Crack-tip constraint analysis of two collinear cracks under creep condition

Guang-Chen Jiao, Wei-Zhe Wang and Pu-Ning Jiang

Abstract

The higher-order asymptotic C(t) − A2(t) approach was employed to investigate the crack-tip stress of two collinear cracks in a power-law creeping material under the plane strain conditions. A comprehensive calculation was made of the single crack, collinear crack model with S/a = 0.4 and 0.8, by using the C(t) − A2(t) approach, HRR-type field and the finite element analysis; the latter two methods were used to check the constraint significance and the calculation accuracy of the C(t) − A2(t) approach, respectively. With increasing the creep time, the constraint A2 was exponentially increased in the smallscale creep stage, while no discernible dependency of the constraint A2 on the creep time was found at the extensive creep state. In addition, the creep time and the mechanical loads have no distinct influence on accuracy of the results obtained from the higher-order asymptotic C(t) − A2(t) approach. In comparison with the HRR-type field, the higher-order asymptotic C(t) − A2(t) solution matches well with the finite element results for the collinear crack model.

Key Words

constraint; creep; plane strain; interacting cracks; C(t) − A2(t) approach

Address

Guang-Chen Jiao: Key Lab of Education Ministry of China for Power Machinery and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China Wei-Zhe Wang: Key Lab of Education Ministry of China for Power Machinery and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China; Stat Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, P.R. China Pu-Ning Jiang: Key Lab of Education Ministry of China for Power Machinery and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China

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