weighted expansion, and other minimization operator energy functional for For quadratic functional, residual, tangent stiffness matrix nonlocal strong form. section on numerical examples, applied current method problems formulated form we...

the computation of structural failure probability is vital importance in the reliability analysis and may be carried out on the basis of the first-order reliability method using various mathematical iterative approaches such as hasofer-lind and rackwitz-fiessler (hl-rf). this method may not converge in complicated problems and nonlinear limit state functions, which usually shows itself in the f...

in this paper the fuzzy structural reliability index was determined through modeling epistemic uncertainty arising from ambiguity in statistical parameters of random variables. the first order reliability method (form) has been used and a robust genetic algorithm in the alpha level optimization method has been proposed for the determination of the fuzzy reliability index. the sensitivity level ...

An accurate estimate of thermal stresses in multilayered microelectronics structures along the bonded interfaces is crucial for design and prediction of delamination-related failures. Compared with a numerical method, analytical closed-form solution can offer a more rapid method to obtain the stresses at the interfaces. An analytical model for ply-level sub-laminate analysis is investigated in ...