International Journal of Fracture

, Volume 214, Issue 2, pp 185–200 | Cite as

Numerical study on the effect of the Lüders plateau on the ductile crack growth resistance of SENT specimens

  • Shengwen Tu
  • Xiaobo Ren
  • Jianying He
  • Zhiliang ZhangEmail author
Original Paper


The increasing demand of energy prompts the petroleum industry exploitation activities to the Arctic region where the low temperature is a strong challenge, both for structural design and material selection. For structural materials exhibiting the Lüders plateau, it has been reported that lowering the temperature will increase the Lüders plateau length. In order to obtain a deep understanding of the Lüders plateau effect on ductile crack growth resistance, we performed numerical analyses with SENT specimens and the Gurson damage model. The Lüders plateau was simplified by keeping the flow stress constant and varying the plateau length. The results show that the existence of the Lüders plateau does not influence the initiation toughness, however, will alter the material’s fracture resistance significantly. It is found that the Lüders plateau effect is in general controlled by the stress triaxiality level in front of the crack tip. Both the strain hardening and the crack depth effects on resistance curves are alleviated due to the Lüders plateau. For materials with very small initial void volume fraction, the Lüders plateau effect is more pronounced. Since the Lüders plateau intensifies the crack driving force and may lower down crack resistance curve, special attention should be paid to the application of materials with the Lüders plateau in the Arctic.


Lüders plateau Ductile crack growth Resistance curve Constraint Stress triaxiality 



Chinese Scholarship Council; Research Council of Norway, Grant/Award No.: 228513/E30.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Structural EngineeringNorwegian University of Science and Technology (NTNU)TrondheimNorway
  2. 2.SINTEF IndustryTrondheimNorway

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