In this study, we investigated the dynamic stress concentration factor of single circular inclusion shallow buried in surface softlayered half space impacted by steady SH-wave using the complex variable function method and the wave function expansion method, and obtained the analytical solution. Based on the attenuation characteristic of SH-Wave scattering and using the large-arc assumption method, we converted the problem of the layer half space linear boundary to that of the circle boundary and, by an example, analyzed the influence of different incident wave numbers and the ratios of the circular inclusion to the half space on the distribution of the dynamic stress concentration factor and on the change of the maximum dynamic stress concentration when the incident SH-wave is vertical. Numerical examples show that the "softer" the circular inclusion, the greater its wave number of circular inclusions, and the larger the dynamic stress concentration factor around the circular inclusion; the maximum dynamic stress concentration factor around circular inclusion reaches its maximum value when the number of the incident SH-wave approaches 0.35.
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