### Abstract

The C(t)-integral describes amplitude of stress and strain rate field near a tip of stationary crack under transient creep condition. Thus the C(t)-integral is a key parameter for the high-temperature crack assessment. Estimation formulae for C(t)-integral of the cracked component operating under mechanical load alone have been provided for decades. However, high temperature structures usually work under combined mechanical and thermal load. And no investigation has provided quantitative estimates for the C(t)-integral under combined mechanical and thermal load. In this study, 3-dimensional finite element analyses were conducted to calculate the C(t)-integral of elastic-creep material under combined mechanical and thermal load. As a result, redistribution time for the crack under combined mechanical and thermal load is re-defined through FE analyses to quantify the C(t)-integral. Estimates of C(t)-integral using this proposed redistribution time agree well with FE analyses results.

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

Pages (from-to) | 949-956 |

Number of pages | 8 |

Journal | Transactions of the Korean Society of Mechanical Engineers, A |

Volume | 33 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2009 Sep 1 |

Externally published | Yes |

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### Keywords

- C(t)integral(c(t)
- Combined mechanical and thermal stress
- Crack
- Elastic creep
- Transient creep condition

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Transactions of the Korean Society of Mechanical Engineers, A*,

*33*(9), 949-956. https://doi.org/10.3795/KSME-A.2009.33.9.949

**Estimations of the C(t)-integral in transient creep condition for pipe with crack under combined mechanical and thermal stress (I) - Elastic-creep -.** / Song, Tae Kwang; Kim, Yun Jae.

Research output: Contribution to journal › Article

*Transactions of the Korean Society of Mechanical Engineers, A*, vol. 33, no. 9, pp. 949-956. https://doi.org/10.3795/KSME-A.2009.33.9.949

}

TY - JOUR

T1 - Estimations of the C(t)-integral in transient creep condition for pipe with crack under combined mechanical and thermal stress (I) - Elastic-creep -

AU - Song, Tae Kwang

AU - Kim, Yun Jae

PY - 2009/9/1

Y1 - 2009/9/1

N2 - The C(t)-integral describes amplitude of stress and strain rate field near a tip of stationary crack under transient creep condition. Thus the C(t)-integral is a key parameter for the high-temperature crack assessment. Estimation formulae for C(t)-integral of the cracked component operating under mechanical load alone have been provided for decades. However, high temperature structures usually work under combined mechanical and thermal load. And no investigation has provided quantitative estimates for the C(t)-integral under combined mechanical and thermal load. In this study, 3-dimensional finite element analyses were conducted to calculate the C(t)-integral of elastic-creep material under combined mechanical and thermal load. As a result, redistribution time for the crack under combined mechanical and thermal load is re-defined through FE analyses to quantify the C(t)-integral. Estimates of C(t)-integral using this proposed redistribution time agree well with FE analyses results.

AB - The C(t)-integral describes amplitude of stress and strain rate field near a tip of stationary crack under transient creep condition. Thus the C(t)-integral is a key parameter for the high-temperature crack assessment. Estimation formulae for C(t)-integral of the cracked component operating under mechanical load alone have been provided for decades. However, high temperature structures usually work under combined mechanical and thermal load. And no investigation has provided quantitative estimates for the C(t)-integral under combined mechanical and thermal load. In this study, 3-dimensional finite element analyses were conducted to calculate the C(t)-integral of elastic-creep material under combined mechanical and thermal load. As a result, redistribution time for the crack under combined mechanical and thermal load is re-defined through FE analyses to quantify the C(t)-integral. Estimates of C(t)-integral using this proposed redistribution time agree well with FE analyses results.

KW - C(t)integral(c(t)

KW - Combined mechanical and thermal stress

KW - Crack

KW - Elastic creep

KW - Transient creep condition

UR - http://www.scopus.com/inward/record.url?scp=70350110651&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350110651&partnerID=8YFLogxK

U2 - 10.3795/KSME-A.2009.33.9.949

DO - 10.3795/KSME-A.2009.33.9.949

M3 - Article

AN - SCOPUS:70350110651

VL - 33

SP - 949

EP - 956

JO - Transactions of the Korean Society of Mechanical Engineers, A

JF - Transactions of the Korean Society of Mechanical Engineers, A

SN - 1226-4873

IS - 9

ER -