The Generalized Twist for the Torsion of Piezoelectric Cylinders
In the classical theory of elasticity, Truesdell proposed the following problem: for an isotropic linearly elastic cylinder subject to end tractions equipollent to a torque T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/3634520 |
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| _version_ | 1832563657032073216 |
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| author | István Ecsedi Attila Baksa |
| author_facet | István Ecsedi Attila Baksa |
| author_sort | István Ecsedi |
| collection | DOAJ |
| description | In the classical theory of elasticity, Truesdell proposed the following problem: for an isotropic linearly elastic cylinder subject to end tractions equipollent to a torque T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond to the solutions of the torsion problem and K depends only on the cross-section and the elastic properties of the considered cylinder. This problem has been solved by Day. In the present paper Truesdell’s problem is extended to the case of piezoelastic, monoclinic, and nonhomogeneous right cylinders. |
| format | Article |
| id | doaj-art-b8c9faaad3324818b2908d74196ff216 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-b8c9faaad3324818b2908d74196ff2162025-02-03T01:12:53ZengWileyModelling and Simulation in Engineering1687-55911687-56052017-01-01201710.1155/2017/36345203634520The Generalized Twist for the Torsion of Piezoelectric CylindersIstván Ecsedi0Attila Baksa1Institute of Applied Mechanics, University of Miskolc, Egyetemváros, Miskolc 3515, HungaryInstitute of Applied Mechanics, University of Miskolc, Egyetemváros, Miskolc 3515, HungaryIn the classical theory of elasticity, Truesdell proposed the following problem: for an isotropic linearly elastic cylinder subject to end tractions equipollent to a torque T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond to the solutions of the torsion problem and K depends only on the cross-section and the elastic properties of the considered cylinder. This problem has been solved by Day. In the present paper Truesdell’s problem is extended to the case of piezoelastic, monoclinic, and nonhomogeneous right cylinders.http://dx.doi.org/10.1155/2017/3634520 |
| spellingShingle | István Ecsedi Attila Baksa The Generalized Twist for the Torsion of Piezoelectric Cylinders Modelling and Simulation in Engineering |
| title | The Generalized Twist for the Torsion of Piezoelectric Cylinders |
| title_full | The Generalized Twist for the Torsion of Piezoelectric Cylinders |
| title_fullStr | The Generalized Twist for the Torsion of Piezoelectric Cylinders |
| title_full_unstemmed | The Generalized Twist for the Torsion of Piezoelectric Cylinders |
| title_short | The Generalized Twist for the Torsion of Piezoelectric Cylinders |
| title_sort | generalized twist for the torsion of piezoelectric cylinders |
| url | http://dx.doi.org/10.1155/2017/3634520 |
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