Nonlinear Behavior of Honeycomb Structure Under Large Deformations Using Absolute Nodal Coordinate Formulation and Periodic Homogenization

This study determines the elastic constants and evaluates the in-plane mechanical behavior of hexagonal and re-entrant (auxetic) honeycomb structures under large deformations by utilizing the Absolute Nodal Coordinate Formulation (ANCF) for modeling elastic forces and applying periodic boundary conditions (PBCs) to precisely control deformations at the boundaries. A representative volume element (RVE) was selected, and static equations were derived by modeling cell walls as beam elements using the ANCF based on the finite element method (FEM) and the periodic boundary conditions were subsequently implemented. After solving the static equations, analytical validation was performed for small deformations. The results demonstrate that honeycomb structures exhibit nonlinear behavior under large deformations, which is crucial to determine for dynamic applications. In addition, the proposed model provides an effective technique for determining elastic constants and evaluating the mechanical behavior of honeycomb structures under large deformations, with applicability to various cellular geometries and piezoelectric cell structures.

کلیدواژه ها:

Honeycomb Structure ، Absolute nodal coordinate formulation ، Periodic boundary conditions ، Large deformation ، Elastic constants