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| Mathematical Justification of an ObstacleProblem in the Case of a Plate |
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Citation： |
Yan GUAN.Mathematical Justification of an ObstacleProblem in the Case of a Plate[J].Chinese Annals of Mathematics B,2017,38(5):1047~1058 |
| Page view： 2871
Net amount： 1300 |
Authors： |
Yan GUAN; |
Foundation： |
Project supported by the Innovation Program of Shanghai
Municipal Education Commission (No.11YZ80) and the Program of
Shanghai Normal University (No.SK201301). |
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| Abstract： |
In this paper the modeling of a thin plate in unilateral contact
with a rigid plane is properly justified. Starting from the
three-dimensional nonlinear Signorini problem, by an asymptotic
approach the convergence of the displacement field as the thickness
of the plate goes to zero is studied. It is shown that the
transverse mechanical displacement field decouples from the in-plane
components and solves an obstacle problem. |
Keywords： |
Signorini problem, Obstacle problem, Asymptotic analysis, Plate |
Classification： |
35A15, 35J20, 35J47 |
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