### Abstract

The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

Original language | English |
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Pages (from-to) | 73-85 |

Number of pages | 13 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 2 |

Issue number | 1 |

Publication status | Published - 2001 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Software
- Modelling and Simulation
- Computer Science Applications

### Cite this

*CMES - Computer Modeling in Engineering and Sciences*,

*2*(1), 73-85.

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*CMES - Computer Modeling in Engineering and Sciences*, vol. 2, no. 1, pp. 73-85.

**Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method.** / Chao, Ru-Min; Chen, Yen Ji; Lin, F. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method

AU - Chao, Ru-Min

AU - Chen, Yen Ji

AU - Lin, F. C.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

AB - The two-dimensional elasticity problem of an isotropic material, containing a centered-crack with unknown boundary traction is studied by the inverse procedure. The dual boundary integral equations are used to analyze the problem. While solving the ill-posed inverse problem, both of the conjugate gradient method and the regularization method are used. A scaling factor depending upon the material constant μ is introduced into the sensitivity matrix in order to keep the order of magnitude the same throughout the formulation. The result by using the displacement measurement will be compared with those by stress measurement, and an extensive discussion will be given. Finally, the effect of measurement error to the inverse problem is also discussed.

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M3 - Article

AN - SCOPUS:0041405522

VL - 2

SP - 73

EP - 85

JO - CMES - Computer Modeling in Engineering and Sciences

JF - CMES - Computer Modeling in Engineering and Sciences

SN - 1526-1492

IS - 1

ER -