Convergence Behavior of DSQ and DSQK Elements for Composite Plates

DOI

10.2991/978-94-6239-717-0_7How to use a DOI?

Keywords

Composite Plates; DSQ; DSQK

Abstract

Computational method in the composite materials application such as bending plate problems is needed since the analytical solutions are only available for simple structures. This paper presents in a unified and comparative manner of solution accuracy for composite plate structures using two quadrilateral plate bending composite elements, i.e. DSQ (Discrete Shear Quadrilateral) and DSQK (modified DSQ) elements which are published in 1990 and 2011 respectively. All the elements have 4 nodes and 5 degrees of freedom per node (three displacements and two rotations), considering transverse shear effects. The plate kinematics is based on Reissner-Mindlin plate theory with discrete shear constraints introduced to relate the kinematical and the independent shear strains. In the DSQK element, the couple between lower order and higher order bending energy is assumed to be zero to fulfil the constant bending patch test. The independent transverse shear strain is expressed only by second derivatives of the rotation obtained from a unified and integrated kinematic relationship, constitutive law, and equilibrium equations. There are valid to for thin to thick composite plates and give good results in isotropic, classical benchmark and patch tests. Two tests proposed with sandwich and 3 and 9 layers are evaluated using uniform mesh and distorted mesh. The convergence of central displacement is then presented to understand which element give better accuracy. The DSQ element gives good convergence behavior to the reference solution. Moreover, both uniform and distorted mesh of DSQ element provides better accuracy than DSQK element for all cases analyzed in this paper.

Copyright

© 2026 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Pierro Bernard Johan
AU  - Imam Jauhari Maknun
PY  - 2026
DA  - 2026/06/25
TI  - Convergence Behavior of DSQ and DSQK Elements for Composite Plates
BT  - Proceedings of the 19th International Conference on Quality in Research (QiR 2025)
PB  - Atlantis Press
SP  - 78
EP  - 96
SN  - 2352-5401
UR  - https://doi.org/10.2991/978-94-6239-717-0_7
DO  - 10.2991/978-94-6239-717-0_7
ID  - Johan2026
ER  -