메뉴 건너뛰기




Volumn 37, Issue 1, 2005, Pages 32-40

Investigation of 3D crack propagation problems via fast BEM formulations

Author keywords

3D Crack growth; 3D Dual BEM; ACA; Low rank approximation

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; FRACTURE MECHANICS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 27244439351     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-005-0695-0     Document Type: Conference Paper
Times cited : (29)

References (22)
  • 2
    • 0041841599 scopus 로고    scopus 로고
    • Adaptive low-rank approximation of collocation matrices
    • Bebendorf M, Rjasanow S (2003) Adaptive low-rank approximation of collocation matrices. Computing 70:1-24
    • (2003) Computing , vol.70 , pp. 1-24
    • Bebendorf, M.1    Rjasanow, S.2
  • 3
    • 0015250090 scopus 로고
    • Numerical evaluation of elastic stress intensity factors by the boundary integral equation method
    • Swedlow JL (ed) ASME
    • Cruse TA (1972) Numerical evaluation of elastic stress intensity factors by the boundary integral equation method. In: Swedlow JL (ed) The surface crack: physical problems and computational solutions. ASME, pp 153-170
    • (1972) The Surface Crack: Physical Problems and Computational Solutions , pp. 153-170
    • Cruse, T.A.1
  • 4
    • 84930664078 scopus 로고    scopus 로고
    • Simulation of fatigue crack propagation processes in arbitrary three-dimensional structures with the program system ADAPCRACK3D
    • Ravi-Chandar K, Karihaloo BL, Kishi T, Ritchie RO, Yokobori AT and T (eds), ICF10, Honolulu, Hawai
    • Fulland M, Schöllmann M, Richard HA (2001) Simulation of fatigue crack propagation processes in arbitrary three-dimensional structures with the program system ADAPCRACK3D. In: Ravi-Chandar K, Karihaloo BL, Kishi T, Ritchie RO, Yokobori AT and T (eds), Advances in Fracture Research, ICF10, Honolulu, Hawai
    • (2001) Advances in Fracture Research
    • Fulland, M.1    Schöllmann, M.2    Richard, H.A.3
  • 5
    • 27244457450 scopus 로고    scopus 로고
    • Adaptive Recompression of H-Matrices for BEM
    • Accepted for publication in
    • Grasedyck L (2004) Adaptive Recompression of H-Matrices for BEM. Accepted for publication in Computing
    • (2004) Computing
    • Grasedyck, L.1
  • 6
    • 0005228490 scopus 로고
    • Hypersingular boundary integrals equation: A new approach to their numerical treatment
    • Morino L & Piva R (eds) Springer
    • Guiggiani M, Krishnasamy G, Rizzo FJ, Rudolphi TJ (1991) Hypersingular boundary integrals equation: a new approach to their numerical treatment. In: Morino L & Piva R (eds) Boundary Integral Methods. Springer, pp 211-220
    • (1991) Boundary Integral Methods , pp. 211-220
    • Guiggiani, M.1    Krishnasamy, G.2    Rizzo, F.J.3    Rudolphi, T.J.4
  • 7
    • 0001617415 scopus 로고
    • On the fast matrix multiplication in the boundary element method by panel clustering
    • Hackbusch W, Nowack ZP (1989) On the fast matrix multiplication in the boundary element method by panel clustering. Numer Math 54:d463-491
    • (1989) Numer Math , vol.54
    • Hackbusch, W.1    Nowack, Z.P.2
  • 8
    • 0002133258 scopus 로고    scopus 로고
    • A sparse W-matrix arithmetic. II. Application to multidimensional problems
    • Hackbusch W, Khoromskij BN (2000) A sparse W-matrix arithmetic. II. Application to multidimensional problems. Computing 64:21-47
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 11
    • 12844285681 scopus 로고    scopus 로고
    • Acceleration of 3D crack growth simulations by the compression of BEM-matrices via Multipole Methods
    • Bathe KJ (ed) Elsevier
    • Kolk K, Kuhn G (2003) Acceleration of 3D crack growth simulations by the compression of BEM-matrices via Multipole Methods. In: Bathe KJ (ed) Comput Fluid Solid Mech 2003. Vol. 1, Elsevier, pp 396-399
