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Volumn 37, Issue 4, 2013, Pages 2115-2126

Analytical formulation of meshless local integral equation method

Author keywords

Analytical formulation; Meshless local boundary integral equation method; Radial basis function; Weak form

Indexed keywords

ANALYTICAL FORMULATION; BOUNDARY INTEGRALS; CLOSED FORM; COMPUTATIONAL TIME; DIFFERENT SHAPES; ELASTO-STATIC PROBLEM; GOVERNING EQUATIONS; INTEGRAL DOMAINS; LOCAL BOUNDARY INTEGRAL EQUATION METHODS; LOCAL INTEGRAL EQUATIONS; MESHLESS; MESHLESS APPROXIMATION; NUMERICAL INTEGRATIONS; RADIAL BASIS FUNCTIONS; SOLID MECHANICS; TEST FUNCTIONS; UNIT TESTS; WEAK FORM;

EID: 84870242115     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.05.006     Document Type: Article
Times cited : (9)

References (42)
  • 3
    • 0026854272 scopus 로고
    • The dual boundary element method: effective implementation for crack problems
    • Portela A., Aliabadi M.H., Rooke D.P. The dual boundary element method: effective implementation for crack problems. Int. J. Numer. Methods Eng. 1992, 33:1269-1287.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , pp. 1269-1287
    • Portela, A.1    Aliabadi, M.H.2    Rooke, D.P.3
  • 4
    • 0003030549 scopus 로고
    • Dual boundary element analysis of cracked plates: singularity subtraction technique
    • Portela A., Aliabadi M.H., Rooke D.P. Dual boundary element analysis of cracked plates: singularity subtraction technique. Int. J. Fract. 1992, 55:17-28.
    • (1992) Int. J. Fract. , vol.55 , pp. 17-28
    • Portela, A.1    Aliabadi, M.H.2    Rooke, D.P.3
  • 5
    • 67649445131 scopus 로고    scopus 로고
    • Dynamic fracture mechanics: displacement discontinuity method
    • Computational Mechanics Publications, Southampton
    • Wen P.H. Dynamic fracture mechanics: displacement discontinuity method. Topics in Engineering 1996, vol. 29. Computational Mechanics Publications, Southampton.
    • (1996) Topics in Engineering , vol.29
    • Wen, P.H.1
  • 6
    • 10644288753 scopus 로고    scopus 로고
    • The boundary element method
    • Wiley, Chicester
    • Wrobel L.C. The boundary element method. Application to Thermo-fluids 2002, vol. 1. Wiley, Chicester.
    • (2002) Application to Thermo-fluids , vol.1
    • Wrobel, L.C.1
  • 7
    • 76449114595 scopus 로고    scopus 로고
    • Hierarchical adaptive cross approximation GMRES technique for solution of acoustic problems using the boundary element method
    • Brancati A., Aliabadi M.H., Bendetti I. Hierarchical adaptive cross approximation GMRES technique for solution of acoustic problems using the boundary element method. CMES - Comput. Model. Eng. Sci. 2009, 43:149-172.
    • (2009) CMES - Comput. Model. Eng. Sci. , vol.43 , pp. 149-172
    • Brancati, A.1    Aliabadi, M.H.2    Bendetti, I.3
  • 8
    • 0018766409 scopus 로고
    • On the application of the boundary element method to plasticity
    • Telles J.C.F., Brebbia C.A. On the application of the boundary element method to plasticity. Appl. Math. Model. 1979, 3:466-470.
    • (1979) Appl. Math. Model. , vol.3 , pp. 466-470
    • Telles, J.C.F.1    Brebbia, C.A.2
  • 9
    • 0029238652 scopus 로고
    • The dual boundary element formulation for elastoplastic fracture mechanics
    • Leitao V., Aliabadi M.H., Rooke D.P. The dual boundary element formulation for elastoplastic fracture mechanics. Int. J. Numer. Methods Eng. 1995, 38:315-333.
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 315-333
    • Leitao, V.1    Aliabadi, M.H.2    Rooke, D.P.3
  • 10
    • 49249119783 scopus 로고    scopus 로고
    • Dual boundary element analysis for time-dependent fracture problems in creeping materials
    • Pindea E., Aliabadi M.H. Dual boundary element analysis for time-dependent fracture problems in creeping materials. Key Eng. Mater. 2008, 383:109-121.
