메뉴 건너뛰기




Volumn 86, Issue 15-16, 2008, Pages 1656-1671

Analytical integral algorithm applied to boundary layer effect and thin body effect in BEM for anisotropic potential problems

Author keywords

Analytical integral; Anisotropic potential problem; BEM; Boundary layer effect; Nearly singular integrals; Thin body effect

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; BOUNDARY LAYERS; HEAT CONDUCTION; PROBLEM SOLVING;

EID: 42949091441     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2007.10.002     Document Type: Article
Times cited : (114)

References (42)
  • 2
  • 3
    • 0003664355 scopus 로고    scopus 로고
    • Sladek V., and Sladek J. (Eds), Computational Mechanics Publications, Southampton
    • In: Sladek V., and Sladek J. (Eds). Singular integrals in boundary element methods (1998), Computational Mechanics Publications, Southampton
    • (1998) Singular integrals in boundary element methods
  • 4
    • 0016871823 scopus 로고
    • Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics
    • Lachat J.C., and Watson J.O. Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics. Int J Numer Meth Eng 10 (1976) 991-1005
    • (1976) Int J Numer Meth Eng , vol.10 , pp. 991-1005
    • Lachat, J.C.1    Watson, J.O.2
  • 5
    • 0032210295 scopus 로고    scopus 로고
    • An effective method for finding values on and near boundaries in the elastic BEM
    • Chen H.B., Lu P., Huang M.G., and Williams F.W. An effective method for finding values on and near boundaries in the elastic BEM. Comput Struct 69 4 (1998) 421-431
    • (1998) Comput Struct , vol.69 , Issue.4 , pp. 421-431
    • Chen, H.B.1    Lu, P.2    Huang, M.G.3    Williams, F.W.4
  • 6
    • 0033101556 scopus 로고    scopus 로고
    • Domain supplemental approach to avoid boundary layer effect of BEM in elasticity
    • Ma H., and Kamiya N. Domain supplemental approach to avoid boundary layer effect of BEM in elasticity. Eng Anal Bound Elem 23 (1999) 281-284
    • (1999) Eng Anal Bound Elem , vol.23 , pp. 281-284
    • Ma, H.1    Kamiya, N.2
  • 7
    • 0035546608 scopus 로고    scopus 로고
    • A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
    • Ma H., and Kamiya N. A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM. Eng Anal Bound Elem 25 (2001) 833-841
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 833-841
    • Ma, H.1    Kamiya, N.2
  • 8
    • 0036532073 scopus 로고    scopus 로고
    • Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
    • Ma H., and Kamiya N. Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method. Eng Anal Bound Elem 26 (2002) 329-339
    • (2002) Eng Anal Bound Elem , vol.26 , pp. 329-339
    • Ma, H.1    Kamiya, N.2
  • 9
    • 0036814988 scopus 로고    scopus 로고
    • A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
    • Ma H., and Kamiya N. A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity. Comput Mech 29 (2002) 277-288
    • (2002) Comput Mech , vol.29 , pp. 277-288
    • Ma, H.1    Kamiya, N.2
  • 10
    • 0039336967 scopus 로고    scopus 로고
    • Optimal transformations of the integration variables in computation of singular integrals in BEM
    • Sladak V., Sladek J., and Tanaka M. Optimal transformations of the integration variables in computation of singular integrals in BEM. Int J Numer Methods Eng 47 (2000) 1263-1283
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1263-1283
    • Sladak, V.1    Sladek, J.2    Tanaka, M.3
  • 11
    • 0242489290 scopus 로고    scopus 로고
    • Exact integration in the boundary element method for two-dimensional elastostatic problems
    • Zhang X.S., and Zhang X.X. Exact integration in the boundary element method for two-dimensional elastostatic problems. Eng Anal Bound Elem 27 (2003) 987-997
    • (2003) Eng Anal Bound Elem , vol.27 , pp. 987-997
    • Zhang, X.S.1    Zhang, X.X.2
  • 12
    • 3142756439 scopus 로고    scopus 로고
    • Exact integrations of two-dimensional high-order discontinuous boundary elements of elastostatic problems
    • Zhang X.S., and Zhang X.X. Exact integrations of two-dimensional high-order discontinuous boundary elements of elastostatic problems. Eng Anal Bound Elem 28 (2004) 725-732
