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| HAL: hal-00498757, version 1 |
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| Mathematics and Mechanics of Solids (1996) 8 |
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| An Extension of Kelvin and Bredt Formulas |
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Francesco Dell'Isola 1, 2Luigi Rosa 3 |
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| (1996) |
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| In dell'Isola and Ruta, and dell'Isola and Rosa is suggested a "perturbative approach" (Nayfeh; Trabucho and Viano) to the Saint-Venant problem for thin cross sections, however, the papers deal with closed cross section or with cross section of constant thickness only (see also Wheeler and Horgan). Here we generalize the proposed procedure by giving a method for treating the case of open or closed sections of variable thickness. We find all the known formulas (Trabucho and Viano; Feodosyev; Chase and Cliver; Baldacci) due to Kelvin and Bredt as first non-vanishing-terms of our perturbative development and give the corrections to these formulas, too. This seems to be a first step toward solving the open problem formulated in Trabucho and Viano, pp. 162-164. |
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| 1: | Dipartimento di Ingegneria Strutturale e Geotecnica |
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Universita di Roma "La Sapienza" |
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| 2: | Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita |
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Cisterna di Latina |
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| 3: | Dipartimento di Scienze Fisiche |
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Universita di Napoli Federico II |
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| Subject | : | Engineering Sciences/Mechanics |
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| Attached file list to this document: | |||||
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| hal-00498757, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00498757 | |
| oai:hal.archives-ouvertes.fr:hal-00498757 | |
| From: Francesco Dell'Isola | |
| Submitted on: Thursday, 8 July 2010 13:38:16 | |
| Updated on: Saturday, 17 July 2010 11:57:32 | |
