Development of the DKMT Element for Error Estimation in Composite Plate Structures

Abstract

This paper presents an application of the Discrete Kirchhoff-Mindlin Triangular (DKMT) element for error estimation in composite structures. The DKMT element passed the patch tests and gave good results in many plate bending applications. The DKMT element formulation in composite application uses the same technique as the Discrete Kirchhoff-Mindlin Quadrilateral (DKMQ) composite introduced. The benchmark tests for composite plates have been analyzed, as validation, using the methods employed by Srinivas (1973) and Pagano (1970). The DKMT plate bending element gave a good performance in convergence tests and can be used as one of tools in analyzing composite structures. Moreover, error estimation using various recovery methods such as Averaging, Projection and Superconvergent Patch Recovery (SPR) has been studied. All recovery methods used give similar results.

Shear deformable shell element DKMQ24 for composite structures

“…The application of DKMQ plate element in stochastic finite element analysis, error estimation and buckling analysis were presented in [42][43][44]. The performance of DKMQ and DKMT plate element has been proved for thin and thick plate problems including composite plates [45,46]. Others papers in finite element for composite plates are found in [47][48][49][50][51].…”

Error Estimation for the DKMQ24 Shell Element Using Various Recovery Methods

“…Another application of DKMQ for buckling analysis is presented in (Wong et al, 2017) and for stochastic finite element analysis in (Mahjudin et al, 2016) Moreover, the development of the DKMT element for error estimation in composite plate structures has been presented by Maknun et al (2015). Meanwhile, have presented the development of the DKMQ plate element to the DKMQ24 shell element using the Naghdi/Mindlin/Reissner shell theory, which takes into account warping effects and coupling bending-membrane energy effects.…”

Shear Correction Factor Effect on Functionally Graded Material (FGM) Beam with Timoshenko Hencky Beam (THB) Element

“…al. 2015, Katili et al 2014, Katili et al 2018a, Maknun et al 2016, Irpanni et al 2017, Katili et al 2018b, Katili et al 2017, Katili et al 2018c, Katili et al 2018d, Katili et al 2019a, Katili et al 2019b, Maknun et al 2020, Maknun et al 2015, Katili et al 2021, Maknun et al 202, Sidara et al 2021, Harahap et al 2021 and Maknun et al 2020[2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] …”