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Structural Integrity Analysis Using the Numerical Green's Function and the Local Boundary Integral Equation Method

L.S. Miers1, J.C.F. Telles2
1 PEC-COPPE/UFRJ, Rio de Janeiro, RJ, Brazil – lsmiers@coc.ufrj.br
2 PEC-COPPE/UFRJ, Rio de Janeiro, RJ, Brazil – telles@coc.ufrj.br

Structural Durability & Health Monitoring 2005, 1(3), 225-232. https://doi.org/10.3970/sdhm.2005.001.225

Abstract

The present paper aims at introducing the concept of Green's function type fundamental solutions (i.e., unit source fundamental solutions satisfying particular boundary conditions) into the context of meshless approaches, particularly dealing with the local boundary integral equation method (LBIE) derived from the classic boundary integral equation procedure. The Green's functions discussed here are mainly the so-called half-plane solution, corresponding to a unit source within a semi-plane bounded by a flux-free straight line and an infinite plane containing internal lines of potential discontinuity. The latter is here introduced in numerical fashion, as an extension of the authors' previous numerical Green's function approach (NGF) already developed for standard fracture mechanics boundary element applications. Here, the use of such modified fundamental solutions impairs the implementation of the usual companion solutions, responsible for vanishing the fundamental potential values over the circular boundary of the LBIE internal support sub-domains. Some examples are discussed to validate the implementations.

Keywords

Local boundary integral equation, numerical Green's function, meshless methods.

Cite This Article

Miers, L., Telles, J. (2005). Structural Integrity Analysis Using the Numerical Green's Function and the Local Boundary Integral Equation Method. Structural Durability & Health Monitoring, 1(3), 225–232.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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