Excellence in Research and Innovation for Humanity
%0 Journal Article
%A Rado Flajs and  Miran Saje
%D 2012 
%J  International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering
%B World Academy of Science, Engineering and Technology
%I International Science Index 68, 2012
%T On Convergence of Affine Thin Plate Bending Element
%U http://waset.org/publications/13804
%V 68
%X In the present paper the displacement-based nonconforming quadrilateral affine thin plate bending finite element ARPQ4 is presented, derived directly from non-conforming quadrilateral thin plate bending finite element RPQ4 proposed by Wanji and Cheung [19]. It is found, however, that element RPQ4 is only conditionally unisolvent. The new element is shown to be inherently unisolvent. This convenient property results in the element ARPQ4 being more robust and thus better suited for computations than its predecessor. The convergence is proved and the rate of convergence estimated. The mathematically rigorous proof of convergence presented in the paper is based on Stummel-s generalized patch test and the consideration of the element approximability condition, which are both necessary and sufficient for convergence.

%P 1705 - 1713