@Article{cmes.2014.099.255, AUTHOR = {F.L.S. Bussamra, E.Lucena Neto, W.M. Ponciano}, TITLE = {Simulation of Stress Concentration Problems by Hexahedral Hybrid-Trefftz Finite Element Models}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {99}, YEAR = {2014}, NUMBER = {3}, PAGES = {255--272}, URL = {http://www.techscience.com/CMES/v99n3/27179}, ISSN = {1526-1506}, ABSTRACT = {Hybrid-Trefftz stress finite elements have been applied with success to the analysis of linear and non-linear problems in structural mechanics. Two independent fields are approximated: stresses within the elements and displacements on their boundary. The stress field satisfies the Trefftz constraint a priori, i.e., it is extracted from the Navier equation solution. This type of element has provided remarkable improvement in stress predictions compared to the standard displacement-based finite elements. In this work, solution of stress concentration problems is carried out by hexahedral hybrid-Trefftz stress element models. Stress concentration factors and stress intensity factors are then identified and compared with available results. The hierarchicalp-refinement strategy is exploited in the numerical tests.}, DOI = {10.3970/cmes.2014.099.255} }