Research on structural response of metallic lattice tube based on higher-order field displacement (HOFD) theory

A metallic cylindrical lattice tube under internal pressure was analyzed by using the HODF theory. The response of the structure was obtained and compared with that obtained by using the FEM analysis. By using the homogenization method, three cylindrical lattice tubs, whose lattice types were Triangle, Square, and Kagome respectively, under internal pressure were homogenized to be orthotropic material and calculated by HODF theory. The HODF theoretical results and the FEM results were respectively obtained and their comparisons show that the differences are very small. The radial displacement and axial displacement obtained with HODF theory are nearly the same as the respective displacements obtained with FEM. The errors in radial stress, hoop stress and radial strain are relatively small. The ratios of the displacements obtained respectively with HODF theory and FEM are calculated and the patterns of these respective ratios are nearly the same. The results of Triangle and Kagome are better than the results of Square. The comparison and analysis of calculated results confirm preliminarily that the higher-order displacement theory can be used to calculate the correct responses of the metallic cylindrical lattice tube under internal pressure.