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**On the use of quarter-point boundary elements for stress intensity factor computations.**
*(English)*
Zbl 0539.73123

Summary: This communication studies a procedure for stress intensity factor computations using traction singular quarter-point boundary elements. Opening mode stress intensity factors are computed from the tractions’ nodal values at the crack tip. A comparison is made between the factors calculated using this procedure and those obtained by previously recommended methods which made use of the nodal values of the displacements. The proposed procedure was seen to be less discretization sensitive than any other of the considered methods. Accurate results were obtained even in the case of coarse meshes.

### MSC:

74R05 | Brittle damage |

74S99 | Numerical and other methods in solid mechanics |

74G70 | Stress concentrations, singularities in solid mechanics |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

### Keywords:

stress intensity factor; traction singular quarter-point boundary elements; Opening mode stress intensity factors; crack tip; less discretization sensitive
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\textit{J. Martínez} and \textit{J. Domínguez}, Int. J. Numer. Methods Eng. 20, 1941--1950 (1984; Zbl 0539.73123)

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### References:

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[6] | Bowie, Eng. Fracture Mech. 2 pp 181– (1970) |

[7] | ’Solutions of plane crack problems by mapping technique’, in Mechanics of Fracture 1 (Ed. ), Noordhoff, Leyden, 1973. · Zbl 0281.73061 |

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