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Stresses under Tension in a Plate with a Heterogeneous Insertion.
https://jaxa.repo.nii.ac.jp/records/35457
https://jaxa.repo.nii.ac.jp/records/35457d8927fb7-3b9f-47af-b089-fa152344f961
| 名前 / ファイル | ライセンス | アクション |
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SA4146999.pdf (449.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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| 公開日 | 2015-03-26 | |||||||||
| タイトル | ||||||||||
| タイトル | Stresses under Tension in a Plate with a Heterogeneous Insertion. | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 著者 |
SEZAWA, Katsutada
× SEZAWA, Katsutada
× NISHIMURA, Genrokuro
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| 出版者 | ||||||||||
| 出版者 | 東京帝國大學航空研究所 | |||||||||
| 出版者（英） | ||||||||||
| 出版者 | Aeronautical Research Institute, Tokyo Imperial University | |||||||||
| 書誌情報 |
東京帝國大學航空研究所報告 en : Report of Aeronautical Research Institute, Tokyo Imperial University 巻 6, 号 68, p. 25-43, 発行日 1931-04 |
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| 抄録（英） | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | The object of this investigation is to study mathematically the effect of heterogeneous insertion in a material of construction upon its mechanical properties. For this purpose, the authors make a full examination of stress distribution in an elastic plate which has a heterogeneous insertion of a circular form and is subjected to a uniform tension acting parallel to the plane of the plate. The cementing between the inserted material and the plate itself is assumed to be perfect. For obtaining the solution of the problem most simply, a method is devised in which the displacements of the elements of a strained body are in the first place decomposed into three independent components and afterwards they are combined suitably so as to satisfy the given boundary conditions. The first component is such a one which has a direct connection with the dilatational deformation and is independent of the rotation of the body, and the second, on the contrary, depends upon the rotation but not upon the dilatation, while the third is connected neither with the dilatation nor with the rotation. From the results of the present calculation, it is shown that all the stresses in the inserted material are constant along a radius but not along an azimuthal direction whether or not the elastic constant of the plate is larger than that of the inserted material. When the inserted material is more rigid than the surrounding one, the stresses in the surrounding in the neighbourhood of the cemented boundary are small except the radial components of stress in the immediate vicinity of θ=0 and π, where θ=0 corresponds to the direction of the uniform tension applied. In the reversed case, where the surrounding material is more rigid than the included, the stresses are mainly accumulated in the former especially in the neighbourhood of the boundary. For several years Professor Iwamoto has studied an interesting problem of the microspic construction of some woods and recently he has discovered the fact that their medullary rays play an important role on the structural strength of those woods. In connection with this fact he kindly adviced us to solve the problem of a plate with a heterogeneous insertion. Although one of us has already treated of the case where a spherical cavity of an elastic solid is imbedded with a heterogeneous material and the contacting surface of the spherical boundary is perfectly cemented, yet a similar problem in two dimensions has not yet been solved. The problem of the stress distribution, nevertheless, in a plate having a circular hole filled with a plug of the same material as that plate was dealt with long ago by Professor Suyehiro. As he seemed to aim at the investigation of a riveted construction, the conditions of the circular boundary of the hole were somewhat different from those of the present case. Professor Suyehiro's assumption on the boundary conditions seems to be mathematically sufficient, and also most favourable to his occasion. Moreover it is impossible to extend our problem to his case where the inner and outer media have the same elastic constants and the contacting boundary is tangentially slidable. | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00387631 | |||||||||
| 資料番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 資料番号: SA4146999000 | |||||||||
