Variable-node plate and shell elements with assumed natural strain and smoothed integration methods for nonmatching meshes

Sohn, Dongwoo; Im, Seyoung

doi:10.1007/s00466-012-0774-y

Cited by 11 publications

(3 citation statements)

References 39 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. Choi and Park [186,187] proposed different types of transition plate bending elements for adaptive ℎ-refinement.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

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%

Developments of Mindlin-Reissner Plate Elements

Cen

Shang

2015

Mathematical Problems in Engineering

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show abstract

“…Due to these characteristics, S-FEM is widely applied to various problems for dynamics, fracture, contact, elasticity and elasto-plasticity [67][68][69]75]. Therefore this nature may link to a remarkably efficient integration scheme for VNEs [16,17,19,[41][42][43][44][45]. The details of S-FEM features may be found in the recent Liu's monograph [50].…”

Section: Introductionmentioning

confidence: 99%

“…The majority of the studies so far on VNEs and CS-FEM have been focused on the elastic analysis [41][42][43][46][47][48]. However, on elasto-plastic deformations the CS-FEM has been applied only to two-dimensional examples [77].…”

Section: Introductionmentioning

confidence: 99%