A Quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Davoli, Elisa | |
| dc.contributor.author | Mora, Maria Giovanna | |
| dc.contributor.department | Functional Analysis and Applications | en_US |
| dc.date.accessioned | 2012-04-04T08:12:31Z | |
| dc.date.available | 2012-04-04T08:12:31Z | |
| dc.date.issued | 2012-04 | |
| dc.description.abstract | The subject of this paper is the rigorous derivation of a quasistatic evolution model for a linearly elastic - perfectly plastic thin plate. As the thickness of the plate tends to zero, we prove via Gamma-convergence techniques that solutions to the three-dimensional quasistatic evolution problem of Prandtl-Reuss elastoplasticity converge to a quasistatic evolution of a suitable reduced model. In this limiting model the admissible displacements are of Kirchhoff-Love type and the stretching and bending components of the stress are coupled through a plastic flow rule. Some equivalent formulations of the limiting problem in rate form are derived, together with some two-dimensional characterizations for suitable choices of the data. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/5673 | |
| dc.language.iso | en | en_US |
| dc.miur.area | -1 | en_US |
| dc.publisher | SISSA | en_US |
| dc.relation.ispartofseries | SISSA;07/2012/M | |
| dc.subject.keyword | Gamma-convergence | en_US |
| dc.subject.keyword | quasistatic evolution | en_US |
| dc.subject.keyword | rate-independent processes | en_US |
| dc.subject.keyword | Prandtl-Reuss plasticity | en_US |
| dc.subject.keyword | perfect plasticity | en_US |
| dc.subject.keyword | thin plates | en_US |
| dc.title | A Quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence | en_US |
| dc.type | Preprint | en_US |