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Field intensity factors around inclusion corners in 0–3 and 1–3 composites subjected to thermo-mechanical loads

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Abstract

A super inclusion corner apex element for polygonal inclusions in 0–3 and 1–3 composites is developed by using numerical stress and displacement field solutions based on an ad hoc finite element eigenanalysis method. Singular stresses near the apex of inclusion corner under thermo-mechanical loads can be obtained by using a super inclusion corner apex element in conjunction with hybrid-stress elements. The validity and the applicability of this technique are established by comparing the present numerical results with the existing solutions and the conventional finite element solutions. As examples of applications, a square array of square inclusions in 0–3 composites and a rectangular array of rectangular inclusions in 1–3 composites are considered. All numerical examples show that the present numerical method yields satisfactory solutions with fewer elements and is applicable to complex problems such as multiple singular points or fields in composite materials.

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Acknowledgments

This study is sponsored by the National Natural Science Foundation of China under Grant No. 51065008 and No. 51365013, the Natural Science Foundation of Jiangxi Province under Grant No. 20133ACB21002 and the Jiangxi provincial Jinggang-Star training Plan for Young Scientists under Grant No. 20112BCB23013. The support provided by China Scholarship Council (CSC) and Jiangxi Education Department during a visit of Xuecheng Ping to Prof. Yonggang Huang’s research group in Northwestern University are also acknowledged.

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Authors and Affiliations

  1. School of Mechanical and Electronical Engineering, East China Jiaotong University, Nanchang, 330013, Jiangxi, China

    Xuecheng Ping, Yihua Xiao & Qing Wang

  2. School of Civil Engineering, East China Jiaotong University, Nanchang, 330013, Jiangxi, China

    Mengcheng Chen

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  1. Xuecheng Ping
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  2. Mengcheng Chen
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Correspondence to Mengcheng Chen.

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Ping, X., Chen, M., Xiao, Y. et al. Field intensity factors around inclusion corners in 0–3 and 1–3 composites subjected to thermo-mechanical loads. Int J Mech Mater Des 12, 121–139 (2016). https://doi.org/10.1007/s10999-014-9287-5

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  • DOI: https://doi.org/10.1007/s10999-014-9287-5

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