Optimisation of the torsional rigidity of axisymmetric hollow shafts
β Scribed by J.P. Curtis; L.J. Walpole
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 359 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0020-7683
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## Abstract A wellβknown problem in elasticity consists in placing two linearly elastic materials (of different shear moduli) in a given plane domain Ξ©, so as to maximize the torsional rigidity of the resulting rod; moreover, the proportion of these materials is prescribed. Such a problem may not h
For the equation of torsional rigidity, using the unique continuation of analytic function, we get a sharp minimum principle for a combination of the solution and its gradient. As an application, a lower bound for the minimum stress on the boundary is obtained.