Transition Plate‐Bending Elements for Compatible Mesh Gradation

Choi, Chang Koon; Park, Yong‐Myung

doi:10.1061/(asce)0733-9399(1992)118:3(462)

Cited by 19 publications

(2 citation statements)

References 14 publications

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“…Other than these conventional models mentioned above, there were some transition elements being proposed for the compatible connection of nonmatching meshes [185][186][187][188]. Sohn and Im [185] developed a quadrilateral model which can include an arbitrary number of additional nodes on each edge.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…Sohn and Im [185] developed a quadrilateral model which can include an arbitrary number of additional nodes on each edge. Choi and Park [186,187] proposed different types of transition plate bending elements for adaptive ℎ-refinement. Sofuoglu and Gedikli [188] proposed a 5-node transition element by using the refined nonconforming method [161].…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

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Developments of Mindlin-Reissner Plate Elements

Cen

Shang

2015

Mathematical Problems in Engineering

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Since 1960s, how to develop high-performance plate bending finite elements based on different plate theories has attracted a great deal of attention from finite element researchers, and numerous models have been successfully constructed. Among these elements, the most popular models are usually formulated by two theoretical bases: the Kirchhoff plate theory and the Mindlin-Reissener plate theory. Due to the advantages that onlyC0continuity is required and the effect of transverse shear strain can be included, the latter one seems more rational and has obtained more attention. Through abundant works, different types of Mindlin-Reissener plate models emerged in many literatures and have been applied to solve various engineering problems. However, it also brings FEM users a puzzle of how to choose a “right” one. The main purpose of this paper is to present an overview of the development history of the Mindlin-Reissner plate elements, exhibiting the state-of-art in this research field. At the end of the paper, a promising method for developing “shape-free” plate elements is recommended.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Developments of Mindlin-Reissner Plate Elements

Cen

Shang

2015

Mathematical Problems in Engineering

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An adaptive h‐refinement using transition element for plate bending problems

Choi

Park²

1992

Numerical Meth Engineering

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An adaptive h-refinement procedure utilizing compatible 5to 7-node quadrilateral transition elements together with 4-node elements is presented for Reissner-Mindlin plate bending problems. By introducing the transition elements which have physical midside nodes, some difficulties associated with imposing displacement constraints on irregular nodes to enforce interelement compatibility in common adaptive h-refinement on quadrilateral mesh are easily overcome. Numerical examples are presented to show the effectiveness of using the transition elements for the adaptive h-refinement.

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Adaptive numerical solution of thick plates using first‐order shear deformation theory. Part II: Adaptivity

Ludwig¹,

Shaw²,

Whiteman³

2003

Numerical Methods Partial

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This is the second in a pair of articles concerned with the adaptive finite element solution of RiessnerMindlin thick plates modeled using first-order shear deformation theory. This article is concerned with enhancing the a posteriori energy-error estimators developed in Part I in order to accomodate transition elements in the finite element mesh. The resulting estimators are then used in an adaptive finite element model employing transition elements and the subsequent results discussed and compared with those in Part I. A major part of the article is devoted to identifying a novel patch assembly node algorithm for using the ZZ recovery-type estimator with transition elements.

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Transition Plate‐Bending Elements for Compatible Mesh Gradation

Cited by 19 publications

References 14 publications

Developments of Mindlin-Reissner Plate Elements

Developments of Mindlin-Reissner Plate Elements

An adaptive h‐refinement using transition element for plate bending problems

Adaptive numerical solution of thick plates using first‐order shear deformation theory. Part II: Adaptivity

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