A matrix function solution for the scaled boundary finite-element equation in statics
Tài liệu tham khảo
Song, 1997, The scaled boundary finite-element method––alias consistent infinitesimal finite-element cell method––for elastodynamics, Comput. Methods Appl. Mech. Engrg., 147, 329, 10.1016/S0045-7825(97)00021-2
Song, 1998, The scaled boundary finite-element method: analytical solution in frequency domain, Comput. Methods Appl. Mech. Engrg., 164, 249, 10.1016/S0045-7825(98)00058-9
Song, 1999, Body loads in the scaled boundary finite-element method, Comput. Methods Appl. Mech. Engrg., 180, 117, 10.1016/S0045-7825(99)00052-3
Wolf, 2001, The scaled boundary finite-element method––a semi-analytical fundamental-solution-less boundary element method, Comput. Methods Appl. Mech. Engrg., 190, 5551, 10.1016/S0045-7825(01)00183-9
Song, 2002, Semi-analytical representation of stress singularity as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method, Comput. Struct., 80, 183, 10.1016/S0045-7949(01)00167-5
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
Ch. Song, A super-element for crack analysis in time domain, Int. J. Numer. Methods Engrg. (in press)
Deeks, 2002, Stress recovery and error estimation for the scaled boundary finite-element method, Int. J. Numer. Methods Engrg., 54, 557, 10.1002/nme.439
Deeks, 2002, An h-hierarchical adaptive procedure for the scaled boundary finite-element method, Int. J. Numer. Methods Engrg., 54, 585, 10.1002/nme.440
Dempsey, 1979, On the stress singularities in the plane elasticity of the composite wedge, J. Elast., 9, 373, 10.1007/BF00044615
Dempsey, 1995, Power–logarithmic stress singularities at bi-material corners and interface cracks, J. Adhesion Sci. Technol., 9, 253, 10.1163/156856195X01157
Joseph, 1998, Multiple root solutions, wedge paradoxes and singular stress states that are not variable-separable, Compos. Sci. Technol., 58, 1839, 10.1016/S0266-3538(98)00049-9
Gadi, 2000, Thermally induced logarithmic stress singularities in a composite wedge and other anomalies, Engrg. Fract. Mech., 65, 645, 10.1016/S0013-7944(99)00145-9
Sternberg, 1958, The wedge under a concentrated couple: a paradox in the two-dimensional theory of elasticity, J. Appl. Mech. ASME, 4, 575, 10.1115/1.4011875
Ting, 1985, Elastic wedge subjected to antiplane shear tractions––a paradox explained, Quart. J. Mech. Appl. Math., 38, 245, 10.1093/qjmam/38.2.245
Sinclair, 1999, Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. ASME, 66, 556, 10.1115/1.2791085
Deeks, 2002, Semi-analytical elastostatic analysis of unbounded two-dimensional domains, Int. J. Numer. Anal. Methods Geomech., 26, 1031, 10.1002/nag.232
Deeks, 2003, Semi-analytical solution of Laplace's equation in non-equilibrating unbounded problems, Comput. Struct., 81, 1525, 10.1016/S0045-7949(03)00144-5
Golub, 1996
Wolf, 2000, The scaled boundary finite-element method––a primer: derivations, Comput. Struct., 78, 191, 10.1016/S0045-7949(00)00099-7
Deeks, 2002, A virtual work derivation of the scaled boundary finite-element method for elastostatics, Comput. Mech., 28, 489, 10.1007/s00466-002-0314-2
Giraldo, 2001, A spectral element shallow water model on spherical geodesic grids, Int. J. Numer. Methods Fluids, 35, 869, 10.1002/1097-0363(20010430)35:8<869::AID-FLD116>3.0.CO;2-S
Wolf, 1996
Laub, 1979, A Schur method for solving algebraic Riccati equations, IEEE Trans. Automat. Control, AC-24, 913, 10.1109/TAC.1979.1102178
Gantmacher, 1977
Bavely, 1979, An algorithm for computing reducing subspaces by block diagonalization, SIAM J. Numer. Anal., 16, 359, 10.1137/0716028
Moler, 1978, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev., 20, 801, 10.1137/1020098
Brebbia, 1984
Ma, 1996, Plane solutions of interface cracks in anisotropic dissimilar media, J. Engrg. Mech. ASCE, 122, 30, 10.1061/(ASCE)0733-9399(1996)122:1(30)
E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, D. Sorensen, LAPACK Users' Guide, Society for Industrial and Applied Mathematics, Philadelphia, 1992