A Closed-Form Solution of Effective Young's Modulus for Composites Including Multi-Shape Inclusions Using Improved Mori-Tanaka Model

Dong Mei Luo; Hong Yang; Yi Ying Xiao; Wen Xue Wang

doi:10.4028/www.scientific.net/AMR.704.343

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A Closed-Form Solution of Effective Young's Modulus for Composites Including Multi-Shape Inclusions Using Improved Mori-Tanaka Model

Abstract:

In this paper, an improved model is proposed by combining Mori-Tanaka method with Eshelbys equivalent inclusion concept to derive a closed-form solution of the effective Young's modulus E₁₁for hybrid composites reinforced with multi-shapes inclusions. When only the fiber-like inclusions are considered in the model, the results are consistent with those from Tandons unidirectional aligned composites based on Mori-Tanaka theory. For composites reinforced with fiber-like and spherical inclusions, the homogenization theory is employed to verify the effects of the proposed model. The influence of volume fraction and Youngs modulus of each phase on effective Youngs modulus E₁₁ is investigated, and the results show that E₁₁ is sensitive to the inclusion shapes, and the model is practicable to predict the effective mechanical properties of composites reinforced by several inclusions with different shapes.

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2013 Spring International Conference on Material Sciences and Technology (MST-S)

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Periodical:

Advanced Materials Research (Volume 704)

Pages:

343-348

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.704.343

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Online since:

June 2013

Authors:

Dong Mei Luo, Hong Yang, Yi Ying Xiao, Wen Xue Wang

Keywords:

Effective Elastic Modulus, Equivalent Inclusion Model, Homogenization Theory, Mori-Tanaka Method, Multi-Shape Inclusions

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