Saint-Venant torsion of cylindrical orthotropic elliptical cross section

• Published in: Mechanics research communications Vol. 99; pp. 42 - 46
• Main Authors: Ecsedi, István, Baksa, Attila
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-07-2019
• Subjects: Complementary energy; Cylindrical orthotropy; Potential energy; Saint-Venant torsion; Torsional rigidity; Upper and lower bounds; Potential energy; Complementary energy; Torsional rigidity; Saint-Venant torsion; Cylindrical orthotropy; Upper and lower bounds
• ISSN: 0093-6413; 1873-3972
• DOI: 10.1016/j.mechrescom.2019.06.006

Highlights•Saint-Venant torsion of cylindrical orthotropic solid elliptical cross section.•Appropriate analytical solution for torsion and Prandtl stress functions.•Upper and lower bounds for the torsional rigidity.
This paper deals with the Saint-Venant torsion of elastic cylindrical orthotropic solid elliptical cross section. The origin of the cylindrical anisotropy coincides with the centroid of the elliptical cross section. By the use of principle of minimum of potential energy and principle of minimum of complementary energy approximate analytical solutions are derived for the torsion function and for the Prandtl’s stress function. Obtained upper and lower bounds for the torsional rigidity show the accuracy of the derived approximate analytic solutions.