Abstract
The work suggests a mathematical model of deforming textile composite materials (TCMs) based on aramid fibres under the punching load. This model takes account of peculiarities of deformation characteristics of the considered class of composites: the possibility of deforming without failure at finite deformations, a considerable difference between diagrams of deforming under tension and under compression, a dependence of the diagrams on a loading rate, the presence of pseudoplastic properties of materials caused by pulling threads from the fabric etc. Viscoelastic features of aramid fibres are taken into account as well. In addition, the model considers the damage and breakage of fibres in textile composites in their punching. A problem statement is formulated for dynamic deforming of textile composites. To solve the problem in its two-dimensional statement we applied the band adaptive grid method. The problem on punching a textile composite shield by a hard striker was solved numerically, and the computed results were compared with experimental data on punching the aramid textile composite plates.
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