On Torsion of Functionally Graded Elastic Beams
The evaluation of tangential stress fields in linearly elastic orthotropic Saint-Venant beams under torsion is based on the solution of Neumann and Dirichlet boundary value problems for the cross-sectional warping and for Prandtl stress function, respectively. A skillful solution method has been rec...
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Hindawi Limited
2016-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/8464205 |
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doaj-154e16682cc042bbb1c2c77ea91747012020-11-24T21:06:47ZengHindawi LimitedModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/84642058464205On Torsion of Functionally Graded Elastic BeamsMarina Diaco0Department of Structures for Engineering and Architecture, University of Naples Federico II, via Claudio 21, 80125 Naples, ItalyThe evaluation of tangential stress fields in linearly elastic orthotropic Saint-Venant beams under torsion is based on the solution of Neumann and Dirichlet boundary value problems for the cross-sectional warping and for Prandtl stress function, respectively. A skillful solution method has been recently proposed by Ecsedi for a class of inhomogeneous beams with shear moduli defined in terms of Prandtl stress function of corresponding homogeneous beams. An alternative reasoning is followed in the present paper for orthotropic functionally graded beams with shear moduli tensors defined in terms of the stress function and of the elasticity of reference inhomogeneous beams. An innovative result of invariance on twist centre is also contributed. Examples of functionally graded elliptic cross sections of orthotropic beams are developed, detecting thus new benchmarks for computational mechanics.http://dx.doi.org/10.1155/2016/8464205 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Marina Diaco |
| spellingShingle |
Marina Diaco On Torsion of Functionally Graded Elastic Beams Modelling and Simulation in Engineering |
| author_facet |
Marina Diaco |
| author_sort |
Marina Diaco |
| title |
On Torsion of Functionally Graded Elastic Beams |
| title_short |
On Torsion of Functionally Graded Elastic Beams |
| title_full |
On Torsion of Functionally Graded Elastic Beams |
| title_fullStr |
On Torsion of Functionally Graded Elastic Beams |
| title_full_unstemmed |
On Torsion of Functionally Graded Elastic Beams |
| title_sort |
on torsion of functionally graded elastic beams |
| publisher |
Hindawi Limited |
| series |
Modelling and Simulation in Engineering |
| issn |
1687-5591 1687-5605 |
| publishDate |
2016-01-01 |
| description |
The evaluation of tangential stress fields in linearly elastic orthotropic Saint-Venant beams under torsion is based on the solution of Neumann and Dirichlet boundary value problems for the cross-sectional warping and for Prandtl stress function, respectively. A skillful solution method has been recently proposed by Ecsedi for a class of inhomogeneous beams with shear moduli defined in terms of Prandtl stress function of corresponding homogeneous beams. An alternative reasoning is followed in the present paper for orthotropic functionally graded beams with shear moduli tensors defined in terms of the stress function and of the elasticity of reference inhomogeneous beams. An innovative result of invariance on twist centre is also contributed. Examples of functionally graded elliptic cross sections of orthotropic beams are developed, detecting thus new benchmarks for computational mechanics. |
| url |
http://dx.doi.org/10.1155/2016/8464205 |
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AT marinadiaco ontorsionoffunctionallygradedelasticbeams |
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