The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory

Katili, Irwan; Batoz, Jean‐Louis; Maknun, Imam Jauhari; Hamdouni, Aziz; Millet, Olivier

doi:10.1016/j.finel.2015.02.005

Cited by 42 publications

(41 citation statements)

References 26 publications

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“…In formulations of DKMQ24 element [7],   i RN represents the normal vector. However, In DKMQ20,   i RN can be deduced as follow:…”

Section: Dkmq20 Shell Elementmentioning

confidence: 99%

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Development DKMQ Shell Element with Five Degrees of Freedom per Nodal

Irpanni¹,

Katili²,

Maknun³

2017

IJMERR

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“…In formulations of DKMQ24 element [7],   i RN represents the normal vector. However, In DKMQ20,   i RN can be deduced as follow:…”

Section: Dkmq20 Shell Elementmentioning

confidence: 99%

“…These elements free shear locking and passed the patch test. Katili et al develop of DKMQ plate element to DKMQ24 shell element [7]. In this paper, DKMQ shell element with Five DOF (DKMQ20) are formulated and consequently the fictitious stiffness and MacNeal stabilization as it used in DKMQ24 is vanished.…”

Section: Introductionmentioning

confidence: 99%

Development DKMQ Shell Element with Five Degrees of Freedom per Nodal

Irpanni¹,

Katili²,

Maknun³

2017

IJMERR

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“…The benefits of the DKMQ are: (1) it is free from shear locking; (2) it has only three rigid-body modes (no spurious energy modes); and (3) it passes the constant-curvature and constant-shear patch tests. The DKMQ element has been enhanced to a 24-d.o.f shell element that can take into account the warping effects and coupling bending-membrane energy [11]. It has also been enhanced for analysis of composite laminated plates [6].…”

Section: Introductionmentioning

confidence: 99%

Development of the DKMQ Element for Analysis of Composite Laminated Folded Plate Structures

Wong¹,

Widjaja²

2018

ced

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The discrete-Kirchhoff Mindlin quadrilateral (DKMQ) element has recently been developed for analysis of composite laminated plates. This paper presents further development of the DKMQ for analysis of composite laminated folded plates. In this development, a local coordinate system is set up for each element at its centroid. The DKMQ stiffness matrix is superimposed with that of the standard four-node plane stress quadrilateral element to obtain a 24-by-24 folded plate stiffness matrix in the local coordinate system. To avoid singularity of the stiffness matrix, a small stiffness coefficient is added in the entries corresponding to the drilling degrees of freedom. The local stiffness matrix and force vector are then transformed to the global ones and assembled. The accuracy and convergence of the folded plate element are assessed using a number of numerical examples. The results show that the element is accurate and converge well to the reference solutions.

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“…In finite element analysis, many researches show that quadrilateral element have a good performance. As a result, many analyses prefer to use the quadrilateral element [1][2][3][4][5][6][7][8][9][10]. This condition should encourage researchers to develop study about triangular element.…”

Section: Introductionmentioning

confidence: 99%

An evaluation on the performance of two simple triangular bending plate elements

2018

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This paper will study and compare two different three-node triangular bending plate elements with three degree of freedom per node, i.e. MITC3 and DKMT. Both elements, which were developed based on Reissner-Mindlin plate theory and independent shear strain field, have simple formulation and have already been used widely. In this paper, numerical tests for circular plate case are conducted to verify the performance and show the convergence of these two triangular elements.

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The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory

Cited by 42 publications

References 26 publications

Development DKMQ Shell Element with Five Degrees of Freedom per Nodal

Development DKMQ Shell Element with Five Degrees of Freedom per Nodal

Development of the DKMQ Element for Analysis of Composite Laminated Folded Plate Structures

An evaluation on the performance of two simple triangular bending plate elements

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