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The effect of initial stresses on harmonic stress fields within the stratified half-plane. (English) Zbl 1049.74016

From the summary: We investigate the effect of initial stresses on dynamic (harmonic) stress fields within an elastic stratified half-plane. It is assumed that the point-located harmonic force acting on the free plane of the layer by which the half-plane is stratified causes this stress field. By employing displacement potentials and exponential Fourier transform, the governing system of partial differential equations of motion is solved. The necessary inverse transformations including rigorous mathematical complexity are performed numerically. The analysis of numerical results, which shows the influence of homogeneous initial stresses on the distribution of stresses on the inter-medium plane, is made.

MSC:

74E05 Inhomogeneity in solid mechanics
74B05 Classical linear elasticity
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