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Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars |
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| Authors: | István Ecsedi |
| Institution: | 1. LEM3 (UMR-CNRS 7239), Université de Lorraine, Ile du Saulcy, Metz-Cedex 1 57045, France;2. Laboratory of Excellence on Design of Alloy Metals for Low-mass Structures (Labex Damas), Université de Lorraine, Metz-Cedex 1 57045, France;3. School Materials Science and Engineering, The University of New South Wales, Sydney, NSW 2052, Australia |
| Abstract: | The Saint-Venant torsion problem of linearly elastic cylindrical bars with solid and hollow cross-section is treated. The shear modulus of the non-homogeneous bar is a given function of the Prandtl's stress function of considered cylindrical bar when its material is homogeneous. The solution of the torsional problem of non-homogeneous bar is expressed in terms of the torsional and Prandtl's stress functions of homogeneous bar having the same cross-section as the non-homogeneous bar. |
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