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Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method

In this paper the dual reciprocity boundary element method (DRBEM) is employed to evaluate large deformations of shear deformable plates. Incremental approaches utilizing the Euler method and the total incremental method are used for treating the nonlinear problems. A simple numerical algorithm for...

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Main Authors:	Purbolaksono J., Aliabadi M.H.
Other Authors:	8621252500
Format:	Article
Published:	Elsevier Ltd 2023
Subjects:	Boundary element method Dual reciprocity Incremental approach Large deformation Shear deformable plates Deformation Sailing vessels Shear deformation Different boundary condition Dual reciprocity boundary element method Dual reciprocity methods Nonlinear problems Numerical algorithms Shear deformable plate
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id	my.uniten.dspace-30698
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spelling	my.uniten.dspace-306982023-12-29T15:51:31Z Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method Purbolaksono J. Aliabadi M.H. 8621252500 57034025200 Boundary element method Dual reciprocity Incremental approach Large deformation Shear deformable plates Deformation Sailing vessels Shear deformation Different boundary condition Dual reciprocity Dual reciprocity boundary element method Dual reciprocity methods Incremental approach Nonlinear problems Numerical algorithms Shear deformable plate Boundary element method In this paper the dual reciprocity boundary element method (DRBEM) is employed to evaluate large deformations of shear deformable plates. Incremental approaches utilizing the Euler method and the total incremental method are used for treating the nonlinear problems. A simple numerical algorithm for analyzing the problems is presented. Two numerical examples of square plates with different boundary conditions subjected to transverse loadings are presented to demonstrate the accuracy of the formulation. The Euler method seems to be a more stable method for treating nonlinear problems of the shear deformable plate if the dual reciprocity method is employed to evaluate the domain integrals that appear in the formulations. � 2010 Elsevier Ltd. All rights reserved. Final 2023-12-29T07:51:30Z 2023-12-29T07:51:30Z 2010 Article 10.1016/j.enganabound.2010.03.011 2-s2.0-79952043649 https://www.scopus.com/inward/record.uri?eid=2-s2.0-79952043649&doi=10.1016%2fj.enganabound.2010.03.011&partnerID=40&md5=5962149d92a62409c2dd785eb4dac638 https://irepository.uniten.edu.my/handle/123456789/30698 34 9 819 823 Elsevier Ltd Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Boundary element method Dual reciprocity Incremental approach Large deformation Shear deformable plates Deformation Sailing vessels Shear deformation Different boundary condition Dual reciprocity Dual reciprocity boundary element method Dual reciprocity methods Incremental approach Nonlinear problems Numerical algorithms Shear deformable plate Boundary element method
spellingShingle	Boundary element method Dual reciprocity Incremental approach Large deformation Shear deformable plates Deformation Sailing vessels Shear deformation Different boundary condition Dual reciprocity Dual reciprocity boundary element method Dual reciprocity methods Incremental approach Nonlinear problems Numerical algorithms Shear deformable plate Boundary element method Purbolaksono J. Aliabadi M.H. Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
description	In this paper the dual reciprocity boundary element method (DRBEM) is employed to evaluate large deformations of shear deformable plates. Incremental approaches utilizing the Euler method and the total incremental method are used for treating the nonlinear problems. A simple numerical algorithm for analyzing the problems is presented. Two numerical examples of square plates with different boundary conditions subjected to transverse loadings are presented to demonstrate the accuracy of the formulation. The Euler method seems to be a more stable method for treating nonlinear problems of the shear deformable plate if the dual reciprocity method is employed to evaluate the domain integrals that appear in the formulations. � 2010 Elsevier Ltd. All rights reserved.
author2	8621252500
author_facet	8621252500 Purbolaksono J. Aliabadi M.H.
format	Article
author	Purbolaksono J. Aliabadi M.H.
author_sort	Purbolaksono J.
title	Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
title_short	Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
title_full	Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
title_fullStr	Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
title_full_unstemmed	Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
title_sort	stability of euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method
publisher	Elsevier Ltd
publishDate	2023
_version_	1806426146429992960
score	13.222552

Stability of Euler's method for evaluating large deformation of shear deformable plates by dual reciprocity boundary element method

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