Multiphysics investigation of the axial members using the peridynamic method

Abstract

The accurate understanding of the behavior and analysis of the structures is necessary to appropriate design of them. Over the past decades, various methods have been proposed for the analysis of structures that each of them include some deficiencies. The peridynamic is a new method for solving the problems. This method overcomes the deficiencies and limitations of conventional methods such as the finite element method due to its unique capabilities. Nowadays, it uses as a powerful method to solve problems. After the proposition of peridynamic theory in 2000, various problems have been solved. However, very limited work has been done in the solving longitudinal vibration of axial members and modeling of lattice structures. In this paper, the behavior of this type of members was examined by the peridynamics method and its capability to take into account the static and dynamic loading, as well as temperature variations, was shown using MATLAB software. The peridynamic results are in good agreement with analytical results. Also, for certain states of the problem, it is impossible or difficult to find an answer by analytical methods or other methods, while using the peridynamic method can easily be answered. Finally, the peridynamic model has been extended to truss modeling and the ability of this method to analyze any types of trusses were shown.

Keywords

• peridynamic
• longitudinal vibration
• finite element
• axial members
• temperature variation
• truss