    • (2008) Key Eng. Mater. , vol.383 , pp. 109-121
    • Pindea, E.1    Aliabadi, M.H.2
  • 11
    • 33646183115 scopus 로고    scopus 로고
    • Wear simulation using an incremental sliding boundary element method
    • Sfantos G.K., Aliabadi M.H. Wear simulation using an incremental sliding boundary element method. WEAR 2006, 260:1119-1128.
    • (2006) WEAR , vol.260 , pp. 1119-1128
    • Sfantos, G.K.1    Aliabadi, M.H.2
  • 12
    • 0027035536 scopus 로고
    • Generalizing the finite element method: diffuse approximation and diffuse elements
    • Nayroles B., Touzot G., Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 1992, 10:307-318.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 16
    • 33846882001 scopus 로고    scopus 로고
    • Comparative study of meshless approximations in local integral equation method
    • Sladek V., Sladek J., Zhang Ch. Comparative study of meshless approximations in local integral equation method. CMC: Comput. Mater. Cont. 2006, 4:177-188.
    • (2006) CMC: Comput. Mater. Cont. , vol.4 , pp. 177-188
    • Sladek, V.1    Sladek, J.2    Zhang, C.3
  • 17
    • 49549107726 scopus 로고    scopus 로고
    • An improved meshless collocation method for elastostatic and elastodynamic problems
    • Wen P.H., Aliabadi M.H. An improved meshless collocation method for elastostatic and elastodynamic problems. Commun. Numer. Methods Eng. 2008, 24(8):635-651.
    • (2008) Commun. Numer. Methods Eng. , vol.24 , Issue.8 , pp. 635-651
    • Wen, P.H.1    Aliabadi, M.H.2
  • 18
    • 0037369044 scopus 로고    scopus 로고
    • The meshless regular hybrid boundary node method for 2D linear elasticity
    • Zhang J., Yao Zhenhan, Tanaka M. The meshless regular hybrid boundary node method for 2D linear elasticity. Eng. Anal. Boundary Elem. 2003, 27:259-268.
    • (2003) Eng. Anal. Boundary Elem. , vol.27 , pp. 259-268
    • Zhang, J.1    Yao, Z.2    Tanaka, M.3
  • 19
    • 33750582407 scopus 로고    scopus 로고
    • Zhangfei ZhangApplication of MLPG in large deformation analysis
    • (English Series)
    • Zhang Xi, Yao Zhenhan Zhangfei ZhangApplication of MLPG in large deformation analysis. Acta Mech. Sin. 2006, 22:331-340. (English Series).
    • (2006) Acta Mech. Sin. , vol.22 , pp. 331-340
    • Zhang, X.1    Yao, Z.2
  • 20
    • 33749817386 scopus 로고    scopus 로고
    • On the NGF procedure for LBIE elastostatic fracture mechanics
    • Miers L.S., Telles J.C.F. On the NGF procedure for LBIE elastostatic fracture mechanics. Comput. Model. Eng. Sci. 2006, 14:161-169.
    • (2006) Comput. Model. Eng. Sci. , vol.14 , pp. 161-169
    • Miers, L.S.1    Telles, J.C.F.2
  • 21
    • 79955572747 scopus 로고    scopus 로고
    • Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method
    • Khosravifard A., Hematiyan M.R., Marin L. Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method. Appl. Math. Model. 2011, 35:4157-4174.
    • (2011) Appl. Math. Model. , vol.35 , pp. 4157-4174
    • Khosravifard, A.1    Hematiyan, M.R.2    Marin, L.3
  • 22
    • 79959356974 scopus 로고    scopus 로고
    • Reproducing polynomial particle methods for boundary integral equations
    • Oh Hae-Soo, Davis C., Kim J.G., Kwon Y.-H. Reproducing polynomial particle methods for boundary integral equations. Comput. Mech. 2011, 1-19.
    • (2011) Comput. Mech. , pp. 1-19
    • Oh, H.-S.1    Davis, C.2    Kim, J.G.3    Kwon, Y.-H.4
  • 23
    • 79955094327 scopus 로고    scopus 로고
    • A meshless method for nonhomogeneous polyharmonic problems using method of fundamental solution coupled with quasi-interpolation technique
    • Li Xiaolin, Li Shuling A meshless method for nonhomogeneous polyharmonic problems using method of fundamental solution coupled with quasi-interpolation technique. Appl. Math. Model. 2011, 35:3698-3709.
