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Information × Registration Number 0221U105492, 0119U103784 , R & D reports Title An approximate solutions construction for nonlinear problems of harmonic and single waves propagation in elastic materials popup.stage_title Head Rushchitskii Iarema Ya., Доктор фізико-математичних наук Registration Date 12-07-2021 Organization S.P.Timoshenko Institute of Mechanics popup.description2 A technique for constructing and analyzing mechanical models of single wave propagation has been developed and adapted to the solution of wave equations, based on the application of the approximate method of restriction to the deformation gradient to the wave equations. Procedures for constructing a nonlinear theory of elasticity based on the five-constant Murnagan model and obtaining nonlinear wave equations describing the propagation of plane waves are presented. A new approach to the theoretical and numerical analysis of the propagation of a nonlinearly elastic flat single longitudinal wave using an approximate method for finding the solution of a nonlinear wave equation by converting this equation and limiting it to the displacement gradient has been developed. Product Description popup.authors Hamsheieva Olena A. Diachenko Kseniia O. Dashko Olha G. Mikhailuk Tetiana P. Savelieva Kateryna V. Khotenko Iryna M. Khotenko Olena O. Yurchuk Vasyl M. popup.nrat_date 2021-07-12 Close