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Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element

The modulus of elasticity of some materials changes under tensile and compressive states is simulated by constructing a typical material nonlinearity in a numerical analysis in this paper. The meshless Finite Block Method (FBM) has been developed to deal with 3D semi-infinite structures in the bimod...

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Detalles Bibliográficos
Autores principales: Huang, Wang, Yang, Jianjun, Sladek, Jan, Sladek, Vladimir, Wen, Pihua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8779496/
https://www.ncbi.nlm.nih.gov/pubmed/35057358
http://dx.doi.org/10.3390/ma15020641
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author Huang, Wang
Yang, Jianjun
Sladek, Jan
Sladek, Vladimir
Wen, Pihua
author_facet Huang, Wang
Yang, Jianjun
Sladek, Jan
Sladek, Vladimir
Wen, Pihua
author_sort Huang, Wang
collection PubMed
description The modulus of elasticity of some materials changes under tensile and compressive states is simulated by constructing a typical material nonlinearity in a numerical analysis in this paper. The meshless Finite Block Method (FBM) has been developed to deal with 3D semi-infinite structures in the bimodular materials in this paper. The Lagrange polynomial interpolation is utilized to construct the meshless shape function with the mapping technique to transform the irregular finite domain or semi-infinite physical solids into a normalized domain. A shear modulus strategy is developed to present the nonlinear characteristics of bimodular material. In order to verify the efficiency and accuracy of FBM, the numerical results are compared with both analytical and numerical solutions provided by Finite Element Method (FEM) in four examples.
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spelling pubmed-87794962022-01-22 Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element Huang, Wang Yang, Jianjun Sladek, Jan Sladek, Vladimir Wen, Pihua Materials (Basel) Article The modulus of elasticity of some materials changes under tensile and compressive states is simulated by constructing a typical material nonlinearity in a numerical analysis in this paper. The meshless Finite Block Method (FBM) has been developed to deal with 3D semi-infinite structures in the bimodular materials in this paper. The Lagrange polynomial interpolation is utilized to construct the meshless shape function with the mapping technique to transform the irregular finite domain or semi-infinite physical solids into a normalized domain. A shear modulus strategy is developed to present the nonlinear characteristics of bimodular material. In order to verify the efficiency and accuracy of FBM, the numerical results are compared with both analytical and numerical solutions provided by Finite Element Method (FEM) in four examples. MDPI 2022-01-15 /pmc/articles/PMC8779496/ /pubmed/35057358 http://dx.doi.org/10.3390/ma15020641 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Huang, Wang
Yang, Jianjun
Sladek, Jan
Sladek, Vladimir
Wen, Pihua
Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title_full Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title_fullStr Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title_full_unstemmed Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title_short Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element
title_sort semi-infinite structure analysis with bimodular materials with infinite element
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8779496/
https://www.ncbi.nlm.nih.gov/pubmed/35057358
http://dx.doi.org/10.3390/ma15020641
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