Mechanical analysis of circular hole affected by rigidity in inhomogeneous medium under anti-plane shear wave

IF 3.8 2区工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2023-10-25 DOI:10.1007/s10409-023-23128-x

Jinlai Bian (, ), Zailin Yang (, ), Erasmo Carrera

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Abstract

Based on the theory of complex variable function, the propagation properties of anti-plane shear wave in inhomogeneous right-angle space are analysed. The inhomogeneity of the medium is reflected in the fact that the shear modulus is a function related to spatial coordinates. A displacement auxiliary function and a pair of mapping functions are introduced to assist in deriving the governing equation. Meanwhile, the transformation between coordinates can be more convenient in the complex coordinate system. The wave field expressions of reflected and scattering waves are constructed by using the image method. The unknown coefficients in the scattering waves are solved according to the boundary condition of the circular hole, and the analytical expressions of the wave field in the right-angle space are given. In dynamic analysis, rigidity can be expressed by shear modulus. In the analysis of numerical examples, the dependence of displacement amplitude and dynamic stress concentration factor (DSCF) on the inhomogeneous parameter, reference wave number, and the position of circular hole are discussed.

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反平面剪切波下非均质介质中受刚度影响的圆孔的力学分析

基于复变函数理论，分析了反平面剪切波在非均质直角空间中的传播特性。介质的不均匀性体现在剪切模量是一个与空间坐标相关的函数。研究引入了位移辅助函数和一对映射函数，以帮助推导控制方程。同时，在复坐标系中，坐标之间的转换更为方便。利用图像法构建了反射波和散射波的波场表达式。根据圆孔边界条件求解散射波中的未知系数，并给出直角空间波场的解析表达式。在动态分析中，刚度可用剪切模量表示。在数值实例分析中，讨论了位移振幅和动态应力集中因子（DSCF）与非均匀参数、参考波数和圆孔位置的关系。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics