Treatment of body-force volume integrals in bem by exact transformation for 2-D anisotropic elasticity

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 1, 1997, Pages 89-109

  Zhang, J J ^a   Tan, C L ^a   Afagh, F F ^a  

^a CARLETON UNIVERSITY   (Canada)

Author keywords

BEM; Numerical fracture mechanics

Indexed keywords

ANISOTROPY; ELASTICITY; FRACTURE MECHANICS; INTEGRAL EQUATIONS;

BODY FORCE VOLUME INTEGRALS; EXACT TRANSFORMATION; GEOMETRICALLY CONVEX REGIONS;

BOUNDARY ELEMENT METHOD;

EID: 0030736170     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970115)40:1<89::AID-NME53>3.0.CO;2-3     Document Type: Article

References (18)

1. G. S. Gipson and C. V. Camp, 'Effective use of Monte Carlo quadrature for body force integrals occurring in integral form of elastostatics', Proc. 7th Int. Conf. on Boundary Elements, 1985, pp. 17-26.
2. C. V. Camp and G. S. Gipson, Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena, Springer, Berlin, 1992.
3. F. J. Rizzo and D. J. Shippy, 'An advanced boundary integral equation method for three dimensional thermoelasticity', Int. j. numer. methods eng., 11, 1753-1768 (1977).
4. D. Nardini and C. A. Brebbia, 'A new approach to free vibration using boundary elements', in C. A. Brebbia (ed.), Boundary Element Methods in Engineering, springer, Berlin, 1982, pp. 312-326.
5. A. J. Nowak, 'Temperature fields in domains with heat sources using boundary-only formulation', Proc. 10th BEM Conf., Springer, Berlin 1988, pp. 233-247.
6. J. O. Watson, 'Advanced implementation of the boundary element method for two and three-dimensional elastostatics', in P. K. Banerjee and R. Butterfield (eds.), Developments in BEM, Applied Science Publisher, 1979.
7. P. K. Banerjee and R. Butterfield, Boundary Element Methods in Engineering Science, McGraw-Hill, London, 1981.
8. A. Deb and P. K. Banerjee, 'BEM for general anisotropic 2D elasticity using particular integrals', Comm. appl. numer. methods, 6, 111-119 (1990).
9. A. Deb, D. P. Henry and R. B. Wilson, 'Alternate BEM formulations for 2- and 3-D anisotropic thermoelasticity', Int. J. Solids Struct., 27, 1721-1738 (1991).
10. C. L. Tan, Y. L. Gao and F. F. Afagh, 'Anisotropic stress analysis of inclusion problems using the boundary integral equation method', J. Strain Anal., 27, 67-76 (1992).
11. T. A. Cruse, Boundary Element Analysis in Computational Fracture Mechanics, Kluwer Academic, Dordrecht, 1988.
12. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Mir, Moscow, 1981.
13. S. G. Lekhnitskii, Anisotropic Plates, Gordon and Breach, London, 1968.
14. H. F. Bueckner and N. Y. Schenectady, 'The propagation of cracks and the energy of elastic deformation', Trans. ASME, 80E, 1225-1230 (1958).
15. J. Martinez and J. Dominguez, 'On the use of quarter-point boundary elements for stress intensity factor computations', Int. j. numer. methods eng., 20, 1941-1950 (1984).
16. C. L. Tan and Y. L. Gao, 'Boundary element analysis of plane anisotropic bodies with stress concentration and cracks', Composite Struct., 20, 17-28 (1992).
17. Q. Ao, 'Development of boundary methods of solution of anisotropic problems', Ph.D. Dissertation, University of Kentucky, 1994.
18. Q. Ao and D. J. Shippy, 'BEM treatment of body forces in plane orthotropic elastostatics', J. Eng. Mech., 121, 1130-1135 (1995).