Multiscale Analysis of Thermal Stress of Lattice Materials and Its Size Effects

This article focuses the research on the multi-scale analysis of the deformation of structure composed of periodic lattice materials and stress of its microcomponent under both mechanical load and thermal load. Based on the extended multiscale finite element method (EMsFEM), the equivalent thermal load formula of the lattice material is derived. Then macro displacement and stress of the microcomponent of the thermoelastic lattice structure can be obtained by the multiscale analysis with EMsFEM. The size effect of the microstructure of lattice material on the thermal deformation and microstress is studied with the EMsFEM.