Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/6647
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Title: | Finite strain plasticity, the stress condition and a complete shell model |
Authors: | Areias, P. |
Issue Date: | 2012 |
Publisher: | Springer |
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. |
URI: | http://link.springer.com/article/10.1007%2Fs00466-009-0427-y?LI=true http://hdl.handle.net/10174/6647 |
Type: | article |
Appears in Collections: | FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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