| SECOND ORDER EFFECTS IN AN ELASTIC HALF－SPACE ACTED UPON BY A NON－UNIFORM NORMAL LOAD |
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| 引用本文： | 刘又文,郭建林. SECOND ORDER EFFECTS IN AN ELASTIC HALF－SPACE ACTED UPON BY A NON－UNIFORM NORMAL LOAD[J]. 应用数学和力学(英文版), 1994, 15(12): 1149-1168. DOI: 10.1007/BF02451986 |
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| 作者姓名： | 刘又文 郭建林 |
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| 作者单位： | Liu You-wen (Department of Applied Mathematics and Mechanics，Cetral South University of Technology，Changsha，Hunan)Guo Jian-lin ( Department of Mathematics and Statistics，University of Windsor，Windsof Ontario，Canada N9B3P4) |
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| 摘 要： | ＳＥＣＯＮＤＯＲＤＥＲＥＦＦＥＣＴＳＩＮＡＮＥＬＡＳＴＩＣＨＡＬＦ－ＳＰＡＣＥＡＣＴＥＤＵＰＯＮＢＹＡＮＯＮ－ＵＮＩＦＯＲＭＮＯＲＭＡＬＬＯＡＤＬｉｕＹｏｕ－ｗｅｎ（刘又文）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈ...
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| 收稿时间： | 1994-01-05 |
Second order effects in an elastic half-space acted upon by a non-uniform normal load |
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| Liu You-wen,Guo Jian-lin. Second order effects in an elastic half-space acted upon by a non-uniform normal load[J]. Applied Mathematics and Mechanics(English Edition), 1994, 15(12): 1149-1168. DOI: 10.1007/BF02451986 |
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| Authors: | Liu You-wen Guo Jian-lin |
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| Affiliation: | 1. Department of Applied Mathematics and Mechanics, Cetral South University of Technology, Changsha, Hunan;2. Department of Mathematics and Statistics, University of Windsor, Windsof Ontario, Canada N9B3P4 |
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| Abstract: | A closed form solution to the second order elasticity problem ,when an isotropiccompressible elastic half-space undergoes a deformation owing to a non-uniformlydistributed normal load,is presented,The method of integral transform is employedand the case when loading is distributed,in accordance with Hertz'x law ,is discussed.The limiting solution for incompressible isotropic elastic material is also derived.Numerical calculations for the second order elastic material for the displacement and the normal stress in the z-direction are carried out .It is found that,in comparison to the linear elastic case,the displacement increases and the normal stress decreases in the second order elastic material. |
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| Keywords: | elastic half-space. second order elasticity problem. integraltransform |
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