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Fracture of a thin power-law nonlinear material with a crack using the DCB model

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Abstract

A thin power-law nonlinear material with a crack is studied. For a thin cracked structure, we simulate the layer with an edge crack or a center crack as a double-cantilever beam (DCB) or a double-clamped beam, respectively. A static bending solution is first solved for prescribed bending moment, concentrated force, or uniformly distributed loading. The strain energy is calculated and energy release rate near the crack tip is determined. Obtained results of the power-law singularity of the stress and strain fields is in agreement with that of the well-known HRR field for two-dimensional hardening materials. Explicit expressions for the energy release rate or J integral are obtained. The effects of the hardening exponent on crack growth are analyzed. Our results agree with previous experimental observations of a brass DCB specimen.

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Acknowledgments

This work was supported by the Open Foundation of State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, PR China (No. GZ15204).

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, People’s Republic of China

    Xian-Fang Li

  2. State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Xian-Fang Li & Kang Yong Lee

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  1. Xian-Fang Li
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  2. Kang Yong Lee
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Correspondence to Kang Yong Lee.

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Li, XF., Lee, K.Y. Fracture of a thin power-law nonlinear material with a crack using the DCB model. Int J Fract 201, 119–125 (2016). https://doi.org/10.1007/s10704-016-0116-8

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  • DOI: https://doi.org/10.1007/s10704-016-0116-8

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