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Wave Propagation in Nonlinear-elastic Isotropic Media : Two-Dimensional Case
https://doi.org/10.15083/0000032774
https://doi.org/10.15083/0000032774fc81a507-ec43-47db-9810-ebdcb9ab5cf0
名前 / ファイル | ライセンス | アクション |
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ji0652001.pdf (840.7 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-05-30 | |||||
タイトル | ||||||
タイトル | Wave Propagation in Nonlinear-elastic Isotropic Media : Two-Dimensional Case | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15083/0000032774 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | 非線形等方性弾性体における波の伝播 | |||||
著者 |
Momoi, Takao
× Momoi, Takao |
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著者別名 | ||||||
識別子 | 127454 | |||||
識別子Scheme | WEKO | |||||
姓名 | 桃井, 高夫 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Wave propagation in the nonlinear-elastic isotropic media was analyzed in a two-dimensional case. In the analysis, governing equations take into account both the physical nonlinearity caused by the stress-strain relation and the geometric nonlinearity resulting from the quadratic strain-displacement relation. The equations obtained are numerically evaluated by use of the extended finite difference method expanded in Taylor series. The wave sources have a form of mountain ridge with a width -2<hx<2, where hx is a distance x normalized by wave number h of P waves in the linear theory. The waves generated are then aperiodic. Only soliton-like or step-shaped simple waves (after gas-dynamics) are found numerically. Existence of these waves are also confirmed analytically by use of the second order theory. Unlike the linear theory, the velocity of the simple waves in the nonlinear theory is not exactly the same as that of P or S waves in the linear theory relying on the elastic media. Advancing speed of the waves depends on the gradient of the front simple wave. In simple waves with large amplitude, the u component (in the direction of the propagation) is more remarkably dispersed than the transverse component. This phenomenon is likely to be observed at a great distance as the P wave dispersion instead of simple wave dispersion. | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 非線形等方性矧生体において,エネルギー関数,非線形歪-応力テンソル,非線形歪テンソルを用い,変位微分の三次項まで含む非線形動的方程式(Nonlinear dynamic equation)が導入された. | |||||
書誌情報 |
東京大學地震研究所彙報 = Bulletin of the Earthquake Research Institute, University of Tokyo 巻 65, 号 2, p. 413-432, 発行日 1990-09-28 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00408972 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00162258 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 453 | |||||
主題Scheme | NDC | |||||
出版者 | ||||||
出版者 | 東京大学地震研究所 | |||||
出版者別名 | ||||||
Earthquake Research Institute, University of Tokyo |