Dynamic Nonstationary Processes in a Two-Layer Semi-Infinite Cylinder

Abstract Multilayer cylindrical structures are widely used in pipelines, chemical reactors, etc. The main objective of this work is to investigate dynamic nonstationary processes in a two-layer cylindrical body. A procedure for the numerical solution of the dynamic elasticity problem in terms of displacements using the finite difference method is considered. In this case, the numerical algorithm combines an explicit three-layer scheme for the system of equations of motion inside the domain with an implicit single-layer approximation of the boundary conditions. The process of elastic wave propagation under a sudden change in internal pressure caused by a longitudinal impact is described. The results of dynamic calculations for a two-layer cylindrical body for specific initial data are presented. Results are also given that shed light on certain features of the behavior of the two-layer cylinder during the first milliseconds. A methodology and an algorithm based on the numerical solution of the problem by the finite difference method have been developed. An example of the calculation of a two-layer pipe is presented.

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