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Meccanica

, Volume 54, Issue 15, pp 2411–2420 | Cite as

Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave

  • Guanxixi Jiang
  • Zailin YangEmail author
  • Cheng Sun
  • Xinzhu Li
  • Yong Yang
Article
  • 55 Downloads

Abstract

Dynamic stress concentration factor around a cylindrical cavity which is in vertically inhomogeneous half space is investigated by applying complex function method and multi-polar coordinates system. The mass density of the half space is inhomogeneous while the shear modulus is a constant. Utilizing conformal mapping method, the governing equation with variable coefficients is transformed to be a normalized Helmholtz equation. Then, incident wave, reflected wave and scattering wave in the half space are obtained. With the help of the boundary condition at the cylindrical cavity, the undetermined coefficients in scattering wave are solved. Then, dynamic stress concentration factor with different influencing parameters around the cavity is calculated and discussed.

Keywords

SH wave scattering Complex function method Multi-polar coordinates system Vertical exponentially inhomogeneous Dynamic stress concentration factor (DSCF) 

Notes

Acknowledgements

This work is supported 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.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbinChina
  2. 2.Key Laboratory of Advanced Material of Ship and Mechanics, Ministry of Industry and Information TechnologyHarbin Engineering UniversityHarbinChina

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