Method of Assessing the Optimality of the Mechanical Characteristics of Foams

The article is devoted to developing a method for assessing the optimality of the mechanical characteristics of foam materials based on using the Cobb-Douglas model within the framework of Cosserat mechanics. The results of experimental studies for foamed polymer materials with closed cells were used for modeling. The Cobb-Douglas model used for modeling allows accounting for the nonlinear dependence of the Shear modulus on the density and cell sizes of the material. The developed approach allows the evaluation of the influence of material density and pore sizes on changes in shear-rotational waves in the medium. Based on the approaches proposed in the work, the analytical-numerical modeling method is convenient and practical for foam, porous, and other structurally heterogeneous materials. The advantage of this approach is the ability to evaluate the mechanical characteristics of foam-structure materials widely used in production without special laboratory tests. This approach significantly expands the scope of the application of foamed polymers.