Dynamic problem for a viscoelastic hollow cylinder with coaxial elastic inclusionстатья
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Дата последнего поиска статьи во внешних источниках: 29 ноября 2022 г.
Аннотация:AbstractA problem of non-stationary longitudinal wave propagation in the cross-sectionof an infinite hollow linear-viscoelastic cylinder with coaxial elastic inclusionis considered. On the contact surfaces between the layers, continuityof displacements and stresses is assumed. The solution of the problem is constructedusing the integral Laplace transform in time with subsequent reversal.For the case when each of the relaxation kernels is a finite sum of exponentials,the original is presented as a series of residues. Thus, the process ofconstructing a non-stationary solution is reduced to the search for the roots ofthe characteristic transcendental equation. The derived solution allowed to investigatethe transient wave propagation in a viscoelastic cylinder with coaxialelastic inclusion with specified initial data.