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A note on Mori-Tanaka’s method

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Abstract

Explicit expressions of Mori-Tanaka’s tensor for a transversely isotropic fiber reinforced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka’s tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby’s tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made.

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Authors and Affiliations

  1. School of Aerospace Engineering & Applied Mechanics, Tongji University, 1239 Siping Road, 200092, Shanghai, China

    Ling Liu & Zhengming Huang

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  1. Ling Liu
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  2. Zhengming Huang
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Correspondence to Zhengming Huang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11272238) and Doctoral Fund of Ministry of Education of China (No. 20120072110036).

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Liu, L., Huang, Z. A note on Mori-Tanaka’s method. Acta Mech. Solida Sin. 27, 234–244 (2014). https://doi.org/10.1016/S0894-9166(14)60033-1

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  • DOI: https://doi.org/10.1016/S0894-9166(14)60033-1

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