A meshless solution of nonlinear elastoplastic problems based on the RRKPM

In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving nonlinear elastoplastic problems. Different fro...

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Autores principales:	Hongfen Gao, Gaofeng Wei
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Meshless analysis Nonlinear elastoplastic problems Reproducing kernel particle method (RKPM) Radial basis function (RBF) Numerical simulation Physics QC1-999
Acceso en línea:	https://doaj.org/article/7fee4868d5f8443d9e5e4739346c572e
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id	oai:doaj.org-article:7fee4868d5f8443d9e5e4739346c572e
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spelling	oai:doaj.org-article:7fee4868d5f8443d9e5e4739346c572e2021-11-14T04:32:32ZA meshless solution of nonlinear elastoplastic problems based on the RRKPM2211-379710.1016/j.rinp.2021.104986https://doaj.org/article/7fee4868d5f8443d9e5e4739346c572e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009931https://doaj.org/toc/2211-3797In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving nonlinear elastoplastic problems. Different from the mesh-based numerical methods, the RRKPM is a meshless technique, which does not require the discretization of elements and meshes as is usually done in the finite element method (FEM). The meshless RRKPM possesses the advantage of greater accuracy in comparison with the traditional RKPM. For nonlinear elastoplastic problems, Galerkin weak form is adopted to establish equation system. Utilizing the penalty method, the essential boundary conditions are imposed, and then the corresponding formulas of the meshless RRKPM for nonlinear elastoplastic problems are derived. Furthermore, the effects of the scaling parameter and node number on computational accuracy of obtained results are discussed in detail. Finally, a few elastoplastic examples are used to show the correctness and effectiveness of the presented method for solving nonlinear elastoplastic problems.Hongfen GaoGaofeng WeiElsevierarticleMeshless analysisNonlinear elastoplastic problemsReproducing kernel particle method (RKPM)Radial basis function (RBF)Numerical simulationPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104986- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Meshless analysis Nonlinear elastoplastic problems Reproducing kernel particle method (RKPM) Radial basis function (RBF) Numerical simulation Physics QC1-999
spellingShingle	Meshless analysis Nonlinear elastoplastic problems Reproducing kernel particle method (RKPM) Radial basis function (RBF) Numerical simulation Physics QC1-999 Hongfen Gao Gaofeng Wei A meshless solution of nonlinear elastoplastic problems based on the RRKPM
description	In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving nonlinear elastoplastic problems. Different from the mesh-based numerical methods, the RRKPM is a meshless technique, which does not require the discretization of elements and meshes as is usually done in the finite element method (FEM). The meshless RRKPM possesses the advantage of greater accuracy in comparison with the traditional RKPM. For nonlinear elastoplastic problems, Galerkin weak form is adopted to establish equation system. Utilizing the penalty method, the essential boundary conditions are imposed, and then the corresponding formulas of the meshless RRKPM for nonlinear elastoplastic problems are derived. Furthermore, the effects of the scaling parameter and node number on computational accuracy of obtained results are discussed in detail. Finally, a few elastoplastic examples are used to show the correctness and effectiveness of the presented method for solving nonlinear elastoplastic problems.
format	article
author	Hongfen Gao Gaofeng Wei
author_facet	Hongfen Gao Gaofeng Wei
author_sort	Hongfen Gao
title	A meshless solution of nonlinear elastoplastic problems based on the RRKPM
title_short	A meshless solution of nonlinear elastoplastic problems based on the RRKPM
title_full	A meshless solution of nonlinear elastoplastic problems based on the RRKPM
title_fullStr	A meshless solution of nonlinear elastoplastic problems based on the RRKPM
title_full_unstemmed	A meshless solution of nonlinear elastoplastic problems based on the RRKPM
title_sort	meshless solution of nonlinear elastoplastic problems based on the rrkpm
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/7fee4868d5f8443d9e5e4739346c572e
work_keys_str_mv	AT hongfengao ameshlesssolutionofnonlinearelastoplasticproblemsbasedontherrkpm AT gaofengwei ameshlesssolutionofnonlinearelastoplasticproblemsbasedontherrkpm AT hongfengao meshlesssolutionofnonlinearelastoplasticproblemsbasedontherrkpm AT gaofengwei meshlesssolutionofnonlinearelastoplasticproblemsbasedontherrkpm
_version_	1718429965157924864

A meshless solution of nonlinear elastoplastic problems based on the RRKPM

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