On the cross section of minimum stress concentration in the Saint-Venant theory of torsion

DOI10.1007/BF00041079zbMath0528.73013MaRDI QIDQ786571

Lewis T. Wheeler, Lawrence E. Payne

Publication date: 1984

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

expressed in terms of applied torque and cross- sectional areaisoperimetric boundisoperimetric upper bounds for minimum value of stress at boundary pointslower bound for maximum stresssimply- connected cross sectiontorsion of cylindrical solids

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (2)

A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function ⋮ Towards optimal gradient bounds for the torsion function in the plane

Cites Work

• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item

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