    • (2011) Appl. Math. Model. , vol.35 , pp. 3698-3709
    • Li, X.1    Li, S.2
  • 24
    • 79951604512 scopus 로고    scopus 로고
    • A meshless cohesive segments method for crack initiation and propagation in composites
    • Barbieri E., Meo M.A. A meshless cohesive segments method for crack initiation and propagation in composites. Appl. Compos. Mater. 2011, 18:45-63.
    • (2011) Appl. Compos. Mater. , vol.18 , pp. 45-63
    • Barbieri, E.1    Meo, M.A.2
  • 25
    • 78650775658 scopus 로고    scopus 로고
    • Truly meshless localized type techniques for the steady-state heat conduction problems for isotropic and functionally graded materials
    • Skouras E.D., Bourantas G.C., Loukopoulos V.C., Nikiforidis G.C. Truly meshless localized type techniques for the steady-state heat conduction problems for isotropic and functionally graded materials. Eng. Anal. Boundary Elem. 2011, 35:452-464.
    • (2011) Eng. Anal. Boundary Elem. , vol.35 , pp. 452-464
    • Skouras, E.D.1    Bourantas, G.C.2    Loukopoulos, V.C.3    Nikiforidis, G.C.4
  • 26
    • 78249254293 scopus 로고    scopus 로고
    • Meshless analysis of cracked functionally graded materials under thermal shock
    • Nazari M.B., Shariati M., Eslami M.R., Hassani B. Meshless analysis of cracked functionally graded materials under thermal shock. Mechanika 2010, 4(20-7).
    • (2010) Mechanika , vol.4 , Issue.7-20
    • Nazari, M.B.1    Shariati, M.2    Eslami, M.R.3    Hassani, B.4
  • 27
    • 77957580799 scopus 로고    scopus 로고
    • Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method
    • Ferronato M., Mazzia A., Pini G.A. Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method. Comput. Model. Eng. Sci. 2010, 62:205-223.
    • (2010) Comput. Model. Eng. Sci. , vol.62 , pp. 205-223
    • Ferronato, M.1    Mazzia, A.2    Pini, G.A.3
  • 28
    • 77957578401 scopus 로고    scopus 로고
    • Elastic moduli of woven fabric composite by Meshless Local Petrov-Galerkin (MLPG)
    • Wen P.H., Aliabadi M.H. Elastic moduli of woven fabric composite by Meshless Local Petrov-Galerkin (MLPG). Method Comput. Model. Eng. Sci. 2010, 61:133-154.
    • (2010) Method Comput. Model. Eng. Sci. , vol.61 , pp. 133-154
    • Wen, P.H.1    Aliabadi, M.H.2
  • 29
    • 55349086516 scopus 로고    scopus 로고
    • Meshless method for crack analysis in functionally graded materials with enriched radial base functions
    • Wen P.H., Aliabadi M.H., Liu Y.W. Meshless method for crack analysis in functionally graded materials with enriched radial base functions. Comput. Model. Eng. Sci. 2008, 30:133-147.
    • (2008) Comput. Model. Eng. Sci. , vol.30 , pp. 133-147
    • Wen, P.H.1    Aliabadi, M.H.2    Liu, Y.W.3
  • 30
    • 49549107726 scopus 로고    scopus 로고
    • An improved meshless collocation method for elastostatic and elastodynamic problems
    • Wen P.H., Aliabadi M.H. An improved meshless collocation method for elastostatic and elastodynamic problems. Commun. Numer. Methods Eng. 2008, 24:635-651.
    • (2008) Commun. Numer. Methods Eng. , vol.24 , pp. 635-651
    • Wen, P.H.1    Aliabadi, M.H.2
  • 31
    • 33744969602 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis
    • Sladek J., Sladek V., Wen P.H., Aliabadi M.H. Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis. Comput. Model. Eng. Sci. 2006, 13:103-117.
    • (2006) Comput. Model. Eng. Sci. , vol.13 , pp. 103-117
    • Sladek, J.1    Sladek, V.2    Wen, P.H.3    Aliabadi, M.H.4
  • 32
    • 79951677951 scopus 로고    scopus 로고
    • A variational approach for evaluation of stress intensity factors using the element free Galerkin method
    • Wen P.H., Aliabadi M.H. A variational approach for evaluation of stress intensity factors using the element free Galerkin method. Int. J. Solids Struct. 2011, 48:1171-1179.
    • (2011) Int. J. Solids Struct. , vol.48 , pp. 1171-1179
