Dynamic stress concentrations in thick plates with two holes based on refined theory. (English) Zbl 1308.74098
Summary: Based on complex variables and conformal mapping, the elastic wave scattering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonal function expansion method. As examples, under free boundary conditions, the numerical results of the dynamic moment concentration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese.
MSC:
| 74K20 | Plates |
| 74A40 | Random materials and composite materials |
| 74G70 | Stress concentrations, singularities in solid mechanics |
| 74J20 | Wave scattering in solid mechanics |
| 74S70 | Complex-variable methods applied to problems in solid mechanics |
Keywords:
refined vibration equation; complex variable and conformal mapping method; two holes; elastic wave scattering and dynamic stress concentrations; thick plateReferences:
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