On the effective elastic modulus of the ribbed structure based on Schwarz Primitive triply periodic minimal surface

Recently, Schwarz Primitive triply periodic minimal surfaces (P-TPMS) lattice structure has received more and more attention due to its superior mechanical properties and unique topological configuration. In this paper, the effective elastic parameters and deformation behavior of the primary P-TPMS structure and its ribbed reinforced structure are studied, as well as the law of the influence of the change of relative density on them. An analytical model is developed, which can efficiently and accurately predict the effective uniaxial modulus of the ribbed P-TPMS lattice structure based on the effective uniaxial modulus of the primary P-TPMS lattice and the rib structure. By comparing the calculation results of the primary P-TPMS structure with the ribbed P-TPMS lattice structure utilizing the finite element analysis (FEA), it can be obtained that the vertical ribbed design can effectively improve the effective uniaxial modulus of the primary P-TPMS structure.