Direct evaluation of boundary stresses in the 3d BEM of elastostatics

Communications in Numerical Methods in Engineering

Volumn 14, Issue 6, 1998, Pages 505-517

  Wilde, A J ^a   Aliabadi, M H ^b  

^a WESSEX INSTITUTE OF TECHNOLOGY   (United Kingdom)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Continuous elements; Hypersingular integral equation; Stress analysis

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; STRESS ANALYSIS; STRESSES;

ELASTOSTATICS; HYPERSINGULAR INTEGRAL EQUATION; SINGULARITY SUBTRACTION METHOD;

BOUNDARY ELEMENT METHOD;

EID: 0032094101     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199806)14:6<505::AID-CNM164>3.0.CO;2-S     Document Type: Article

References (12)

1. Y. Mi and M. H. Aliabadi, 'Dual boundary element method for three dimensional fracture mechanics analysis', Eng. Anal. Bound. Elem., 10(2), 161-171 (1993).
2. J. Hildenbrand and G. Kuhn, 'Numerical computation of hypersingular integrals and applications to the boundary integral equation for the stress tensor', Eng. Anal. Bound. Elem., 10, 209-217 (1992).
3. T. Matsumoto and M. Tanaka, 'Boundary stress calculation using regularized boundary integral equation for displacement gradients', Int. j. numer. methods eng., 36, 783-797 (1993).
4. O. Huber, A. Lang and G. Kuhn, 'Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals', Comput. Mech., 12, 39-50 (1993).
5. A. Young, 'A single-domain boundary element method for 3D elastostatic crack analysis using continuous elements', Int. j. numer. methods eng., 39, 1265-1293 (1996).
6. V. Mantic and F. Paris, 'Existence and evaluation of the two free terms in the hypersingular boundary integral equation of potential theory', Eng. Anal. Bound. Elem., 16(3), 253-260 (1995).
7. M. Guiggiani, 'Hypersingular boundary integral equations have an additional free term', Comput. Mech., 16, 245-248 (1995).
8. T. Cruse and J. Richardson, 'Non-singular somigliana stress identities in elasticity', Int. j. numer. methods eng., 39, 3273-3304 (1996).
9. P. Martin and F. Rizzo, 'Hypersingular integrals: How smooth must the density be?', Int. j. numer. methods eng., 39, 687-704 (1996).
10. V. Sladek and J. Sladek, 'Regularization of hypersingular integrals in BEM formulations using various kinds of continuous elements', Eng. Anal. Bound. Elem., 17, 5-18 (1996).
11. M. Guiggiani, G. Krishnasamy, T. Rudolphi and F. Rizzo, 'A general algorithm for the numerical solution of hypersingular boundary integral equations', J. Appl. Mech., 59(3), 604-614 (1992).
12. R. Howland, 'On the stresses in the neighbourhood of a circular hole in a strip under tension', Philos. Trans. R. Soc., Lond., 229, 49-86 (1974).