Bar Axial Force Correction Method for the Elastic Performance of Truss Materials With Periodic Units

Abstract

A bar axial force correction method is proposed on the basis of the representative volume element (RVE) method in this paper, which can predict the elastic performance of truss materials with periodic units. Based on the bar axial force correction method, the problem that the RVE method that node reaction forces on the common boundary may be unbalanced can be solved. For truss materials with periodic units, the effective elastic parameters and nodal displacement responses based on the proposed method are completely consistent those for the asymptotic homogenization (AH) method. Meanwhile, the proposed method is simpler than the AH method. Furthermore, compared with the axial compression experiment, the elastic modulus error of the proposed method is 3.81%. Thus, the correctness of this method is proved. Finally, the comparisons of different homogenization methods are analyzed in the numerical examples. The numerical examples show that the calculation results of the proposed method are the same as those of the AH method. Compared with the AH method, the maximum error of effective elastic parameters and nodal displacements for the RVE method are 22.51% and 13.65%, respectively. Compared with the AH method, the maximum error of effective elastic parameters and nodal displacements for the two-node (TN) method are 14.43% and 10.60%, respectively. Therefore, the bar axial force correction method has a wider range of applications and higher computational accuracy.