HU Chao, ZHOU Chuan-ping, TONG Guang-qing, LIU Dian-kui. Dynamic Stress Concentrations in Stretching Plates by Using the Refined Dynamic Theory[J]. Applied Mathematics and Mechanics, 2013, 34(4): 364-372. doi: 10.3879/j.issn.1000-0887.2013.04.005
 Citation: HU Chao, ZHOU Chuan-ping, TONG Guang-qing, LIU Dian-kui. Dynamic Stress Concentrations in Stretching Plates by Using the Refined Dynamic Theory[J]. Applied Mathematics and Mechanics, 2013, 34(4): 364-372.

# Dynamic Stress Concentrations in Stretching Plates by Using the Refined Dynamic Theory

##### doi: 10.3879/j.issn.1000-0887.2013.04.005
• Rev Recd Date: 2013-03-08
• Publish Date: 2013-04-15
• In the past, the solution of elasticity plane problems is often used to investigate stress concentrations for the engineering design instead of solution of stretching plates. For example, Kirsch’s solution and the solution of elastodynamics plane problems. Based on the refined dynamic equation of stretching plates, elastic wave scattering and dynamic stress concentrations in plates with a circular cutout were studied. Numerical results demonstrated that dynamic stress concentration factors in stretching plates were different from the one which were obtained by elasticity plane problems and dynamic stress concentration factors trended to unit 1 at the high frequency of incident waves. The dynamic stress concentration factor of stretching plates with cutouts is up to a maximum of 3.30, and the one is 2.77 by using plane problem of elastic dynamics. The comparison of the numerical results was made and discussed. It is showed that as the cutout radius ratio to the thickness is smaller a/h=0.10,using the refined equation the dynamic moment factor may approach to the maximum value, which is more 19% than the result from the solution of plane problems of elastic dynamics. The results are more accurate because the refined equation of plates stretching is derivative without using any engineering hypotheses. The numerical results and the method can be used to analyze the dynamics and strength of platelike structures.
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