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Article

Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element

1
School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, China
2
Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
3
School of Engineering and Materials Science, Queen Mary University of London, London E1 4NS, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Enrique Casarejos
Materials 2022, 15(2), 641; https://doi.org/10.3390/ma15020641
Received: 27 November 2021 / Revised: 11 January 2022 / Accepted: 13 January 2022 / Published: 15 January 2022
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. View Full-Text
Keywords: meshless method; finite block method; semi-infinite structure; bimodular material; mapping technique; infinite element meshless method; finite block method; semi-infinite structure; bimodular material; mapping technique; infinite element
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MDPI and ACS Style

Huang, W.; Yang, J.; Sladek, J.; Sladek, V.; Wen, P. Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element. Materials 2022, 15, 641. https://doi.org/10.3390/ma15020641

AMA Style

Huang W, Yang J, Sladek J, Sladek V, Wen P. Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element. Materials. 2022; 15(2):641. https://doi.org/10.3390/ma15020641

Chicago/Turabian Style

Huang, Wang, Jianjun Yang, Jan Sladek, Vladimir Sladek, and Pihua Wen. 2022. "Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element" Materials 15, no. 2: 641. https://doi.org/10.3390/ma15020641

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