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

Articles in Press

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

2 Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran.

Abstract

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 then the periodic boundary conditions were 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.

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Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 02 January 2026

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