A New Phenomenological Model for the Crushing Failure Mechanism Lattice Structures

Abstract

A new phenomenological model for lattice structures that exhibit crushing‐like failure mechanisms is presented. The model estimates the compressive stress–strain curves of such lattices based on their relative density. The model is derived from the underdamped oscillator's general equation and the rheological model's properties. The model applicability is tested on five circular cell lattice structures having various relative densities, as well as a body‐centered‐cubic and a square cell lattice, for further validation. The model accurately captures the curves’ profile qualitatively and quantitatively compared with the experimental data. A relationship between each parameter and the relative density is established to extend the model's functionality as fourth‐order polynomial equations. Additionally, the energy absorption values between the measured data and the model up to the crushing of the first layer are in relatively good agreement ranging between 2.68% and 25.3%, proving the model's effectiveness. Overall, the new phenomenological model can estimate essential features of the lattice structures based solely on the relative density while reducing the time and the cost needed during the design phase.