Premium
Statically admissible finite element solution of the thin plate bending problem with a posteriori error estimation
Author(s) -
Świątkiewicz Paulina,
Więckowski Zdzisław
Publication year - 2019
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6295
Subject(s) - finite element method , a priori and a posteriori , displacement (psychology) , mixed finite element method , bending , mathematics , basis (linear algebra) , strain energy , bending of plates , displacement method , extended finite element method , type (biology) , element (criminal law) , mathematical analysis , structural engineering , geometry , engineering , psychology , philosophy , epistemology , psychotherapist , ecology , political science , law , biology
SUMMARY Two triangular elements of class C 0 developed on the basis of the principle of complementary work are applied in the static analysis of a thin plate. Some techniques to widen the versatility of the equilibrium approach for the finite element method are presented. Plates of various shapes subjected to diverse types of loading are considered. The results are compared with outcomes obtained by use of the displacement‐based finite element method. By use of these two dual types of solutions, the error of the approximate solution is calculated. The lower and upper bounds for the strain energy are found.