### Abstract

In this paper, a simple method is proposed for estimating with a few strain gages stress fields near a notch root in plates under in-plane loading. In the present method, the stress fields are estimated by solving the boundary value problems. Concretely, we use the Airy's stress function for an arbitrary plate with a free circular hole, considering an edge near a notch root as a part of a free circular hole. The unknown coefficients of the Airy's stress function are determined from stress values with strain gages along a certain closed curve so that the Airy's stress function satisfies the boundary conditions at the curve. The strain values are measured only at four points on a circular arc whose radius is 1.5 times as large as the notch root radius. The method of least squares is used for determining the unknown coefficients. We demonstrate the present method using eight types of notched plates. We obtained accurate estimation results except for a few cases.

Original language | English |
---|---|

Pages (from-to) | 122-130 |

Number of pages | 9 |

Journal | Journal of Testing and Evaluation |

Volume | 27 |

Issue number | 2 |

Publication status | Published - Mar 1999 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Materials Science (miscellaneous)

### Cite this

**Estimation with a Few Strain Gages of Stress Fields near a Notch Root of Actual Structures under In-Plane Loading.** / Harada, Toyomitsu; Noguchi, Hiroshi.

Research output: Contribution to journal › Article

*Journal of Testing and Evaluation*, vol. 27, no. 2, pp. 122-130.

}

TY - JOUR

T1 - Estimation with a Few Strain Gages of Stress Fields near a Notch Root of Actual Structures under In-Plane Loading

AU - Harada, Toyomitsu

AU - Noguchi, Hiroshi

PY - 1999/3

Y1 - 1999/3

N2 - In this paper, a simple method is proposed for estimating with a few strain gages stress fields near a notch root in plates under in-plane loading. In the present method, the stress fields are estimated by solving the boundary value problems. Concretely, we use the Airy's stress function for an arbitrary plate with a free circular hole, considering an edge near a notch root as a part of a free circular hole. The unknown coefficients of the Airy's stress function are determined from stress values with strain gages along a certain closed curve so that the Airy's stress function satisfies the boundary conditions at the curve. The strain values are measured only at four points on a circular arc whose radius is 1.5 times as large as the notch root radius. The method of least squares is used for determining the unknown coefficients. We demonstrate the present method using eight types of notched plates. We obtained accurate estimation results except for a few cases.

AB - In this paper, a simple method is proposed for estimating with a few strain gages stress fields near a notch root in plates under in-plane loading. In the present method, the stress fields are estimated by solving the boundary value problems. Concretely, we use the Airy's stress function for an arbitrary plate with a free circular hole, considering an edge near a notch root as a part of a free circular hole. The unknown coefficients of the Airy's stress function are determined from stress values with strain gages along a certain closed curve so that the Airy's stress function satisfies the boundary conditions at the curve. The strain values are measured only at four points on a circular arc whose radius is 1.5 times as large as the notch root radius. The method of least squares is used for determining the unknown coefficients. We demonstrate the present method using eight types of notched plates. We obtained accurate estimation results except for a few cases.

UR - http://www.scopus.com/inward/record.url?scp=0000675819&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000675819&partnerID=8YFLogxK

M3 - Article

VL - 27

SP - 122

EP - 130

JO - Journal of Testing and Evaluation

JF - Journal of Testing and Evaluation

SN - 0090-3973

IS - 2

ER -