Effect on dynamic stress distribution by the shape of cavity in continuous inhomogeneous medium under SH waves incidence

Abstract

Due to predetermined materials with continuous inhomogeneity is common in engineering, scattering of a noncircular cavity in continuous inhomogeneous solid medium is investigated in this work. Based on the methods of wave function expansion and complex function, the wave and stress fields in the medium is deduced. By applying the conformal mapping method, the noncircular cavity is mapped into a unit circle. Taking elliptical cavity as a special case, dynamic stress distribution at the interface of the cavity and in the solid medium around the cavity with different typical parameters is calculated and discussed.

Keywords:

• Wave propagation
• continuous inhomogeneous
• conformal mapping method
• predetermined material
• noncircular cavity
• dynamic stress concentration

Additional information

Funding

This work is funded by the National Natural Science Foundation of China (Grant No. 11872156), National Key Research and Development Program of China (Grant No. 2017YFC1500801) and the program for Innovative Research Team in China Earthquake Administration.