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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 54, 2008 - Issue 12
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Original Articles

A Node-based Smoothed Point Interpolation Method (NS-PIM) for Three-dimensional Thermoelastic Problems

S. C. Wu State Key Laboratory of Digital Manufacturing and Equipment Technology, Huazhong, University of Science and Technology, Wuhan, People's Repulic of China; Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, SingaporeCorrespondence[email protected]
,
G. R. Liu Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, Singapore; Singapore-MIT Alliance (SMA), Singapore
,
H. O. Zhang State Key Laboratory of Digital Manufacturing and Equipment Technology, Huazhong, University of Science and Technology, Wuhan, People's Repulic of China
&
G. Y. Zhang Singapore-MIT Alliance (SMA), Singapore
Pages 1121-1147 | Received 29 Jul 2008, Accepted 03 Sep 2008, Published online: 18 Nov 2008

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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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Articles from other publishers (21)

Ashkan Shafee & Arman Khoshghalb. (2021) An improved node-based smoothed point interpolation method for coupled hydro-mechanical problems in geomechanics. Computers and Geotechnics 139, pages 104415.
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Shuai Zhang, Yong Cai, Hu Wang, Enying Li, Guangyao Li & Yunqiang Wu. (2020) A fast reanalysis solver for 3D transient thermo-mechanical problems with temperature-dependent materials. Computers & Structures 238, pages 106298.
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Bing Wang, Yong Cai, Zichao Li, Chensen Ding, Tianjuan Yang & Xiangyang Cui. (2020) Stochastic stable node-based smoothed finite element method for uncertainty and reliability analysis of thermo-mechanical problems. Engineering Analysis with Boundary Elements 114, pages 23-44.
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Liming Zhou, Shuhui Ren, Bin Nie, Hongrong Yang & Peng Liu. (2019) Magneto-electro-elastic node-based smoothed point interpolation method for micromechanical analysis of natural frequencies of nanobeams. Acta Mechanica 230:10, pages 3645-3666.
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Yanchun Tong. (2018) High precision solution for thermo-elastic equations using stable node-based smoothed finite element method. Applied Mathematics and Computation 336, pages 272-287.
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Hobeom Kim & Seyoung Im. (2017) Polyhedral smoothed finite element method for thermoelastic analysis. Journal of Mechanical Science and Technology 31:12, pages 5937-5949.
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J. Belinha, J. M. C. Azevedo, L. M. J. S. Dinis & R. M. Natal Jorge. (2017) The Natural Neighbor Radial Point Interpolation Method in Computational Fracture Mechanics: A 2D Preliminary Study. International Journal of Computational Methods 14:04, pages 1750045.
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Eric Li, Z.C. He, Qian Tang & G.Y. Zhang. (2017) Large time steps in the explicit formulation of transient heat transfer. International Journal of Heat and Mass Transfer 108, pages 2040-2052.
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X.Y. Cui, Z.C. Li, H. Feng & S.Z. Feng. (2016) Steady and transient heat transfer analysis using a stable node-based smoothed finite element method. International Journal of Thermal Sciences 110, pages 12-25.
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J.H. Yue, M. Li, G.R. Liu & R.P. Niu. (2016) Proofs of the stability and convergence of a weakened weak method using PIM shape functions. Computers & Mathematics with Applications 72:4, pages 933-951.
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G. R. Liu. (2016) On Partitions of Unity Property of Nodal Shape Functions: Rigid-Body-Movement Reproduction and Mass Conservation. International Journal of Computational Methods 13:02, pages 1640003.
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Y. LI, M. LI & G. R. LIU. (2013) A MODIFIED TRIANGULATION ALGORITHM TAILORED FOR THE SMOOTHED FINITE ELEMENT METHOD (S-FEM). International Journal of Computational Methods 11:01, pages 1350069.
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S.Z. Feng, X.Y. Cui, G.Y. Li, H. Feng & F.X. Xu. (2013) Thermo-mechanical analysis of functionally graded cylindrical vessels using edge-based smoothed finite element method. International Journal of Pressure Vessels and Piping 111-112, pages 302-309.
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B. Y. XUE, S. C. WU, W. H. ZHANG & G. R. LIU. (2013) A SMOOTHED FEM (S-FEM) FOR HEAT TRANSFER PROBLEMS. International Journal of Computational Methods 10:01, pages 1340001.
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Mohammad Javad Kazemzadeh-Parsi & Farhang Daneshmand. (2013) Three dimensional smoothed fixed grid finite element method for the solution of unconfined seepage problems. Finite Elements in Analysis and Design 64, pages 24-35.
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J. Cheng, X. L. Chang, S. C. Wu & G. Y. Zhang. (2009) Certified solutions for hydraulic structures using the node‐based smoothed point interpolation method (NS‐PIM). International Journal for Numerical and Analytical Methods in Geomechanics 34:15, pages 1560-1585.
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S.C. Wu, G.R. Liu, X.Y. Cui, T.T. Nguyen & G.Y. Zhang. (2010) An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system. International Journal of Heat and Mass Transfer 53:9-10, pages 1938-1950.
Crossref
G Liu. 2009. Meshfree Methods. Meshfree Methods 275 383 .
X.Y. Cui, G.R. Liu, G.Y. Li, G.Y. Zhang & G.Y. Sun. (2009) Analysis of elastic–plastic problems using edge-based smoothed finite element method. International Journal of Pressure Vessels and Piping 86:10, pages 711-718.
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G. R. LIU. (2011) ON G SPACE THEORY. International Journal of Computational Methods 06:02, pages 257-289.
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G. R. Liu, X. Xu, G. Y. Zhang & Y. T. Gu. (2008) An extended Galerkin weak form and a point interpolation method with continuous strain field and superconvergence using triangular mesh. Computational Mechanics 43:5, pages 651-673.
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