Saint-Venant torsion of cylindrical orthotropic elliptical cross section

Saint-Venant torsion of cylindrical orthotropic elliptical cross section

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 so...

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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
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Abstract 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.
AbstractList 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.
Author Baksa, Attila
Ecsedi, István
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Keywords Potential energy
Complementary energy
Torsional rigidity
Saint-Venant torsion
Cylindrical orthotropy
Upper and lower bounds
Language English
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Snippet Highlights•Saint-Venant torsion of cylindrical orthotropic solid elliptical cross section.•Appropriate analytical solution for torsion and Prandtl stress...
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SubjectTerms Complementary energy
Cylindrical orthotropy
Potential energy
Saint-Venant torsion
Torsional rigidity
Upper and lower bounds
Title Saint-Venant torsion of cylindrical orthotropic elliptical cross section
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