The regularities of longitudinal wave propagation in the direction perpendicular to layers in a nanocomposite in the presence of initial stresses in the wave direction are studied. The composite consists of two periodically repeated material layers. The behavior of nonlinearly elastic materials of the layers is described with the Murnaghan potential. The finite strain elasticity theory is used to simulate the wave propagation. On its basis, the problem statement is elaborated in the frame of three-dimensional linearized elasticity theory in the presence of finite initial strains. The linear dependence of the normalized wave velocity on small initial stresses is obtained. It is shown that there exist such values of the layer thicknesses ratio for some composites that the wave velocity does not depend on the initial stress level.

• Жук Ярослав Олександрович (1967–) (фізико-математичні науки)
• Гузь Ігор Олександрович (1967–) (фізико-математичні науки)

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