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A solution of torsional problem by energy method in case of anisotropic cross-section

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Abstract

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.

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Correspondence to Pascal Swider.

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Swider, P., Briot, J. & Estivalèzes, E. A solution of torsional problem by energy method in case of anisotropic cross-section. Arch Appl Mech 81, 801–808 (2011). https://doi.org/10.1007/s00419-010-0450-7

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  • DOI: https://doi.org/10.1007/s00419-010-0450-7

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