A formulation of the finite element method applied for elastoplastic analysis of shells
Full text
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| Author(s): |
Arthur Dias Mesquita
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) |
| Defense date: | 1998-04-27 |
| Examining board members: |
Sérgio Persival Baroncini Proença;
Miguel Luiz Bucalem;
Walter Savassi
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| Advisor: | Humberto Breves Coda |
| Abstract | |
A finite element for elastoplastic analysis of plates (in bending or not) and shells is described. This element presents triangular geometry and is the result of a coupling between a plate in bending element (DKT) and a plane stress elernent, based on the free formulation (FF). The DKT element is a well-known finite element, considered by many authors as one of the best of its class. The FF element presents the normal rotation degree of freedom, what is essential when working with near planar shells. Beyond this, its convergence is guaranteed due to the imposition of the \'Individual Element Test\'. The elastoplastic behaviour is approached by means of implicit integration techniques. Associative plasticity is considered with isotropic hardening and the von Mises criteria. In order to preserve the quadratic rate of asymptotic convergence of Newton-Raphson method, the consistent elastoplastic tangent matrix is applied. Results demonstrates the accuracy and efficiency of the proposed formulation. (AU) | |