    • (2004) Eng Anal Bound Elem , vol.28 , pp. 725-732
    • Zhang, X.S.1    Zhang, X.X.2
  • 13
    • 3142749250 scopus 로고    scopus 로고
    • Exact integration for stress evaluation in the boundary element analysis of two-dimensional elastostatics
    • Zhang X.S., and Zhang X.X. Exact integration for stress evaluation in the boundary element analysis of two-dimensional elastostatics. Eng Anal Bound Elem 28 (2004) 997-1004
    • (2004) Eng Anal Bound Elem , vol.28 , pp. 997-1004
    • Zhang, X.S.1    Zhang, X.X.2
  • 14
    • 1542318629 scopus 로고    scopus 로고
    • A general algorithm for calculating the quantities at interior points close to the boundary by the BEM
    • [in Chinese]
    • Niu Z.R., Wang X.X., and Zhou H.L. A general algorithm for calculating the quantities at interior points close to the boundary by the BEM. Acta Mech Sin 33 2 (2001) 275-283 [in Chinese]
    • (2001) Acta Mech Sin , vol.33 , Issue.2 , pp. 275-283
    • Niu, Z.R.1    Wang, X.X.2    Zhou, H.L.3
  • 15
    • 33750869254 scopus 로고    scopus 로고
    • A non-singular algorithm for the evaluation of the nearly singular integrals in boundary element methods
    • [in Chinese]
    • Niu Z.R., Wang X.X., and Zhou H.L. A non-singular algorithm for the evaluation of the nearly singular integrals in boundary element methods. Chin J Appl Mech 18 4 (2001) 1-8 [in Chinese]
    • (2001) Chin J Appl Mech , vol.18 , Issue.4 , pp. 1-8
    • Niu, Z.R.1    Wang, X.X.2    Zhou, H.L.3
  • 16
    • 1542272602 scopus 로고    scopus 로고
    • Regularization of nearly singular integrals in the BEM of potential problems
    • Zhou H.L., Niu Z.R., and Wang X.X. Regularization of nearly singular integrals in the BEM of potential problems. Appl Math Mech 24 10 (2003) 1208-1214
    • (2003) Appl Math Mech , vol.24 , Issue.10 , pp. 1208-1214
    • Zhou, H.L.1    Niu, Z.R.2    Wang, X.X.3
  • 17
    • 12444306328 scopus 로고    scopus 로고
    • A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
    • Niu Z.R., Wendland W.L., Wang X.X., and Zhou H.L. A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods. Comput Meth Appl Mech Eng 194 (2005) 1057-1074
    • (2005) Comput Meth Appl Mech Eng , vol.194 , pp. 1057-1074
    • Niu, Z.R.1    Wendland, W.L.2    Wang, X.X.3    Zhou, H.L.4
  • 18
    • 29244492336 scopus 로고    scopus 로고
    • Regularization of nearly singular integrals in the boundary element method for 3-D potential problems
    • [in Chinese]
    • Zhou H.L., Niu Z.R., and Wang X.X. Regularization of nearly singular integrals in the boundary element method for 3-D potential problems. Chin J Comput Phys 22 6 (2005) 501-506 [in Chinese]
    • (2005) Chin J Comput Phys , vol.22 , Issue.6 , pp. 501-506
    • Zhou, H.L.1    Niu, Z.R.2    Wang, X.X.3
  • 19
    • 34547451111 scopus 로고    scopus 로고
    • A novel boundary integral equation method for linear elasticity-natural boundary integral equation
    • Niu Z.R., Wang X.X., Zhou H.L., and Zhang C.L. A novel boundary integral equation method for linear elasticity-natural boundary integral equation. Acta Mech Solida Sin 22 2 (2001) 111-119
    • (2001) Acta Mech Solida Sin , vol.22 , Issue.2 , pp. 111-119
    • Niu, Z.R.1    Wang, X.X.2    Zhou, H.L.3    Zhang, C.L.4
  • 20
    • 0346094019 scopus 로고    scopus 로고
    • The natural boundary integral equation in potential problems and regularization of the hypersingular integral
    • Niu Z.R., and Zhou H.L. The natural boundary integral equation in potential problems and regularization of the hypersingular integral. Comput Struct 82 (2004) 315-323
    • (2004) Comput Struct , vol.82 , pp. 315-323
    • Niu, Z.R.1    Zhou, H.L.2
  • 21
    • 0001310447 scopus 로고
    • Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
    • Sladek V., Sladek J., and Tanaka M. Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems. Acta Mech 99 (1993) 173-190
    • (1993) Acta Mech , vol.99 , pp. 173-190
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3
  • 22
