Analytical, experimental, and numerical evaluation of mechanical properties of a new unit cell with hyperbolic shear deformable beam theory

In this study, the mechanical properties of a new hexagonal pyramid unit cell, including modulus of elasticity and yield stress with uniform porosity, are obtained using the HSDBT. This beam theory is used because of considering the effect of shear on the equations and increases the accuracy of the results. Furthermore, the mechanical properties are extracted by numerical modeling and the stiffness matrix methods of the structure using finite element software. In addition, elastic-plastic-damage behavior was implemented into a nonlinear finite element model, which tracks the compressive behavior of the lattice structure. The lattice structure was fabricated using the additive manufacturing method. Mechanical properties were studied using compressive tests and DIC. The outcomes of the developed analytical model indicate the enhanced accuracy of obtained results with the experiments. Finally, the effect of changes in the geometry parameter of the material’s unit cell on the mechanical properties of the whole structure is evaluated. The results indicate that these changes have a significant effect on the mechanical properties of the entire structure. As a result, adequately determining geometric parameters, the convenient efficiency and suitable distribution of mechanical properties for the desired applications will be achieved.