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

Authors

  • Ali Kaveh
    Affiliation

    Department of Civil Engineering, Iran University of Science and Technology, Narmak, Postal Code 1684613114, Tehran, Iran

  • Mohammad Reza Seddighian
    Affiliation

    Department of Civil Engineering, Iran University of Science and Technology, Narmak, Postal Code 1684613114, Tehran, Iran

https://doi.org/10.3311/PPci.14801

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.

Keywords:

Finite Element Method, error estimation, optimization, metaheuristics, Colliding Bodies Optimization

Published Online

2019-11-28

How to Cite

Kaveh, A., Seddighian, M. R. “A New Nodal Stress Recovery Technique in Finite Element Method Using Colliding Bodies Optimization Algorithm”, Periodica Polytechnica Civil Engineering, 63(4), pp. 1159–1170, 2019. https://doi.org/10.3311/PPci.14801

Issue

Section

Research Article