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| THE EFFECT OF BOUNDARY SHAPE ON BOUNDARY LAYER OF P-MODEL PLATEPROBLEMS WITH HARD SIMPLY SUPPORT |
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Citation： |
Li Likang,Chen Jiuhua.THE EFFECT OF BOUNDARY SHAPE ON BOUNDARY LAYER OF P-MODEL PLATEPROBLEMS WITH HARD SIMPLY SUPPORT[J].Chinese Annals of Mathematics B,1996,17(4):421~434 |
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Net amount： 709 |
Authors： |
Li Likang; Chen Jiuhua |
Foundation： |
the Doctoral Point Foundation of Chinese University and in part by State Major Key Project for Basis Researches of China |
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| Abstract： |
The paper shows that, for a unit circular plate, Reissner-Mindlin plate model with hard simply support does not capture the boundary layer behaviour for the bending moment when the load is independent of $\theta$, where $(r, \theta)$ is the polar coordinates in plane. In contrast p-model shows this boundary layer, which is proved theoretically and numerically. But for the case when the boundary is a straight line, the boundary layer for p-model is weak and disappears as the plate thickness tends to zero. |
Keywords： |
Reissner-Mindlin plate, P-model plate, Boundary
layer, Hard simply support |
Classification： |
73K10, 35B25 |
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