TY - JOUR N2 - The formulation of a plate finite element with so called ‘physical’ shape functions is revisited. The derivation of the ‘physical’ shape functions is based on Hencky-Bollé theory of moderately thick plates. The considered finite element was assessed in the past, and the tests showed that the solution convergence was achieved in a wide range of thickness to in-plane dimensions ratios. In this paper a holistic correctness assessment is presented, which covers three criteria: the ellipticity, the consistency and the inf-sup conditions. Fulfilment of these criteria assures the existence of a unique solution, and a stable and optimal convergence to the correct solution. The algorithms of the numerical tests for each test case are presented and the tests are performed for the considered formulation. In result it is concluded that the finite element formulation passes every test and therefore is a good choice for modeling plate structural elements regardless of their thickness. L1 - http://journals.pan.pl/Content/103352/PDF-MASTER/ace-2017-0026.pdf.pdf L2 - http://journals.pan.pl/Content/103352 PY - 2017 IS - No 3 EP - 37 KW - Plate finite element KW - Physical shape functions KW - Ellipticity KW - Consistency KW - Inf-sup condition A1 - Gilewski, W. A1 - Sitek, M. PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES DA - 30.09.2017 T1 - Plate finite element with physical shape functions: correctness of the formulation SP - 19 UR - http://journals.pan.pl/dlibra/publication/edition/103352 T2 - Archives of Civil Engineering ER -