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This paper demonstrates the derivation of the equations previously proposed for an 'elastic' buckle propagation in a pipeline subjected to bending under axial tension and hydrostatic side pressure. Formulation is given for a thin cylindrical shell of infinite length in such a way that bending gives rise to a geometrically large but elastic deflection so that a significant cross-sectional deformation takes place. For simplicity, a material behavior of the pipe is assumed by Hooke's law. On the basis of the three-dimensional theory of nonlinear elasticity, the derivation utilizes the asymptotic-expansion method in terms of the thickness-coordinate of the pipe, combined with a Fourier expansion in the circumferential direction and a 'long-wave approximation' in the axial direction. Derived are the nonlinear wave equations which couple the beam-flexural mode with the ring-flexural mode. A further simplification and a physical significance of the equations thus derived are discussed.
収録刊行物
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- JSME international journal. Ser. 1, Solid mechanics, strength of materials
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JSME international journal. Ser. 1, Solid mechanics, strength of materials 32 (4), 498-507, 1989
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390001205433571968
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- NII論文ID
- 110002348320
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- NII書誌ID
- AA10680585
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- ISSN
- 09148809
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可