Elastic wave scattering in thick plates with a hole based on thick plates longitudinal vibration equation#br#
ZHOU Chuanping1,HU Chao2
1. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 300018, China;
2.College of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, China
Abstract：Based on longitudinal vibration equation of thick plates, using the complex functions and mapping method, elastic wave scattering and dynamic stress concentrations in thick plates with a hole were studied. Applying the orthogonal function expansion method, the problem to be solved was converted into solving a set of infinite algebraic equations. As an example, the numerical results for tension-compression elastic wave scattering and dynamic stress concentration factors in thick plates with an elliptic hole were computed. The results indicated that some parameters, such as, incident wave number, thickness of plates and elliptic eccentricity ratio have great effects on dynamic stress distributions and dynamic stress concentratuion factors of thick plates with a hole.
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