CPV and HFP integrals and their applications in the boundary element method

International Journal of Solids and Structures

Volumn 37, Issue 45, 2000, Pages 6623-6634

  Mukherjee, Subrata ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTICITY; INTEGRAL EQUATIONS;

BOUNDARY INTEGRAL EQUATIONS (BIE); CAUCHY PRINCIPAL VALUE (CPV); HADAMARD FINITE PART (HFP);

STRUCTURAL ANALYSIS;

EID: 0034325708     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00173-0     Document Type: Article

References (22)

1. C.A. Brebbia J.C.F. Telles L.C. Wrobel Boundary Element Techniques — Theory and Applications in Engineering 1984 Springer-Verlag Berlin
2. T.A. Cruse Numerical solutions in three-dimensional elastostatics International Journal of Solids and Structures 5 1969 1259 1274
3. T.A. Cruse W. Van Buren Three-dimensional elastic stress analysis of a fracture specimen with an edge crack International Journal of Fracture Mechanics 7 1971 1 16
4. T.A. Cruse J.D. Richardson Non-singular Somigliana stress identities in elasticity International Journal for Numerical Methods in Engineering 39 1996 3273 3304
5. Y.F. Dong H.C. Gea A non-hypersingular boundary integral formulation for displacement gradients in linear elasticity Acta Mechanica 129 1998 187 205
6. N. Ghosh H. Rajiyah S. Ghosh S. Mukherjee A new boundary element method formulation for linear elasticity ASME Journal of Applied Mechanics 53 1986 69 76
7. M. Guiggiani G. Krishnasamy T.J. Rudolphi F.J. Rizzo A general algorithm for the numerical solution of hypersingular boundary integral equations ASME Journal of Applied Mechanics 59 1992 604 614
8. M. Guiggiani P. Casalini Direct computation of Cauchy principal value integrals in advanced boundary elements International Journal for Numerical Methods in Engineering 24 1987 1711 1720
9. C-Y. Hui S. Mukherjee Evaluation of hypersingular integrals in the boundary element method by complex variable techniques International Journal of Solids and Structures 34 1997 203 221
10. G. Krishnasamy L.W. Schmerr T.J. Rudolphi F.J. Rizzo Hypersingular boundary integral equations: some applications in acoustics and elastic wave scattering ASME Journal of Applied Mechanics 57 1990 404 414
11. Y.J. Liu Analysis of shell like structures by the boundary element method based on 3-D elasticity: formulation and verification International Journal for Numerical Methods in Engineering 41 1998 541 558
12. E.D. Lutz A.R. Ingraffea L.J. Gray Use of ‘simple solutions’ for boundary integral methods in elasticity and fracture analysis International Journal for Numerical Methods in Engineering 35 1992 1737 1751
13. P.A. Martin End-point behavior of solutions to hypersingular integral equations Proceedings of the Royal Society of London A432 1991 301 320
14. P.A. Martin F.J. Rizzo T.A. Cruse Smoothness-relaxation strategies for singular and hypersingular integral equations International Journal for Numerical Methods in Engineering 42 1998 885 906
15. V. Mantič F. Parı́s Existence and evaluation of the two free terms in the hypersingular boundary integral equation of potential theory Engineering Analysis with Boundary Elements 16 1995 253 260
16. S. Mukherjee Boundary Element Methods in Creep and Fracture 1982 Elsevier London
17. S. Mukherjee Y.X. Mukherjee The hypersingular boundary contour method for three-dimensional linear elasticity ASME Journal of Applied Mechanics 65 1998 300 309
18. Y.X. Mukherjee K. Shah S. Mukherjee Thermoelastic fracture mechanics with regularized, hypersingular boundary integral equations Engineering Analysis with Boundary Elements 23 1999 89 96
19. F.J. Rizzo An integral equation approach to boundary value problems of classical elastostatics Quarterly of Applied Mathematics 25 1967 83 95
20. T.J. Rudolphi The use of simple solutions in the regularization of hypersingular boundary integral equations Mathematical and Computer Modelling 15 1991 269 278
21. V. Sladek J. Sladek Computation of stresses by BEM in 2-D elastostatics Acta Technica CSA 31 1986 523 531
22. K.C. Toh S. Mukherjee Hypersingular and finite part integrals in the boundary element method International Journal of Solids and Structures 31 1994 2299 2312