Determination of Stress-Strain State in Layered Structures Made of Isotropic and Transversally Isotropic Materials for the Case of Source of the Elastic Waves Inside a Layer Package

The article describes matrix representations of the displacements, stresses, and deformations in layered isotropic and transversely isotropic structures for the case of elastic wave sources, located inside a layer package. The calculated relationships are based on the generalized method of scalarization of dynamic elastic fields, developed by V.P. Sizov [1] and implemented in original software. The noted results were used to simulate the process of diagnosing the state of plane-layered structures made of isotropic and transversally isotropic materials using the acoustic active method of non-destructive testing.