Comparative evaluation of mathematical models of polymer composite material with the implementation of a three-dimensional stress–strain state in the simulation of impact

Abstract

Accidental mechanical damage resulting from impact on the structure of the aircraft during its operation can lead to both easily detectable (visible impact damage—VID) and non-detectable damage during visual inspection production or operational damage (barely visible impact damage—BVID). At the same time, for each category of damage, strength from the required loads must be provided, so, for example, for damage of the first category (BVID), static strength from the design load must be provided throughout the entire service life. The provision of this requirement is carried out by experimental and computational methods. To carry out numerical calculations using the finite element method (FEM), it is necessary to use the PCM model, which will allow reproducing the damage resulting from the impact with high accuracy. Currently, monolayer strength criteria based on the implementation of a plane stress–strain state (PSSS), which takes into account only the components of the stress tensor in the plane of the layer, are widely used. But in case of impact, the direction from the layer also plays an important role. The scientific novelty of the proposed mathematical model of polymer composite material (PCM) is the addition of a monolayer strength criterion for volumetric FE, taking into account the direction from the plane of the layer. In this paper, a comparative assessment of the strength criteria for PCM in the simulation of impact was carried out Hu et al. (Polymers 14: 2946, 2022), Wang et al. (3D Progressive damage modeling for laminated composite based on crack band theory and continuum damage mechanics, 2015). Models with layer-by-layer modeling of a PCM sample with a cohesive interface between layers were developed to account for delaminations arising from impact Falcó et al. (Composite Structures 190: 137-159, 2018).