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A novel enriched CB shell element method for simulating arbitrary crack growth in pipes

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Abstract

In this work, a novel numerical method is developed for simulating arbitrary crack growth in pipes with the idea of enriched shape functions which can represent the discontinuity independent of the mesh. The concept of the enriched shape functions is introduced into the continuum-based (CB) shell element. Due to the advantage of CB shell element, the shell thickness variation and surface connection can be concerned during the deformation. The stress intensity factors of the crack in the CB shell element are calculated by using the ‘equivalent domain integral’ method for 3D arbitrary non-planar crack. The maximum energy release rate is used as a propagation criterion. This method is proved able to capture arbitrary crack growth path in pipes which is independent of the element mesh. Numerical examples of different fracture patterns in pipes are presented here.

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Authors and Affiliations

  1. School of Aerospace, Tsinghua University, Beijing, 100084, China

    Zhuo Zhuang & BinBin Cheng

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  1. Zhuo Zhuang
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  2. BinBin Cheng
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Correspondence to Zhuo Zhuang.

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Zhuang, Z., Cheng, B. A novel enriched CB shell element method for simulating arbitrary crack growth in pipes. Sci. China Phys. Mech. Astron. 54, 1520–1531 (2011). https://doi.org/10.1007/s11433-011-4385-y

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  • DOI: https://doi.org/10.1007/s11433-011-4385-y

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