# ON SOME BENCHMARK RESULTS FOR THE INTERACTION OF A CRACK WITH A CIRCULAR INCLUSION

## Abstract

Stress intensity factor calculations for crack-inclusion interaction problems are presented. The problems considered include the benchmark problems first discussed by Helsing and Jonsson, and subsequently by Wang, Mogilevskaya and Crouch. The numerical results are obtained using the symmetric-Galerkin boundary element method in conjunction with an improved quarter-point element for evaluating the stress intensity factors by means of the displacement correlation technique. The converged results confirm the accuracy of the previous simulations, and demonstrate that accurate solutions for these interaction problems can be obtained with numerical methods that are applicable in three dimensions.

- Authors:

- ORNL

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 979073

- DOE Contract Number:
- DE-AC05-00OR22725

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Applied Mechanics; Journal Volume: 74

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; ACCURACY; BENCHMARKS; BOUNDARY ELEMENT METHOD; DIMENSIONS; STRESS INTENSITY FACTORS

### Citation Formats

```
Phan, Anh-Vu, Gray, Leonard J, and Kaplan, Ted.
```*ON SOME BENCHMARK RESULTS FOR THE INTERACTION OF A CRACK WITH A CIRCULAR INCLUSION*. United States: N. p., 2007.
Web. doi:10.1115/1.2722773.

```
Phan, Anh-Vu, Gray, Leonard J, & Kaplan, Ted.
```*ON SOME BENCHMARK RESULTS FOR THE INTERACTION OF A CRACK WITH A CIRCULAR INCLUSION*. United States. doi:10.1115/1.2722773.

```
Phan, Anh-Vu, Gray, Leonard J, and Kaplan, Ted. Mon .
"ON SOME BENCHMARK RESULTS FOR THE INTERACTION OF A CRACK WITH A CIRCULAR INCLUSION". United States.
doi:10.1115/1.2722773.
```

```
@article{osti_979073,
```

title = {ON SOME BENCHMARK RESULTS FOR THE INTERACTION OF A CRACK WITH A CIRCULAR INCLUSION},

author = {Phan, Anh-Vu and Gray, Leonard J and Kaplan, Ted},

abstractNote = {Stress intensity factor calculations for crack-inclusion interaction problems are presented. The problems considered include the benchmark problems first discussed by Helsing and Jonsson, and subsequently by Wang, Mogilevskaya and Crouch. The numerical results are obtained using the symmetric-Galerkin boundary element method in conjunction with an improved quarter-point element for evaluating the stress intensity factors by means of the displacement correlation technique. The converged results confirm the accuracy of the previous simulations, and demonstrate that accurate solutions for these interaction problems can be obtained with numerical methods that are applicable in three dimensions.},

doi = {10.1115/1.2722773},

journal = {Journal of Applied Mechanics},

number = ,

volume = 74,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}

DOI: 10.1115/1.2722773

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