Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

Dhananjaya, HR; Pandey, Prafull; Nagabhushanam, J.; Othamon, Ismail

doi:10.12989/sem.2011.40.1.121

Cited by 4 publications

(2 citation statements)

References 23 publications

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“…The formulation of IFM was extended for continuous systems in ulterior studies [6,7]. New elements for finite element analysis via IFM have been proposed [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Comparison between the stiffness method and the hybrid method applied to a circular ring

Insausti

Adarraga

Urruzola

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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This study deals with the comparison of stresses and displacements of a circular ring obtained by two numerical formulations, namely the stiffness method and the hybrid method, applied to isoparametric quadrilateral elements. After explaining the formulation of the hybrid method in finite elements, an orthogonalization method proposed previously for hybrid elements is applied. Then, the computational cost per element of the stiffness method and of the hybrid method with and without orthogonalization has been evaluated for the first time. A circular ring loaded by two opposing forces is analyzed in order to compare the solution obtained by the hybrid method and the stiffness method with experimental and analytical results. The agreement between analytical and experimental results with those numerical is better in the case of the hybrid method than in the case of the stiffness method. It is observed that the element ratio needed to obtain a given relative error is one magnitude order greater in the stiffness method than in the case of the hybrid method.

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“…The formulation of IFM was extended for continuous systems in ulterior studies [6,7]. New elements for finite element analysis via IFM have been proposed [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Comparison between the stiffness method and the hybrid method applied to a circular ring

Insausti

Adarraga

Urruzola

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…Recently, new applications of IFM to FE analysis have been published. [24][25][26][27][28][29] These works deal with the development of the new elements for thick and moderately thick isotropic plates, and the generation of equilibrium and flexibility matrix for plate elements.…”

Section: Introductionmentioning

confidence: 99%

Application of the dual integrated force method to the analysis of the off-axis three-point flexure test of unidirectional composites

Adarraga

Romera

Cantera

et al. 2015

Journal of Composite Materials

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This paper shows the use of the dual integrated force method in the finite element method and its application to unidirectional composite laminates. This method was developed by SN Patnaik for isotropic materials, considering not only the equilibrium equations but also the compatibility conditions. The method is applied to obtain the stiffness matrix of a four-node rectangular plate element. Then, a three-point flexure test of a unidirectional off-axis composite has been analyzed. The results obtained with this method have been compared with those obtained from a previous analytic approach and with those obtained by commercial software of finite element method, which is based on the stiffness method.

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Elastoplastic nonlinear analysis of functionally graded beams utilizing the symplectic method

Peng

2021

Arch Appl Mech

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Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

Cited by 4 publications

References 23 publications

Comparison between the stiffness method and the hybrid method applied to a circular ring

Comparison between the stiffness method and the hybrid method applied to a circular ring

Application of the dual integrated force method to the analysis of the off-axis three-point flexure test of unidirectional composites

Elastoplastic nonlinear analysis of functionally graded beams utilizing the symplectic method

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