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Volumn 193, Issue 23-26, 2004, Pages 2325-2356

A matrix function solution for the scaled boundary finite-element equation in statics

Author keywords

Fracture mechanics; Interface cracks; Logarithmic singularities; Scaled boundary finite element method; Stress singularities; Unbounded domains

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA;

EID: 14844314332     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.01.017     Document Type: Article
Times cited : (179)

References (30)
  • 1
    • 0031554699 scopus 로고    scopus 로고
    • The scaled boundary finite-element method--alias consistent infinitesimal finite-element cell method--for elastodynamics
    • Song Ch. Wolf J.P. The scaled boundary finite-element method--alias consistent infinitesimal finite-element cell method--for elastodynamics Comput. Methods Appl. Mech. Engrg. 147 1997 329-355
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.147 , pp. 329-355
    • Song, Ch.1    Wolf, J.P.2
  • 2
    • 0032475724 scopus 로고    scopus 로고
    • The scaled boundary finite-element method: Analytical solution in frequency domain
    • Song Ch. Wolf J.P. The scaled boundary finite-element method: Analytical solution in frequency domain Comput. Methods Appl. Mech. Engrg. 164 1998 249-264
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.164 , pp. 249-264
    • Song, Ch.1    Wolf, J.P.2
  • 3
    • 0033351075 scopus 로고    scopus 로고
    • Body loads in the scaled boundary finite-element method
    • Song Ch. Wolf J.P. Body loads in the scaled boundary finite-element method Comput. Methods Appl. Mech. Engrg. 180 1999 117-135
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.180 , pp. 117-135
    • Song, Ch.1    Wolf, J.P.2
  • 4
    • 0035800485 scopus 로고    scopus 로고
    • The scaled boundary finite-element method--a semi-analytical fundamental-solution-less boundary element method
    • Wolf J.P. Song Ch. The scaled boundary finite-element method--a semi-analytical fundamental-solution-less boundary element method Comput. Methods Appl. Mech. Engrg. 190 2001 5551-5568
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 5551-5568
    • Wolf, J.P.1    Song, Ch.2
  • 5
    • 0036142563 scopus 로고    scopus 로고
    • Semi-analytical representation of stress singularity as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method
    • Song Ch. Wolf J.P. Semi-analytical representation of stress singularity as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method Comput. Struct. 80 2002 183-197
    • (2002) Comput. Struct. , vol.80 , pp. 183-197
    • Song, Ch.1    Wolf, J.P.2
  • 6
    • 7044275442 scopus 로고    scopus 로고
    • Interfacial stress concentrations near free edges and cracks by the boundary finite element method
    • Les Diablerets, Switzerland
    • J. Lindemann, W. Becker, Interfacial stress concentrations near free edges and cracks by the boundary finite element method, in: Proceedings of Fracture of Polymers, Composites and Adhesives, Les Diablerets, Switzerland, 2002
    • (2002) Proceedings of Fracture of Polymers, Composites and Adhesives
    • Lindemann, J.1    Becker, W.2
  • 7
    • 7044235756 scopus 로고    scopus 로고
    • A super-element for crack analysis in time domain
    • in press
    • Ch. Song, A super-element for crack analysis in time domain, Int. J. Numer. Methods Engrg. (in press)
    • Int. J. Numer. Methods Engrg.
    • Song, Ch.1
  • 8
    • 0037053949 scopus 로고    scopus 로고
    • Stress recovery and error estimation for the scaled boundary finite-element method
    • Deeks A.J. Wolf J.P. Stress recovery and error estimation for the scaled boundary finite-element method Int. J. Numer. Methods Engrg. 54 2002 557-583
    • (2002) Int. J. Numer. Methods Engrg. , vol.54 , pp. 557-583
    • Deeks, A.J.1    Wolf, J.P.2
  • 9
    • 0037053914 scopus 로고    scopus 로고
    • An h-hierarchical adaptive procedure for the scaled boundary finite-element method
    • Deeks A.J. Wolf J.P. An h-hierarchical adaptive procedure for the scaled boundary finite-element method Int. J. Numer. Methods Engrg. 54 2002 585-605
    • (2002) Int. J. Numer. Methods Engrg. , vol.54 , pp. 585-605
    • Deeks, A.J.1    Wolf, J.P.2
  • 10
    • 0018532067 scopus 로고
    • On the stress singularities in the plane elasticity of the composite wedge
    • Dempsey J.P. Sinclair G.B. On the stress singularities in the plane elasticity of the composite wedge J. Elast. 9 1979 373-391
    • (1979) J. Elast. , vol.9 , pp. 373-391
    • Dempsey, J.P.1    Sinclair, G.B.2
  • 11
    • 0029196255 scopus 로고
    • Power-logarithmic stress singularities at bi-material corners and interface cracks
    • Dempsey J.P. Power-logarithmic stress singularities at bi-material corners and interface cracks J. Adhesion Sci. Technol. 9 1995 253-265
    • (1995) J. Adhesion Sci. Technol. , vol.9 , pp. 253-265
    • Dempsey, J.P.1
  • 12
    • 0032206421 scopus 로고    scopus 로고
