Finite strain plasticity, the stress condition and a complete shell model
| dc.contributor.author | Areias, P. | |
| dc.date.accessioned | 2012-12-07T15:57:32Z | |
| dc.date.available | 2012-12-07T15:57:32Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The null stress (s 33 = 0) and incompressibility (J = 1) conditions in finite strain elasto-plastic shell analysis are studied in closed-form and implemented with a variant of the combined control by Ritto-Corrêa and Camotim. Coupling between constitutive laws and shell kinematics results from the satisfaction of either of the conditions; nonlocality results from the coupling. We prove that the conditions are, in general, incompatible. A new thickness-deformable is studied in terms of kinematics and strong-ellipticity. The affected continuum laws are derived and, in the discrete form, it is shown that thickness degrees-of-freedom and enhanced strains are avoided: a mixed displacement-shear strain shell element is used. Both hyperelastic and elasto-plastic constitutive laws are tested. Elasto-plasticity follows Lee’s decomposition and direct smoothing of the complementarity condition. A smooth root finder is employed to solve the resulting algebraic problem. Besides closed-form examples, numerical examples consisting of classical and newly proposed benchmarks are solved. | por |
| dc.identifier.authoremail | pmaa@uevora.pt | |
| dc.identifier.uri | http://link.springer.com/article/10.1007%2Fs00466-009-0427-y?LI=true | |
| dc.identifier.uri | http://hdl.handle.net/10174/6647 | |
| dc.language.iso | por | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.rights | restrictedAccess | por |
| dc.title | Finite strain plasticity, the stress condition and a complete shell model | por |
| dc.type | article | por |