On NGF Applications to LBIE Potential and Displacement Discontinuity Analyses

Abstract:

This work aims at extending the concept of the Numerical Green's Function (NGF), known from boundary element applications to potential and fracture mechanics problems, to the Local Boundary Integral Equation (LBIE) context. As a "companion" solution, the NGF is used to remove the integrals of the main discontinuities over the crack boundary and is to be introduced only for source points whose support touches or contains the actual crack surfaces.

• Periodical: Key Engineering Materials (Volume 454)
• Pages: 127-135
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.454.127
• Online since: December 2010
• Authors: L.S. Miers, J.C.F. Telles
• Keywords: Local Boundary Integral Equation, Meshless Method, Numerical Green’s Function

References

[1] S.N. Atluri and S. Shen: Comput. Mod. Eng. Sci. Vol. 3 (2002), pp.11-51.

[2] S.N. Atluri, J. Sladek, V. Sladek and T. Zhu: Comput. Mech. Vol. 25 (2000), pp.180-198.

[3] J.C.F. Telles, G.S. Castor and S. Guimarães: Int. J. Num. Methods Eng. Vol. 38 (1995), pp.3259-3274.

[4] P. Lancaster and K. Salkauskas: Math. Comput. Vol. 37 (1981), pp.141-158.

[5] C.A. Brebbia, J.C.F. Telles and L.C. Wrobel: Boundary Element Techniques: Theory and Application in Engineering (Springer, Berlin 1984).

[6] Y.P. Chen, A. Eskandarian and M. Oskard: Theor. App. Frac. Mech. Vol. 41 (2004), pp.83-94.

[7] J.C.F. Telles, C.A.R. Vera-Tudela, S. Guimarães: El. Journal Bound. Elem. Vol. BeTeq2001 (2002), pp.136-150.

[8] L.P.S. Barra and J.C.F. Telles: Eng. Anal. Bound. Elem. Vol 23 (1999), pp.77-87.

[9] L. S. Miers and J. C. F. Telles: CMES Vol. 14 (3), (2006), pp.661-669.

[10] C. A. R. Vera-Tudela, T. C. F. Luiz and J. C. F. Telles: Comput. Mech. Vol. 39, (2006), pp.15-23.