A solution of torsional problem by energy method in case of anisotropic cross-section
| Autor: | Pascal Swider, Erik Estivalèzes, Jérôme Briot |
|---|---|
| Přispěvatelé: | Centre National de la Recherche Scientifique - CNRS (FRANCE), Institut National Polytechnique de Toulouse - INPT (FRANCE), Université Toulouse III - Paul Sabatier - UT3 (FRANCE), Centre Hospitalier Universitaire de Toulouse - CHU Toulouse (FRANCE), Institut de mécanique des fluides de Toulouse (IMFT), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Hôpital Purpan [Toulouse], CHU Toulouse [Toulouse], Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) |
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Torsion
Stress function Mechanical Engineering Mécanique des fluides Mathematical analysis Energy method Stiffness Torsion (mechanics) Strain energy density function Geometry 02 engineering and technology [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 021001 nanoscience & nanotechnology 020303 mechanical engineering & transports Anisotropic material properties 0203 mechanical engineering medicine Trigonometric functions medicine.symptom 0210 nano-technology Anisotropy Parametric statistics Mathematics |
| Zdroj: | Archive of Applied Mechanics Archive of Applied Mechanics, Springer Verlag, 2011, 81 (6), pp.801-808. ⟨10.1007/s00419-010-0450-7⟩ |
| ISSN: | 0939-1533 1432-0681 |
| DOI: | 10.1007/s00419-010-0450-7⟩ |
| Popis: | International audience; We proposed an original method to investigate the problem of torsion of anisotropic cross-section. We implemented an energy method to calculate the stress function represented by infinite series of trigonometric functions adapted to rectangular cross-section. After validation, we implemented a parametric sensitivity study to investigate the influence of the cross-section aspect ratio and the anisotropy level on the stress function, the strain energy density and the torsion stiffness. The process showed a fast convergence with a very good accuracy. The model showed a potential interest for the experimental identification of anisotropic material properties. |
| Databáze: | OpenAIRE |
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