A New Nodal Stress Recovery Technique in Finite Element Method Using Colliding Bodies Optimization Algorithm

Abstract

In Finite Element Method (FEM), the stress components are calculated within the elements firstly, and then these components are recovered to the nodes. For the recovery process, there are several well-known methods in which the increase of their accuracy imposes additional costs into the problem. In this paper, a new nodal stress recovery technique is proposed in which Colliding Bodies Optimization (CBO) Algorithm fits an appropriative function for nodal stress fields. The CBO employs this function to compute the stress components in the nodal coordinates. Therefore, a particular model to stress fields and its components will be available. It can be considered as a connection between analytical approaches and numerical methods, providing benefits of both categories. Finally, the accuracy, efficiency, and applicability of the new technique are investigated employing three diverse examples.

Automatic Domain Decomposition in Finite Element Method – A Comparative Study

“…Hence, additional computational methods are used to improve the performance of the primary numerical approach. For instance, intelligent algorithms such as meta-heuristics are utilized to enhance the accuracy and efficiency of the numerical approaches [1][2][3][4][5] and/ or parallel processing concepts have been applied widely to the finite element method in order to solve large-scale problems such as plastic analysis of structures, fracture mechanics, electrical networks, and fluid structures [6,7].…”