20.500.12556/RUL-32208 Model adaptivity for finite element analysis of thin or thick plates based on equilibrated boundary stress resultants Purpose – The purpose of this paper is to address error-controlled adaptive finite element (FE) method for thin and thick plates. A procedure is presented for determining the most suitable plate model (among available hierarchical plate models) for each particular FE of the selected mesh, that is provided as the final output of the mesh adaptivity procedure. Design/methodology/approach – The model adaptivity procedure can be seen as an appropriate extension to model adaptivity for linear elastic plates of so-called equilibrated boundary traction approach error estimates, previously proposed for 2D/3D linear elasticity. Model error indicator is based on a posteriori element-wise computation of improved (continuous) equilibrated boundary stress resultants, and on a set of hierarchical plate models. The paper illustrates the details of proposed model adaptivity procedure for choosing between two most frequently used plate models: the one of Kirchhoff and the other of Reissner-Mindlin. The implementation details are provided for a particular case of the discrete Kirchhoff quadrilateral four-node plate FE and the corresponding Reissner-Mindlin quadrilateral with the same number of nodes. The key feature for those elements that they both provide the same quality of the discretization space (and thus the same discretization error) is the one which justifies uncoupling of the proposed model adaptivity from the mesh adaptivity. Findings – Several numerical examples are presented in order to illustrate a very satisfying performance of the proposed methodology in guiding the final choice of the optimal model and mesh in analysis of complex plate structures. Originality/value – The paper confirms that one can make an automatic selection of the most appropriate plate model for thin and thick plates on the basis of proposed model adaptivity procedure. plates error analysis finite element analysis modelling plate structures plošče ocena napake modelske napake true false false Emerald Angleški jezik Angleški jezik Neznano 2015-07-10 10:13:08 2015-07-10 10:13:08 2022-11-21 15:53:30 0000-00-00 00:00:00 2009 0 0 Str. 69-99 št. 1/2 Letn. 26 2009 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.073 0264-4401 4546401 25396480 Model_EC_Brank_k.pdf Model_EC_Brank_k.pdf 1 695FB2AE56553859AA729482208E6DAD b72d1b319ac97a47620d10d902ada5e4eb9f1481e5f63504427968e975667c5d 15ac1b78-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/ea7a5da6-1ef2-436b-b73c-14155207be37 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85721 Fakulteta za gradbeništvo in geodezijo 0 0 0