in this paper, we apply the  homotopy analysis method (ham) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the ...

in the current study, an effort is made to determine three dimensional bearing capacity of rectangular foundations using discrete element method. the soil mass is modeled as discrete blocks connected with winkler springs. different factors affect the geometry of failure surface. six independent angles are used to define the failure surface. by trial and error, the optimum shape of failure surfa...

The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, provided the specific conditions are met, analysis of structural systems involved in extremely hi...