In displacement based finite element models, stresses deduced directly from the constitutive relationship can show local erratic behaviour. This occurs in problems involving initial stresses or strains, or varying rigidities over the element domain, when local stresess do not meet a specific consistency requirement. In this context, an integrated procedure for recovering consisten stresses, that is stresses riddled of spurious outcomes, is proposed. The procedure is developed within a general weighted residual approach, suitably specialized for the purpose. The relationship between the proposed procedure and those based on the Hu-Washizu formulation is also elucidated. For illustration purpose, some numerical tests are included. © 2002 Elsevier Science B.V. All rights reserved.
Recovery of consistent stresses for compatible finite elements / De Miranda S.; Ubertini F.. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - ELETTRONICO. - 191:15-16(2002), pp. 1595-1609. [10.1016/S0045-7825(01)00338-3]
Recovery of consistent stresses for compatible finite elements
De Miranda S.;Ubertini F.
2002
Abstract
In displacement based finite element models, stresses deduced directly from the constitutive relationship can show local erratic behaviour. This occurs in problems involving initial stresses or strains, or varying rigidities over the element domain, when local stresess do not meet a specific consistency requirement. In this context, an integrated procedure for recovering consisten stresses, that is stresses riddled of spurious outcomes, is proposed. The procedure is developed within a general weighted residual approach, suitably specialized for the purpose. The relationship between the proposed procedure and those based on the Hu-Washizu formulation is also elucidated. For illustration purpose, some numerical tests are included. © 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
