The dual boundary element method for thermoelastic crack problems

Abstract

A boundary element formulation, which does not require domain discretization and allows a single region analysis, is presented for steady-state thermoelastic crack problems. The problems are solved by the dual boundary element method which uses displacement and temperature equations on one crack surface and traction and flux equations on the other crack surface. The domain integrals are transformed to boundary integrals using the Galerkin technique. Stress intensity factors are calculated using the path independent ,]-integral. Several numerical problems are solved and the results are compared, where possible, with existing solutions.

The extended finite element method in thermoelastic fracture mechanics

“…In Tables III-VI, the SIFs are compared with those of [35], reported in the handbook [1], and those of [5]. Following …”

“…It is observed that the mesh density and the radius enrichment are sufficiently large since no oscillation due to the blending effect [30] is apparent on these plots. In Table II, the SIFs are compared with those of [34], reported in the handbook [1], and those of [5], obtained by a dual boundary element method. The first set of boundary conditions induces a pure sliding mode (mode II) at the tips and the second set a pure opening mode (mode I).…”

“…For growing cracks, however, a numerical method that predicts the SIFs during the propagation without the burden of building a conforming mesh may 828 M. DUFLOT be preferred. One such method is the boundary element method which was applied to thermoelastic fracture mechanics in a number of papers (see [4][5][6][7][8][9] in two dimensions and [10][11][12][13] in three dimensions). Another method, which catches a lot of attention in the computational fracture mechanics community since its inception in 1999, is the extended finite element method (XFEM) [14,15].…”

Prediction of bimaterial thermal cracking by the boundary element method

“…8 Incorporation of this temperature/¯ux near-tip behaviour has been proved to be essential in thermal fracture analysis. 9,10 Near-tip stress and¯ux distributions, using the ®rst-order eigenfunction expansion method, are where " s ij , i, j 1Y 2, are the stress tensor components and K is the generalized intensity factor vector, given in the Appendix; p yi are the heat¯ux vector components, and functions F i (j) are described in the Appendix. In the above equations the overbar denotes that variables are considered in the local co-ordinate system ( "…”

Formulação dual em mecânica da fratura utilizando elementos de contorno curvos de ordem qualquer

“…Em problemas termoelásticos as aplicações são encontradas em Prasad et al (1994Prasad et al ( , 1996.…”