    • Wen, P.H.1    Aliabadi, M.H.2
  • 33
    • 69249093724 scopus 로고    scopus 로고
    • Evaluation of mixed-mode stress intensity factors by the mesh-free Galerkin method: static and dynamic
    • Wen P.H., Aliabadi M.H. Evaluation of mixed-mode stress intensity factors by the mesh-free Galerkin method: static and dynamic. J. Strain Anal. Eng. Design 2009, 44:273-286.
    • (2009) J. Strain Anal. Eng. Design , vol.44 , pp. 273-286
    • Wen, P.H.1    Aliabadi, M.H.2
  • 34
    • 76949102379 scopus 로고    scopus 로고
    • Meshless method with enriched radial basis functions for fracture mechanics
    • Wen P.H., Aliabadi M.H. Meshless method with enriched radial basis functions for fracture mechanics. SDHM Struct. Durability Health Monitor. 2007, 3:107-119.
    • (2007) SDHM Struct. Durability Health Monitor. , vol.3 , pp. 107-119
    • Wen, P.H.1    Aliabadi, M.H.2
  • 35
    • 84966237423 scopus 로고
    • Surfaces generated by moving least square methods
    • Lancaster P., Salkauskas K. Surfaces generated by moving least square methods. Math. Comput. 1981, 37:141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 36
    • 0030181559 scopus 로고    scopus 로고
    • Improved multiquadric approximation for partial differential equations
    • Golgerg M.A., Chen C.S., Karur S.R. Improved multiquadric approximation for partial differential equations. Eng. Anal. Boundary Elem. 1996, 18:9-17.
    • (1996) Eng. Anal. Boundary Elem. , vol.18 , pp. 9-17
    • Golgerg, M.A.1    Chen, C.S.2    Karur, S.R.3
  • 37
    • 77955471289 scopus 로고    scopus 로고
    • Local integral equations implemented by MLS-approximation and analytical integrations
    • Sladek V., Sladek J. Local integral equations implemented by MLS-approximation and analytical integrations. Eng. Anal. Boundary Elem. 2010, 34:904-913.
    • (2010) Eng. Anal. Boundary Elem. , vol.34 , pp. 904-913
    • Sladek, V.1    Sladek, J.2
  • 38
    • 77957714253 scopus 로고    scopus 로고
    • On increasing computational efficiency of local integral equation method combined with meshless implementations
    • Sladek V., Sladek J., Zhang Ch. On increasing computational efficiency of local integral equation method combined with meshless implementations. CMES - Comput. Model. Eng. Sci. 2010, 63:243-263.
    • (2010) CMES - Comput. Model. Eng. Sci. , vol.63 , pp. 243-263
    • Sladek, V.1    Sladek, J.2    Zhang, C.3
  • 39
    • 0034484297 scopus 로고    scopus 로고
    • Stiffened cracked plates analysis by dual boundary element method
    • Wen P.H., Aliabadi M.H., Young A. Stiffened cracked plates analysis by dual boundary element method. Int. J. Fract. 2000, 106:245-258.
    • (2000) Int. J. Fract. , vol.106 , pp. 245-258
    • Wen, P.H.1    Aliabadi, M.H.2    Young, A.3
  • 40
    • 84870252667 scopus 로고    scopus 로고
    • ABAQUS Analysis User's Manual, ABAQUS, Inc.
    • ABAQUS Analysis User's Manual, ABAQUS, Inc., 2006.
    • (2006)
  • 41
    • 84855467319 scopus 로고    scopus 로고
    • Analysis of functionally graded plates by meshless method: a purely analytical formulation
    • Wen P.H., Aliabadi M.H. Analysis of functionally graded plates by meshless method: a purely analytical formulation. Eng. Anal. Boundary Elem. 2012, 36(5):639-650.
    • (2012) Eng. Anal. Boundary Elem. , vol.36 , Issue.5 , pp. 639-650
    • Wen, P.H.1    Aliabadi, M.H.2
  • 42
    • 80053970396 scopus 로고    scopus 로고
    • Meshfree modeling and homogenization of 3D orthogonal woven composites
    • Li L.Y., Wen P.H., Aliabadi M.H. Meshfree modeling and homogenization of 3D orthogonal woven composites. Compos. Sci. Technol. 2011, 71(15):1777-1788.
    • (2011) Compos. Sci. Technol. , vol.71 , Issue.15 , pp. 1777-1788
    • Li, L.Y.1    Wen, P.H.2    Aliabadi, M.H.3


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