The goal of this paper is to investigate the effects of randomly removed structural members of auxetic cellular material on the evaluation of elastic constants. Statistical volume element SVE size ensuring prescribed accuracy is adopted by giving relation with the size of representative volume element RVE considering number of statistical random defects. Statistical analysis is carried out within the Mathcad code. Inverted honeycomb structures with randomly removed structural members under the typical statistical boundary conditions are considered. The study is achieved by conducting finite element calculation by means of ABAQUS FEA of the auxetic structure leading to obtaining the stiffness matrix and strength. Timoshenko beam elements are used for material microstructure discretization with special attention paid on relation of mesh density with results accuracy. Influence of geometric microstructural parameters on examples of variety of inverted honeycomb microstructures is studied. As result dependence of residual effective elastic moduli and strength on defects density for each microstructure is specified.
Małgorzata et al. (2026) studied this question.