    • Multiple root solutions, wedge paradoxes and singular stress states that are not variable-separable
    • Joseph P.F. Zhang N.S. Multiple root solutions, wedge paradoxes and singular stress states that are not variable-separable Compos. Sci. Technol. 58 1998 1839-1859
    • (1998) Compos. Sci. Technol. , vol.58 , pp. 1839-1859
    • Joseph, P.F.1    Zhang, N.S.2
  • 13
    • 0033737059 scopus 로고    scopus 로고
    • Thermally induced logarithmic stress singularities in a composite wedge and other anomalies
    • Gadi K.S. Josepha P.F. Zhang N.S. Kaya A.C. Thermally induced logarithmic stress singularities in a composite wedge and other anomalies Engrg. Fract. Mech. 65 2000 645-664
    • (2000) Engrg. Fract. Mech. , vol.65 , pp. 645-664
    • Gadi, K.S.1    Josepha, P.F.2    Zhang, N.S.3    Kaya, A.C.4
  • 14
    • 85137367340 scopus 로고
    • The wedge under a concentrated couple: A paradox in the two-dimensional theory of elasticity
    • Sternberg E. Koiter W. The wedge under a concentrated couple: A paradox in the two-dimensional theory of elasticity J. Appl. Mech. ASME 4 1958 575-581
    • (1958) J. Appl. Mech. ASME , vol.4 , pp. 575-581
    • Sternberg, E.1    Koiter, W.2
  • 15
    • 0022061021 scopus 로고
    • Elastic wedge subjected to antiplane shear tractions--a paradox explained
    • Ting T.C.T. Elastic wedge subjected to antiplane shear tractions--a paradox explained Quart. J. Mech. Appl. Math. 38 1985 245-255
    • (1985) Quart. J. Mech. Appl. Math. , vol.38 , pp. 245-255
    • Ting, T.C.T.1
  • 16
    • 0033148922 scopus 로고    scopus 로고
    • Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • Sinclair G.B. Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension J. Appl. Mech. ASME 66 1999 556-560
    • (1999) J. Appl. Mech. ASME , vol.66 , pp. 556-560
    • Sinclair, G.B.1
  • 17
    • 0036715443 scopus 로고    scopus 로고
    • Semi-analytical elastostatic analysis of unbounded two-dimensional domains
    • Deeks A.J. Wolf J.P. Semi-analytical elastostatic analysis of unbounded two-dimensional domains Int. J. Numer. Anal. Methods Geomech. 26 2002 1031-1057
    • (2002) Int. J. Numer. Anal. Methods Geomech. , vol.26 , pp. 1031-1057
    • Deeks, A.J.1    Wolf, J.P.2
  • 18
    • 0038249132 scopus 로고    scopus 로고
    • Semi-analytical solution of Laplace's equation in non-equilibrating unbounded problems
    • Deeks A.J. Wolf J.P. Semi-analytical solution of Laplace's equation in non-equilibrating unbounded problems Comput. Struct. 81 2003 1525-1537
    • (2003) Comput. Struct. , vol.81 , pp. 1525-1537
    • Deeks, A.J.1    Wolf, J.P.2
  • 20
    • 0034325403 scopus 로고    scopus 로고
    • The scaled boundary finite-element method--a primer: Derivations
    • Wolf J.P. Song Ch. The scaled boundary finite-element method--a primer: Derivations Comput. Struct. 78 2000 191-210
    • (2000) Comput. Struct. , vol.78 , pp. 191-210
    • Wolf, J.P.1    Song, Ch.2
  • 21
    • 0036613721 scopus 로고    scopus 로고
    • A virtual work derivation of the scaled boundary finite-element method for elastostatics
    • Deeks A.J. Wolf J.P. A virtual work derivation of the scaled boundary finite-element method for elastostatics Comput. Mech. 28 2002 489-504
    • (2002) Comput. Mech. , vol.28 , pp. 489-504
    • Deeks, A.J.1    Wolf, J.P.2
  • 22
    • 0035971808 scopus 로고    scopus 로고
    • A spectral element shallow water model on spherical geodesic grids
    • Giraldo F.X. A spectral element shallow water model on spherical geodesic grids Int. J. Numer. Methods Fluids 35 2001 869-901
    • (2001) Int. J. Numer. Methods Fluids , vol.35 , pp. 869-901
    • Giraldo, F.X.1
  • 24
    • 0018681625 scopus 로고
    • A Schur method for solving algebraic Riccati equations
    • Laub A.J. A Schur method for solving algebraic Riccati equations IEEE Trans. Automat. Control AC-24 1979 913-921
    • (1979) IEEE Trans. Automat. Control , vol.AC-24 , pp. 913-921
    • Laub, A.J.1
  • 26
    • 0040081315 scopus 로고
    • An algorithm for computing reducing subspaces by block diagonalization
    • Bavely C.A. Stewart G.W. An algorithm for computing reducing subspaces by block diagonalization SIAM J. Numer. Anal. 16 1979 359-367
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 359-367
    • Bavely, C.A.1    Stewart, G.W.2
  • 27
    • 0001143041 scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix
    • Moler C.B. van Loan C.F. Nineteen dubious ways to compute the exponential of a matrix SIAM Rev. 20 1978 801-836
    • (1978) SIAM Rev. , vol.20 , pp. 801-836
    • Moler, C.B.1    van Loan, C.F.2
  • 29
    • 0040596855 scopus 로고    scopus 로고
    • Plane solutions of interface cracks in anisotropic dissimilar media
    • Ma C.C. Luo J.J. Plane solutions of interface cracks in anisotropic dissimilar media J. Engrg. Mech. ASCE 122 1996 30-38
    • (1996) J. Engrg. Mech. ASCE , vol.122 , pp. 30-38
    • Ma, C.C.1    Luo, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.