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A Model of Cleavage Crack Propagation in a BCC Polycrystalline Solid Based on the Extended Finite Element Method

27 Pages Posted: 20 Nov 2018 First Look: Accepted

See all articles by Kazuki Shibanuma

Kazuki Shibanuma

University of Tokyo - Graduate School of Engineering

Yuta Suzukia

University of Tokyo - Graduate School of Engineering

Kazuya Kiriyama

University of Tokyo - Graduate School of Engineering

Takuhiro Hemmi

University of Tokyo - Graduate School of Engineering

Katsuyuki Suzuki

University of Tokyo - Graduate School of Engineering

Hiroyuki Shirahatab

Nippon Steel and Sumitomo Metal Corporation - Steel Research Laboratories

Abstract

The first 3D model to simulate cleavage crack propagation in a body center cubic (BCC) polycrystalline solid is presented. The model was developed based on the extended finite element method (XFEM). Crack shape as well as a polycrystal were modeled independently from the finite element mesh. Cleavage crack planes formed on the {100} planes based on the local fracture stress criterion. Crack propagation was simulated by an iterative calculation with updating cleavage planes. Model validations were conducted with experimental fractography using a ferrite-pearlite steel. The results showed that the proposed model successfully simulated complicated cleavage crack propagation behavior, including the wraparound behavior noted in local crack propagation direction as well as the formation of numerous micro-cracks under the main fracture surface. In particular, the comparison of the distribution of the cleavage plane directions quantitatively validated the proposed model. The proposed model in the present study showed potential to help clarify the relationship between microstructure and cleavage crack propagation resistance.

Keywords: Crack propagation, Modeling, Ferritic steel, Polycrystal, Cleavage fracture

Suggested Citation

Shibanuma, Kazuki and Suzukia, Yuta and Kiriyama, Kazuya and Hemmi, Takuhiro and Suzuki, Katsuyuki and Shirahatab, Hiroyuki, A Model of Cleavage Crack Propagation in a BCC Polycrystalline Solid Based on the Extended Finite Element Method (November 19, 2018). Available at SSRN: https://ssrn.com/abstract=3287444 or http://dx.doi.org/10.2139/ssrn.3287444

Kazuki Shibanuma (Contact Author)

University of Tokyo - Graduate School of Engineering ( email )

Yayoi 1-1-1
Bunkyo-ku
Tokyo, 113-8657
Japan

Yuta Suzukia

University of Tokyo - Graduate School of Engineering

Yayoi 1-1-1
Bunkyo-ku
Tokyo, 113-8657
Japan

Kazuya Kiriyama

University of Tokyo - Graduate School of Engineering

Yayoi 1-1-1
Bunkyo-ku
Tokyo, 113-8657
Japan

Takuhiro Hemmi

University of Tokyo - Graduate School of Engineering

Yayoi 1-1-1
Bunkyo-ku
Tokyo, 113-8657
Japan

Katsuyuki Suzuki

University of Tokyo - Graduate School of Engineering

Yayoi 1-1-1
Bunkyo-ku
Tokyo, 113-8657
Japan

Hiroyuki Shirahatab

Nippon Steel and Sumitomo Metal Corporation - Steel Research Laboratories

Chiyoda, Tokyo
Japan

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