 |
|
|
|
| HAL: hal-00502405, version 1 |
| Detailed view |  Export this paper |
|
|
| Journal of Elasticity (1998) 15 |
|
|
|
|
| A Second-Order Solution of Saint-Venant's Problem for an Elastic Pretwisted Bar Using Signorini's Perturbation Method |
|
|
Francesco Dell'Isola 1, 2Giuseppe C. Ruta 1 |
|
|
| (1998) |
|
|
|
| We use Signorini's expansion to analyse deformations of a straight, prismatic, isotropic, stress free, homogeneous body made of a second-order elastic material and loaded as follows. It is first twisted by an infinitesimal amount and then loaded by applying surface tractions, with nonzero resultant forces and/or moments, only at its end faces. The centroid of one end face is taken to be rigidly clamped. By using a semi-inverse method, the problem is reduced to that of solving two plane elliptic problems involving six arbitrary constants that characterize flexure, bending, extension, and torsion superimposed upon the infinitesimal twist. It is shown that the Clebsch hypothesis is not valid for this problem. A second-order Poisson's effect, not of the Saint-Venant type, and generalized Poynting effects may also occur in these problems. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Dipartimento di Ingegneria Strutturale e Geotecnica |
|
|
|
Universita di Roma "La Sapienza" |
|
|
| 2: | Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita |
|
|
|
Cisterna di Latina |
|
|
| 3: | Department of Engineering Science and Mechanics |
|
|
|
Virginia Polytechnic Institute &State University |
|
|
|
|
|
|
|
|
|
| Subject | : | Engineering Sciences/Mechanics |
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00502405, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00502405 | |
| oai:hal.archives-ouvertes.fr:hal-00502405 | |
| From: Francesco Dell'Isola | |
| Submitted on: Wednesday, 14 July 2010 14:44:57 | |
| Updated on: Saturday, 17 July 2010 10:48:11 | |
