Quadratic NMS Mindlin-plate-bending element

Choi, Chang Koon; Park, Yong‐Myung

doi:10.1002/(sici)1097-0207(19991120)46:8<1273::aid-nme754>3.0.co;2-n

Int. J. Numer. Meth. Engng.

1999

DOI: 10.1002/(sici)1097-0207(19991120)46:8<1273::aid-nme754>3.0.co;2-n

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Quadratic NMS Mindlin-plate-bending element

Chang Koon Choi

Yong‐Myung Park

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Cited by 15 publications

References 19 publications

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A refined 5‐node plate bending element based on Reissner–Mindlin theory

Sofuoğlu

Gedikli

2006

Commun. Numer. Meth. Engng.

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SUMMARYIn this study, a simple approach was proposed to develop a new 5-node plate bending element, named DRMP. This element formulation is based on the Reissner-Mindlin plate theory and can be used for the analysis of both thin and thick plate. The new element formulation was then coded into FEAP to develop 15-DOF DRMP element for the finite element analysis of plate problems as well as 4-node quadrilateral DRMQ element with 12 DOF. The convergence and usage of DRMP element along with DRMQ element were investigated and the results of the both elements were then compared with the exact solution and the other elements available in the literature. The numerical studies demonstrated that the proposed elements, DRMQ and DRMP, passed the patch test and possessed fast convergence and high accuracy while DRMP element showed the invariability to the fifth node's position. Moreover, they were independent of the shear locking phenomenon for very thin plates. The presented results showed that 5-node DRMP element can be used along with 4-node quadrilateral DRMQ element where mesh refinement is necessary as a transition element.

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A refined 5‐node plate bending element based on Reissner–Mindlin theory

Sofuoğlu

Gedikli

2006

Commun. Numer. Meth. Engng.

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Direct modification for non‐conforming elements with drilling DOF

Choi

lee

Chung

2002

Numerical Meth Engineering

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SUMMARYA uniÿed approach to eliminate the undesirable lockings in distorted meshes for both non-conforming quadrilateral membrane and hexahedral elements with drilling (or rotational) degrees of freedom is presented. The direct modiÿcation scheme is utilized in the formulation of non-conforming modes to improve the general behaviour of isoparametric-based elements. It is shown that the direct modiÿcation is very e ective in eliminating the locking and this improvement of element behaviour may be doubled if the selective integration scheme is used simultaneously. To verify the validity of elements formulated by the proposed schemes and to evaluate their e ectiveness, several numerical tests are carried out. The combined use of additional non-conforming modes with the direct modiÿcation method and the selective integration technique plays an important role to improve the behaviour of elements, especially for distorted mesh cases. Test results also show that the results for both non-conforming quadrilateral membrane and hexahedral elements obtained by the proposed schemes are equally satisfactory.

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

Sohn

2012

Comput Mech

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Quadratic NMS Mindlin-plate-bending element

Cited by 15 publications

References 19 publications

A refined 5‐node plate bending element based on Reissner–Mindlin theory

A refined 5‐node plate bending element based on Reissner–Mindlin theory

Direct modification for non‐conforming elements with drilling DOF

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

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