### Abstract

In the present work, fully plastic analyses for notched bars and (plane strain) plates in tension are performed, via finite element (FE) limit analysis based on non-hardening plasticity, from which plastic limit loads and stress fields are determined. Relevant geometric parameters are systematically varied to cover all possible ranges of the notch depth and radius. For the limit loads, it is found that the FE solutions for the notched plate agree well with the existing solution. For the notched bar, however, the FE solutions are found to be significantly different from known solutions, and accordingly the new approximation is given. Regarding fully plastic stress fields, it is found that, for the notched plate, the maximum hydrostatic (mean normal) stress overall occurs in the center of the specimen, which strongly depends on the relative notch depth and the notch radius-to-depth ratio. On the other hand, for the notched bar, the maximum hydrostatic stress can occur in between the center of the specimen and the notch tip. The maximum hydrostatic stress for a given notch depth can occur not for the cracked case, but for the notched case with a certain radius. This is true for both bars and plates. For a given notch radius, on the other hand, the maximum hydrostatic stress increases monotonically with the decreasing notch radius.

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

Pages (from-to) | 1849-1864 |

Number of pages | 16 |

Journal | Engineering Fracture Mechanics |

Volume | 73 |

Issue number | 13 |

DOIs | |

Publication status | Published - 2006 Sep 1 |

Externally published | Yes |

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### Keywords

- Finite element limit analysis
- Limit load
- Notched bar
- Notched plate
- Stress triaxiality

### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials

### Cite this

*Engineering Fracture Mechanics*,

*73*(13), 1849-1864. https://doi.org/10.1016/j.engfracmech.2006.02.011

**Fully plastic analyses for notched bars and plates using finite element limit analysis.** / Kim, Yun-Jae; Oh, Chang Kyun; Myung, Man S.; Park, Jin M.

Research output: Contribution to journal › Article

*Engineering Fracture Mechanics*, vol. 73, no. 13, pp. 1849-1864. https://doi.org/10.1016/j.engfracmech.2006.02.011

}

TY - JOUR

T1 - Fully plastic analyses for notched bars and plates using finite element limit analysis

AU - Kim, Yun-Jae

AU - Oh, Chang Kyun

AU - Myung, Man S.

AU - Park, Jin M.

PY - 2006/9/1

Y1 - 2006/9/1

N2 - In the present work, fully plastic analyses for notched bars and (plane strain) plates in tension are performed, via finite element (FE) limit analysis based on non-hardening plasticity, from which plastic limit loads and stress fields are determined. Relevant geometric parameters are systematically varied to cover all possible ranges of the notch depth and radius. For the limit loads, it is found that the FE solutions for the notched plate agree well with the existing solution. For the notched bar, however, the FE solutions are found to be significantly different from known solutions, and accordingly the new approximation is given. Regarding fully plastic stress fields, it is found that, for the notched plate, the maximum hydrostatic (mean normal) stress overall occurs in the center of the specimen, which strongly depends on the relative notch depth and the notch radius-to-depth ratio. On the other hand, for the notched bar, the maximum hydrostatic stress can occur in between the center of the specimen and the notch tip. The maximum hydrostatic stress for a given notch depth can occur not for the cracked case, but for the notched case with a certain radius. This is true for both bars and plates. For a given notch radius, on the other hand, the maximum hydrostatic stress increases monotonically with the decreasing notch radius.

AB - In the present work, fully plastic analyses for notched bars and (plane strain) plates in tension are performed, via finite element (FE) limit analysis based on non-hardening plasticity, from which plastic limit loads and stress fields are determined. Relevant geometric parameters are systematically varied to cover all possible ranges of the notch depth and radius. For the limit loads, it is found that the FE solutions for the notched plate agree well with the existing solution. For the notched bar, however, the FE solutions are found to be significantly different from known solutions, and accordingly the new approximation is given. Regarding fully plastic stress fields, it is found that, for the notched plate, the maximum hydrostatic (mean normal) stress overall occurs in the center of the specimen, which strongly depends on the relative notch depth and the notch radius-to-depth ratio. On the other hand, for the notched bar, the maximum hydrostatic stress can occur in between the center of the specimen and the notch tip. The maximum hydrostatic stress for a given notch depth can occur not for the cracked case, but for the notched case with a certain radius. This is true for both bars and plates. For a given notch radius, on the other hand, the maximum hydrostatic stress increases monotonically with the decreasing notch radius.

KW - Finite element limit analysis

KW - Limit load

KW - Notched bar

KW - Notched plate

KW - Stress triaxiality

UR - http://www.scopus.com/inward/record.url?scp=33745025798&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745025798&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2006.02.011

DO - 10.1016/j.engfracmech.2006.02.011

M3 - Article

AN - SCOPUS:33745025798

VL - 73

SP - 1849

EP - 1864

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

IS - 13

ER -