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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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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. |
format | Online Article Text |
id | pubmed-8779496 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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