On the accuracy of a homogenization scheme for the linear buckling analysis of structures assembled from beam-based lattice plates

PurposeThis study examines the accuracy of a homogenization scheme for the linear buckling analysis of structures assembled from beam-based lattice plates. Regardless of in-plane acting loads, the buckling behavior is characterized by the abrupt out-of-plane deformation. Apparently, if the lattice plates are modeled as homogenized ones, the out-of-plane effective material properties should be considered. However, as prevalently implemented in literature, the in-plane effective material properties are assigned to the homogenized plates for the linear buckling analysis, and thus, the results are erroneous.Design/methodology/approachThe linear buckling analysis is performed by two finite element models, i.e. the high- and low-fidelity finite element models. In the former one, each strut of the lattice structures is modeled as an Euler-Bernoulli beam, and thus, all the geometrical features are explicitly simulated. On the other hand, the low-fidelity one involves the homogenized plates having the out-of-plane effective material properties determined from the lattice counterparts using an energy-based homogenization method.FindingsThe accuracy of the homogenization scheme is confirmed by the comparison of results obtained by the high- and low-fidelity finite element models. Six topological configurations of the unit cells are considered, and the first five buckling modes are inspected. In all examinations, the low-fidelity finite element model offers the acceptable level of accuracy, i.e. the relative difference between two finite element models is lower than 5%. Furthermore, it is recommended to use the out-of-plane effective material properties rather than the in-plane ones to ensure the precise simulation.Originality/valueThe current study is original. In literature, there are some studies regarding the buckling analysis of lattice plates or panels with out-of-plane material properties. However, these studies use the analytical approach, and consequently, they are confined to lattice structures whose geometry is simple. In the present paper, structures assembled from beam-based lattice plates are examined. It can be noticed that these structures can have complex geometry. Therefore, the feasibility and accuracy of using out-of-plane effective material properties with homogenized plates for the linear buckling analysis of lattice plates are validated.