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Crack Tip Plasticity of a Thermally Loaded Penny-Shaped Crack in an Infinite Space of 1D QC

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Abstract

The present work is concerned with a penny-shaped Dugdale crack embedded in an infinite space of one-dimensional (1D) hexagonal quasicrystals and subjected to two identical axisymmetric temperature loadings on the upper and lower crack surfaces. Applying Dugdale hypothesis to thermo-elastic results, the extent of the plastic zone at the crack tip is determined. The normal stress outside the plastic zone and crack surface displacement are derived in terms of special functions. For a uniform loading case, the corresponding results are presented by simplifying the preceding results. Numerical calculations are carried out to show the influence of some parameters.

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Author information

Authors and Affiliations

  1. School of mechanics and engineering, Southwest Jiaotong University, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of China, 610031, Chengdu, China

    Xiangyu Li, Peidong Li & Guozheng Kang

Authors
  1. Xiangyu Li
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  2. Peidong Li
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  3. Guozheng Kang
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Corresponding author

Correspondence to Xiangyu Li.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11102171) and Program for New Century Excellent Talents in University of Ministry of Education of China (NCET-13-0973). The support from Sichuan Provincial Youth Science and Technology Innovation Team (2013-TD-0004) and Scientific Research Foundation for Returned Scholars (Ministry of Education of China) are acknowledged as well. The authors are thankful to the anonymous reviewers for their constructive comments.

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Li, X., Li, P. & Kang, G. Crack Tip Plasticity of a Thermally Loaded Penny-Shaped Crack in an Infinite Space of 1D QC. Acta Mech. Solida Sin. 28, 471–483 (2015). https://doi.org/10.1016/S0894-9166(15)30043-4

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  • DOI: https://doi.org/10.1016/S0894-9166(15)30043-4

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