Scattering Of Sh-waves By A Subsurface Elastic Cylindrical Inclusion With A Partially Debonding Curve Near A Circular Cavity In Half-space

Researching the scattering of SH-waves and dynamic stress concentration factor by asubsurface elastic circular structure has great academic significance and distinct referencedvalue in practical project. The content in the paper belongs to the range of elastic dynamics.Based on the idea of “domain division” and “conjunction”, the problems of SH-wavesscattering by a subsurface elastic cylindrical inclusion with a partially debonding curve near acircular cavity in half-space and SH-waves scattering by two elastic cylindrical inclusion,which is researched by the methods of the function of complex variable method and themulti-polar coordinates method. The entire solution region is broke up into two sections, thesection two is one or two elastic cylindrical inclusion, and all of the rest is considered to bethe section one. Firstly, to construct a standing wave function in the cylindrical elasticinclusion which belongs to the section two, and the standing wave function must satisfies thatthe stress on the debonding curve is zero. Then the standing wave function is generated intothe Fourier series with the method of Fourier transform. Secondly, the incident wave functionand reflected wave function are constructed first, and then a scattered wave function isconstructed in the section one, which includes two circular cavities and satisfies the boundarycondition that the stress is zero at the horizontal free surface of the half space. Thirdly, the twoparts are conjoined on the junction interface in the half space, and the medium satisfies theboundary condition that the stress on the debonding curve is zero, at the same time the stressand the displacement on the common boundary are continuous. Then to construct a set ofinfinite algebraic equations which can solve this problem, and the finite terms of infinitealgebraic equations can be truncated. Lastly, the examples and computational results are given,and the results are discussed that the dynamic stress concentration factor could be influencedby the incident wave parameters, the parameters of elastic inclusion, the position ofdebonding curve, the distance of the elastic inclusion and the circular cavity, and the depth ofthe subsurface inclusion.