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Computational Mechanics
Erschienen in: Computational Mechanics 1/2014

01.01.2014 | Original Paper

Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method

verfasst von: Yu Miao, Qiao Wang, Hongping Zhu, Yinping Li

Erschienen in: Computational Mechanics | Ausgabe 1/2014

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Abstract

This paper applies the hybrid boundary node method (Hybrid BNM) for the thermal analysis of 3D composites. A new formulation is derived for the inclusion-based composites. In the new formulation, the unknowns of the interfaces are assembled only once in the final system equation, which can reduce nearly one half of degrees of freedom (DOFs) compared with the conventional multi-domain solver when there are lots of inclusions. A new version of the fast multipole method (FMM) is also coupled with the new formulation and the technique is applied to thermal analysis of composites with many inclusions. In the new fast multipole hybrid boundary node method (FM-HBNM), a diagonal form for translation operators is used and the method presented can be applied to the computation of more than 1,000,000 DOFs on a personal computer. Numerical examples are presented to analyze the thermal behavior of composites with many inclusions.
Vorheriger Artikel An efficient dynamic load balancing algorithm
Nächster Artikel Space–time computation techniques with continuous representation in time (ST-C)

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Literatur
1.
Alexander A, Tzeng J (1997) Three dimensional effective properties of composite materials for finite element applications. J Compos Mater 31(5):466–485CrossRef
2.
Islam M, Pramila A (1999) Thermal conductivity of fiber reinforced composites by the fem. J Compos Mater 33(18):1699–1715CrossRef
3.
Nishimura N, Liu Y (2004) Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method. Comput Mech 35(1):1–10CrossRefMATH
4.
Chatterjee J, Henry D, Ma F, Banerjee P (2008) An efficient bem formulation for three-dimensional steady-state heat conduction analysis of composites. Int J Heat Mass Transf 51(5–6):1439–1452CrossRefMATH
5.
6.
Atluri SN, Zhu T (1998) A new meshless local Petrov–Galerkin (mlpg) approach in computational mechanics. Comput Mech 22(2):117–127CrossRefMATHMathSciNet
7.
Mukherjee YX, Mukherjee S (1997) The boundary node method for potential problems. Int J Numer Methods Eng 40(5):797–815CrossRefMATH
8.
9.
Zhang JM, Qin XY, Han X, Li GY (2009) A boundary face method for potential problems in three dimensions. Int J Numer Methods Eng 80(3):320–337CrossRefMATHMathSciNet
10.
11.
Zhang JM, Tanaka M, Matsumoto T (2004) Meshless analysis of potential problems in three dimensions with the hybrid boundary node method. Int J Numer Methods Eng 59:1147–1160CrossRefMATHMathSciNet
12.
Miao Y, Wang YH (2005) Development of hybrid boundary node method in two-dimensional elasticity. Eng Anal Boundary Elem 29:703–712CrossRefMATH
13.
Miao Y, Wang YH (2006) Meshless analysis for three-dimensional elasticity with singular hybrid boundary node method. Appl Math Mech 27(6):673–681CrossRefMATH
14.
Miao Y, Wang Q, Liao BH, Zheng JJ (2009) A dual hybrid boundary node method for 2d elastodynamics problems. CMES Comput Model Eng Sci 53(1):1–22MATH
15.
Miao Y, Wang Y, Wang YH (2009) A meshless hybrid boundary-node method for Helmholtz problems. Eng Anal Boundary Elem 33(2):120–127CrossRefMATHMathSciNet
16.
Wang Q, Zheng JJ, Miao Y, Lv JH (2011) The multi-domain hybrid boundary node method for 3d elasticity. Eng Anal Boundary Elem 35(6):803–810CrossRefMATHMathSciNet
