TITLE:
Multiresolution Finite Element Method Based on a New Locking-Free Rectangular Mindlin Plate Element
AUTHORS:
Yiming Xia
KEYWORDS:
Rectangular Mindlin Plate Element, Split Node, Full Node, Analysis Clarity, Displacement Subspace Sequence, Rational Multiresolution Analysis, Resolution Level
JOURNAL NAME:
World Journal of Mechanics,
Vol.6 No.6,
June
24,
2016
ABSTRACT: A locking-free
rectangular Mindlin plate element with a new multi-resolution analysis (MRA) is
proposed and a new finite element method is hence presented. The MRA framework
is formulated out of a mutually nesting displacement subspace sequence whose
basis functions are constructed of scaling and shifting on the element domain
of basic full node shape function. The basic full node shape function is
constructed by extending the split node shape function of a traditional Mindlin plate element to other three quadrants
around the coordinate zero point. As a result, a new rational MRA
concept together with the resolution level (RL) is constituted for the element.
The traditional 4-node rectangular Mindlin plate element and method is a
mono-resolution one and also a special case of the proposed element and method.
The meshing for the monoresolution plate element model is
based on the empiricism while the RL adjusting for the multiresolution is laid
on the rigorous mathematical basis. The analysis clarity of a plate structure
is actually determined by the RL, not by the mesh. Thus, the accuracy of a
plate structural analysis is replaced by the clarity, the irrational MRA by the
rational and the mesh model by the RL that is the discretized model by the integrated.