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A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites

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Abstract

In order to represent the functionally graded properties of interphase, a multi-coated micromechanical model is developed. Based on elliptic shell integration of Green’s function, the strain disturbance in each phase is obtained. According to computational investigation of this model, the outer layer of the interphase does not bring in strain disturbance within the inner ones. To this end, a sequential computational homogenization method is proposed. The inhomogeneities are added sequentially from outside to inside. The temporary effective modulus on each stage is obtained by the Self Consistency Scheme. Then the effective modulus of the overall composites are fitted with a Mori–Tanaka estimation for practical applications. The effectiveness of present method is verified by the results of “2 + 1” and “3 + 1” models in prior researches and finite element simulations. Finally, the influence of thickness and stiffness of interphase on the composites’ effective modulus are investigated.

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Acknowledgements

This work was supported by the Fund of Intelligent Robotic in Ministry of Science and Technology of the People’s Republic of China (Grant Numbers No. 2017YFB1301703), the Fund for distinguished Young Scholars in Shaanxi Province of China (Grant Numbers No. S2018-jc-jq-0260), the Fund on the Guidence of Technology Inovation in Shaanxi Province of China (Grant numbers No. S2018-YD-CGHJ-0014), and Beijing Institute of Collaborative Innovation. The author would like to acknowledge the editors and the anonymous referees of their insightful comments.

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Authors and Affiliations

  1. The Ministry of Education Key Lab of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an, 710072, China

    Yi Cheng, Hui Cheng, Kaifu Zhang, Junshan Hu & Hailin Li

  2. Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA

    Kevontrez Kyvon Jones, Jiaying Gao & Wing Kam Liu

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  1. Yi Cheng
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  2. Hui Cheng
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Correspondence to Kaifu Zhang or Wing Kam Liu.

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Cheng, Y., Cheng, H., Zhang, K. et al. A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites. Comput Mech 64, 1321–1337 (2019). https://doi.org/10.1007/s00466-019-01712-4

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  • DOI: https://doi.org/10.1007/s00466-019-01712-4

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