Dissertation
Dissertation > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Deformation solid dynamics > Stress wave > Elastic wave

Dynamic Stress Concentrations in Thin Plates with Circular Elastic Inclusion

Author ZhaoJiaXi
Tutor LiuDianKui
School Harbin Engineering University
Course Solid Mechanics
Keywords the thin plate structure circular elastic inclusion dynamic stress concentration complex variable method the scattering of the flexural wave
CLC O347.41
Type Master's thesis
Year 2006
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The thin plate structure often used in aerospace, aviation, shipping and civil construction facilities. In order to satisfy the engineering designing, circular elastic inclusion is popular in the plate. So, when the flexural wave incidences, the bending moment will change in another way. The scattering of the flexural and stress concentration will appear, which may damage the plates.The problem of elastic wave motion and dynamic stress concentration in infinite plates, because of its engineering importance, has been one of the subjects of many investigators. A number of analytic methods were established for the investigation of stress concentration. The problem of static stress concentration on the edge of an arbitrary cutout can be solved by Muskhelishvili’s method. Scattering of flexural waves and dynamic stress concentration in plate are different from static stress problem. In 1980’s, Liu DK solved the dynamic stress concentrations in the plates with the complex variable method.In this paper, based on the complex variable method, an analytic method to solve dynamic stress concentration in the plate with circular elastic inclusion is obtained. Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. As examples, numerical results for dynamic moment factors of plates with circular elastic inclusion are presented under different conditions and some discussions about influence of different parameters where the dynamic stress concentration factors have been made.

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