17.
Zhang JM, Tanaka M, Matsumoto T (2004) A simplified approach for heat conduction analysis of cnt-based nano-composites. Comput Methods Appl Mech Eng 193(52):5597–5609CrossRefMATH
18.
Singh IV, Tanaka M, Endo M (2007) Thermal analysis of cnt-based nano-composites by element free Galerkin method. Comput Mech 39(6):719–728CrossRefMATH
19.
20.
Greengard L, Rokhlin V (1987) A fast algorithm for particle simulations. J Comput Phys 73(2):325–348
21.
Zhang JM, Tanaka M, Endo M (2005) The hybrid boundary node method accelerated by fast multipole expansion technique for 3d potential problems. Int J Numer Methods Eng 63(5):660–680CrossRefMATH
22.
Zhang JM, Tanaka M (2007) Systematic study of thermal properties of cnt composites by the fast multipole hybrid boundary node method. Eng Anal Boundary Elem 31(5):388–401CrossRefMATHMathSciNet
23.
Zhang JM, Tanaka M (2008) Fast hdbnm for large-scale thermal analysis of cnt-reinforced composites. Comput Mech 41(6):777–787CrossRefMATH
24.
Wang Q, Miao Y, Zheng JJ (2010) The hybrid boundary node method accelerated by fast multipole expansion technique for 3d elasticity. Comput Model Eng Sci 70(2):123–151MATHMathSciNet
25.
Wang Q, Miao Y, Zhu HP, Zhang C (2012) An O(N) fast multipole hybrid boundary node method for 3D elasticity. Comput Mater Continua 28(1):1–25MATH
26.
27.
Kulkarni SS, Telukunta S, Mukherjee S (2003) Application of an accelerated boundary-based mesh-free method to two-dimensional problems in potential theory. Comput Mech 32(4):240–249CrossRefMATH
28.
Liu YJ, Nishimura N, Yao ZH (2005) A fast multipole accelerated method of fundamental solutions for potential problems. Eng Anal Boundary Elem 29(11):1016–1024CrossRefMATH
29.
Greengard L, Rokhlin V (1997) A new version of the fast multipole method for the laplace equation in three dimensions. Acta Numer 6(1):229–269CrossRefMathSciNet
30.
Yoshida K, Nishimura N, Kobayashi S (2001) Application of new fast multipole boundary integral equation method to crack problems in 3d. Eng Anal Boundary Elem 25(4):239–247CrossRefMATH
31.
Nishimura N (2002) Fast multipole accelerated boundary integral equation methods. Appl Mech Rev 55:299CrossRef
32.
Shen L, Liu Y (2007) An adaptive fast multipole boundary element method for three-dimensional potential problems. Comput Mech 39(6):681–691CrossRefMATHMathSciNet
33.
Bapat MS, Liu YJ (2010) A new adaptive algorithm for the fast multipole boundary element method. Comput Model Eng Sci 58(2):161–184
34.
Saad Y, Schultz MH (1986) Gmres: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 7(3):856–869CrossRefMATHMathSciNet
35.
Cheng H, Greengard L, Rokhlin V (1999) A fast adaptive multipole algorithm in three dimensions. J Comput Phys 155(2):468–498CrossRefMATHMathSciNet
36.
Karris AN (1989) An examination of the mori-tanaka effective medium approximation for multiphase composites. J Appl Mech 56:83–88CrossRef
37.
Dunn M, Taya M, Hatta H, Takei T, Nakajima Y (1993) Thermal conductivity of hybrid short fiber composites. J Compos Mater 27(15):1493–1519CrossRef
38.
Landau LD, Lifšic EM, Sykes JB, Bell JS, Kearsley M, Pitaevskii LP (1960) Electrodynamics of continuous media, vol 364. Pergamon Press, OxfordMATH
39.
Yao ZH, Xu JD, Wang HT, Zheng XP (2009) Simulation of CNT composites using fast multipole BEM. J Mar Sci Technol 17:194–202
Metadaten
Titel
Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method
verfasst von
Yu Miao
Qiao Wang
Hongping Zhu
Yinping Li
Publikationsdatum
01.01.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0893-0

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