| Convergence of the Solution to General Viscoelastic Koiter Shell Equations |
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| 作者姓名： | Fu Shan LI |
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| 作者单位： | School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P. R. China and Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （No.10271030） and Foundation of Qufu Normal University for Ph.D. |
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| 摘 要： | By applying the inequality of Korn＇s type without boundary conditions on a general surface, we prove that the scaled displacement of the two-dimensional linearly viscoelastic Koiter＇s shell converges to the solution of two-dimensional model system of linearly viscoelastic ＂membrane＂ shell.
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| 关 键 词： | 隔膜 壳层 黏性 收敛作用 求解 |
| 收稿时间： | 16 August 2005 |
| 修稿时间： | 2005-08-16 |
Convergence of the Solution to General Viscoelastic Koiter Shell Equations |
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| Fu Shan LI.Convergence of the Solution to General Viscoelastic Koiter Shell Equations[J].Acta Mathematica Sinica,2007,23(9):1683-1688. |
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| Authors: | Fu Shan Li |
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| Institution: | (1) School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, P. R. China;(2) Institute of Mathematics, Fudan University, Shanghai, 200433, P. R. China |
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| Abstract: | By applying the inequality of Korn’s type without boundary conditions on a general surface, we prove that the scaled displacement
of the two-dimensional linearly viscoelastic Koiter’s shell converges to the solution of two-dimensional model system of linearly
viscoelastic “membrane” shell.
Supported by National Natural Science Foundation of China (No.10271030) and Foundation of Qufu Normal University for Ph.D. |
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| Keywords: | Koiter's shells Korn's inequality membrane shells |
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