    • 0031997408 scopus 로고    scopus 로고
    • Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification
    • Liu Y.J. Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification. Int J Numer Methods Eng 41 (1998) 541-558
    • (1998) Int J Numer Methods Eng , vol.41 , pp. 541-558
    • Liu, Y.J.1
  • 23
    • 0032321269 scopus 로고    scopus 로고
    • Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
    • Luo J.F., Liu Y.J., and Berger E.J. Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Comput Mech 22 (1998) 404-412
    • (1998) Comput Mech , vol.22 , pp. 404-412
    • Luo, J.F.1    Liu, Y.J.2    Berger, E.J.3
  • 24
    • 0342483881 scopus 로고    scopus 로고
    • Interfacial stress analysis for multi-coating systems using an advanced boundary element method
    • Luo J.F., Liu Y.J., and Berger E.J. Interfacial stress analysis for multi-coating systems using an advanced boundary element method. Comput Mech 24 (2000) 448-455
    • (2000) Comput Mech , vol.24 , pp. 448-455
    • Luo, J.F.1    Liu, Y.J.2    Berger, E.J.3
  • 25
    • 0008796279 scopus 로고    scopus 로고
    • Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method
    • Chen X.L., and Liu Y.J. Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. CMES 2 (2001) 337-349
    • (2001) CMES , vol.2 , pp. 337-349
    • Chen, X.L.1    Liu, Y.J.2
  • 26
    • 0035247171 scopus 로고    scopus 로고
    • On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes
    • Liu Y.J., and Fan H. On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes. Eng Anal Bound Elem 25 (2001) 77-91
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 77-91
    • Liu, Y.J.1    Fan, H.2
  • 27
    • 0037087876 scopus 로고    scopus 로고
    • Analysis of thin piezoelectric solids by the boundary element method
    • Liu Y.J., and Fan H. Analysis of thin piezoelectric solids by the boundary element method. Comput Methods Appl Eng 191 (2002) 2297-2315
    • (2002) Comput Methods Appl Eng , vol.191 , pp. 2297-2315
    • Liu, Y.J.1    Fan, H.2
  • 28
    • 42949171239 scopus 로고    scopus 로고
    • Zhou HL. Study on boundary layer effect and thin body effect in the BEM. PhD dissertation, University of Science and Technology of China, Hefei; 2003 [in Chinese].
    • Zhou HL. Study on boundary layer effect and thin body effect in the BEM. PhD dissertation, University of Science and Technology of China, Hefei; 2003 [in Chinese].
  • 29
    • 34547452670 scopus 로고    scopus 로고
    • Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
    • Zhou H.L., Niu Z.R., Cheng C.Z., and Guan Z.W. Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies. Eng Anal Bound Elem 31 (2007) 739-748
    • (2007) Eng Anal Bound Elem , vol.31 , pp. 739-748
    • Zhou, H.L.1    Niu, Z.R.2    Cheng, C.Z.3    Guan, Z.W.4
  • 30
    • 35648987056 scopus 로고    scopus 로고
    • Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
    • Niu Z.R., Cheng C.Z., Zhou H.L., and Hu Z.J. Analytic formulations for calculating nearly singular integrals in two-dimensional BEM. Eng Anal Bound Elem 31 (2007) 949-964
    • (2007) Eng Anal Bound Elem , vol.31 , pp. 949-964
    • Niu, Z.R.1    Cheng, C.Z.2    Zhou, H.L.3    Hu, Z.J.4
  • 31
    • 33751424310 scopus 로고    scopus 로고
    • The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method
    • Tadeu A., Mendes P.A., and Antonio J. The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method. Comput Struct 84 (2006) 2244-2253
    • (2006) Comput Struct , vol.84 , pp. 2244-2253
    • Tadeu, A.1    Mendes, P.A.2    Antonio, J.3
  • 32
    • 33751027221 scopus 로고    scopus 로고
    • Accurate modeling of rigid and soft inclusions in 2D elastic solids by the boundary element method
    • Leite L.G.S., and Venturini W.S. Accurate modeling of rigid and soft inclusions in 2D elastic solids by the boundary element method. Comput Struct 84 (2006) 1874-1881
    • (2006) Comput Struct , vol.84 , pp. 1874-1881
    • Leite, L.G.S.1    Venturini, W.S.2
  • 33
    • 0033736992 scopus 로고    scopus 로고
    • Exact boundary element integrations for two-dimensional Laplace equation
