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Liu, D., Gai, B. and Tao, G. (1982) Applications of the Method of Complex Functions to Dynamic Stress Concentrations. Wave Motion, 4, 293-304.
https://doi.org/10.1016/0165-2125(82)90025-7

has been cited by the following article:

• TITLE: Using Refined Theory to Studied Elastic Wave Scattering and Dynamic Stress Concentrations in Plates with Two Cutouts

  AUTHORS: Xujiao Yang, Zihe Li, Haoyu Liu

  KEYWORDS: Refined Vibration Equation of Plate Bending, Complex Variable and Conformal Mapping Method, Two Holes, Elastic Wave Scattering and Dynamic Stress Concentrations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 24, 2020

  ABSTRACT: In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied. Applying the orthogonal function expansion method, the problem to be solved can be reduced into the solution of a set of infinite algebraic equations. According to free boundary conditions, numerical results of dynamic moment concentration factors in thick plates with two circular cutouts analyze that: there will be more complex interaction changes between two-cutout situation than single cutout situation. In the case of low frequency or high frequency and thin plate, the hole-spacing in the absence of coupling interactions was larger or smaller. The numerical results and method can be used to analyze the dynamics and strength of plate-like structures.