Propagation Speed Simulation of Waves in Polymer Auxetics

The article aims to study the change in vibration-absorbing characteristics of open-cell foam in the presence of auxetic properties based on the developed analytical approach of speed analysis within the framework of Cosserat elasticity. The apparatus of wave mechanics was applied to solve the given problem. This made it possible to obtain analytical formulas for evaluating shear-rotational waves in foam with different internal microstructures. Numerical results confirm the significant change in shear-rotation wave velocity in a foam with a re-entrant microstructure compared to a porous honeycomb cell. The use of analytical approaches and direct application of the basic principles of wave mechanics made it possible to obtain research formulas that can be used for a wide range of frequencies. The developed approach can be used to predict mechanical behavior and optimize the mechanical characteristics of materials with a negative Poisson ratio. The practical significance of the research results lies in the possibility of using the proposed approach to estimate the degree of compression of foam materials to ensure optimal values of the mechanical and vibration-absorbing characteristics of the obtained foam materials.