    • Fratantonio M., and Rencis J.J. Exact boundary element integrations for two-dimensional Laplace equation. Eng Anal Bound Elem 24 (2000) 325-342
    • (2000) Eng Anal Bound Elem , vol.24 , pp. 325-342
    • Fratantonio, M.1    Rencis, J.J.2
  • 34
    • 0036606225 scopus 로고    scopus 로고
    • A linear analytical boundary element method (BEM) for 2D homogeneous potential problems
    • Friedrich J. A linear analytical boundary element method (BEM) for 2D homogeneous potential problems. Comput Geosci 28 (2002) 679-692
    • (2002) Comput Geosci , vol.28 , pp. 679-692
    • Friedrich, J.1
  • 35
    • 0035246786 scopus 로고    scopus 로고
    • A comparison of boundary element method formulations for steady state anisotropic heat conduction problems
    • Mera N.S., Elliott L., Ingham D.B., and Lesnic D. A comparison of boundary element method formulations for steady state anisotropic heat conduction problems. Eng Anal Bound Elem 25 (2001) 115-128
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 115-128
    • Mera, N.S.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 36
    • 0035362569 scopus 로고    scopus 로고
    • Analytic integration of kernel shape function product integrals in the boundary element method
    • Padhi G.S., Shenoi R.A., Moy S.S.J., and McCarthy M.A. Analytic integration of kernel shape function product integrals in the boundary element method. Comput Struct 79 (2001) 1325-1333
    • (2001) Comput Struct , vol.79 , pp. 1325-1333
    • Padhi, G.S.1    Shenoi, R.A.2    Moy, S.S.J.3    McCarthy, M.A.4
  • 37
    • 0031377168 scopus 로고    scopus 로고
    • The elastostatic three-dimensional boundary element method analytical integration for linear isoparametric triangular elements
    • Milroy J., Hinduja S., and Davey K. The elastostatic three-dimensional boundary element method analytical integration for linear isoparametric triangular elements. Appl Math Model 21 (1997) 763-782
    • (1997) Appl Math Model , vol.21 , pp. 763-782
    • Milroy, J.1    Hinduja, S.2    Davey, K.3
  • 38
    • 0344339062 scopus 로고    scopus 로고
    • Semi-analytical Integration of sub-parametric elements used in the BEM for three-dimensional elastodynamics
    • Davey K., and Alonso Rasgado M.T. Semi-analytical Integration of sub-parametric elements used in the BEM for three-dimensional elastodynamics. Comput Struct 71 (1999) 595-615
    • (1999) Comput Struct , vol.71 , pp. 595-615
    • Davey, K.1    Alonso Rasgado, M.T.2
  • 39
    • 0347985411 scopus 로고    scopus 로고
    • Integration over simplexes for accurate domain and boundary integral evaluation in boundary element methods
    • Davey K., and Alonso Rasgado M.T. Integration over simplexes for accurate domain and boundary integral evaluation in boundary element methods. Comput Struct 82 (2004) 193-211
    • (2004) Comput Struct , vol.82 , pp. 193-211
    • Davey, K.1    Alonso Rasgado, M.T.2
  • 40
    • 0034325708 scopus 로고    scopus 로고
    • CPV and HFP integrals and their applications in the boundary element method
    • Mukherjee S. CPV and HFP integrals and their applications in the boundary element method. Int J Solids Struct 37 (2000) 6623-6634
    • (2000) Int J Solids Struct , vol.37 , pp. 6623-6634
    • Mukherjee, S.1
  • 41
    • 0034557410 scopus 로고    scopus 로고
    • Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity
    • Mukherjee S., Chati M.K., and Shi X.L. Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity. Int J Solids Struct 37 (2000) 7633-7654
    • (2000) Int J Solids Struct , vol.37 , pp. 7633-7654
    • Mukherjee, S.1    Chati, M.K.2    Shi, X.L.3
  • 42
    • 0015679005 scopus 로고
    • The use of fundamental Green's functions for the solution of heat conduction in anisotropic media
    • Chang Y.P., Kang C.S., and Chen D.J. The use of fundamental Green's functions for the solution of heat conduction in anisotropic media. Int J Heat Mass Transfer 16 (1973) 1905-1918
    • (1973) Int J Heat Mass Transfer , vol.16 , pp. 1905-1918
    • Chang, Y.P.1    Kang, C.S.2    Chen, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.