    • (2003) Comput Fluid Solid Mech 2003 , vol.1 , pp. 396-399
    • Kolk, K.1    Kuhn, G.2
  • 12
    • 12844268714 scopus 로고    scopus 로고
    • A predictor-corrector scheme for the optimization of 3D crack front shapes
    • Kolk K, Kuhn G (2005) A predictor-corrector scheme for the optimization of 3D crack front shapes. Fat Frac Eng Mat Struct 28:117-126
    • (2005) Fat Frac Eng Mat Struct , vol.28 , pp. 117-126
    • Kolk, K.1    Kuhn, G.2
  • 13
    • 1242310177 scopus 로고    scopus 로고
    • Application of the adaptive cross approximation technique for the coupled BE-FE solution of symmetric electromagnetic problems
    • Kurz S, Rain O, Rjasanow S (2003) Application of the adaptive cross approximation technique for the coupled BE-FE solution of symmetric electromagnetic problems. Comp Mechanics 32:423-429
    • (2003) Comp Mechanics , vol.32 , pp. 423-429
    • Kurz, S.1    Rain, O.2    Rjasanow, S.3
  • 14
    • 0016871823 scopus 로고
    • Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
    • Lachat JC, Watson JO (1976) Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics. Int J Num Meth Eng 10: 991-1005
    • (1976) Int J Num Meth Eng , vol.10 , pp. 991-1005
    • Lachat, J.C.1    Watson, J.O.2
  • 15
    • 0042530122 scopus 로고    scopus 로고
    • Fast boundary element method for three-dimensional solids containing many cracks
    • Lai YS, Rodin GJ (2003) Fast boundary element method for three-dimensional solids containing many cracks. Eng Anal Boundary Elements 27: 845-852
    • (2003) Eng Anal Boundary Elements , vol.27 , pp. 845-852
    • Lai, Y.S.1    Rodin, G.J.2
  • 17
    • 0021664069 scopus 로고
    • Advanced integration scheme over boundary elements and volume cells for two- And three-dimensional non-linear analysis
    • Banerjee PK, Mukherjee S (eds) Elsevier
    • Mustoe GGW (1984) Advanced integration scheme over boundary elements and volume cells for two- and three-dimensional non-linear analysis. In: Banerjee PK, Mukherjee S (eds) Developments in Boundary Element Methods - 3. Elsevier, pp 213-270
    • (1984) Developments in Boundary Element Methods , vol.3 , pp. 213-270
    • Mustoe, G.G.W.1
  • 18
    • 0343897885 scopus 로고    scopus 로고
    • Comparison of the basic and the discontinuity formulation of the 3D-Dual boundary element method
    • Partheymüller P, Haas M, Kuhn G (2000) Comparison of the basic and the discontinuity formulation of the 3D-Dual boundary element method. Eng Anal Boundary Elements 24:777-788
    • (2000) Eng Anal Boundary Elements , vol.24 , pp. 777-788
    • Partheymüller, P.1    Haas, M.2    Kuhn, G.3
  • 19
    • 0026854272 scopus 로고
    • The dual boundary element method: Effective implementation for crack problems
    • Portella A, Aliabadi MH, Rooke DP (1992) The dual boundary element method: effective implementation for crack problems. Int J Numerl Meth Eng 33:1269-1287
    • (1992) Int J Numerl Meth Eng , vol.33 , pp. 1269-1287
    • Portella, A.1    Aliabadi, M.H.2    Rooke, D.P.3
  • 20
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V (1985) Rapid solution of integral equations of classical potential theory. J Comput Phys 60:187-207
    • (1985) J Comput Phys , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 22
    • 0035302074 scopus 로고    scopus 로고
    • Application of new fast multipole boundary integral equation method to crack problems in 3D
    • Yoshida K, Nishimura N, Kobayashi S (2001) Application of new fast multipole boundary integral equation method to crack problems in 3D. Eng Anal Boundary Elements 25:239-247
    • (2001) Eng Anal Boundary Elements , vol.25 , pp. 239-247
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.