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Diffraction of SV waves by a surface effective elliptic cavity

Hongjun Han and Liyuan Wang

Vol. 17 (2022), No. 1, 65–73

The dynamic stress concentration factor (DSCF) around a nanosized elliptic cavity is considered by adopting the conformal mapping method. The generalized Young–Laplace equation is used in the solution of stress boundary conditions on the interface. The DSCF along the interface of the elliptical cavity is numerically evaluated. With the changing of surface effects, the incident wave’s frequency and propagating angle, the degrees of dynamic stress concentration become more obvious on the interface. Our results can aid in analyzing the mechanical properties of defective nanocomposites. The proposed method can better solve the scattering problem of variable curvature on elastic substrates.

surface effects, conformal mapping, variable curvature, dynamic stress concentration factor, elliptic cavity
Received: 15 June 2021
Revised: 19 August 2021
Accepted: 21 September 2021
Published: 23 October 2022
Hongjun Han
Lanzhou Technology and Business College
Liyuan Wang
School of Science
Lanzhou University of Technology