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Strain-stress relation in macromolecular microsphere composite hydrogel

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Abstract

This paper investigates the strain-stress relation for the macromolecular microsphere composite (MMC) hydrogel. The novel point is to present the strain-stress model, which is based on the microscopic mixed entropy set up in the previous work and the Flory-Rehner elastic energy. Then, the numerical result of the strain-stress model is shown, which is completely consistent with the chemical experiment. Moreover, the theoretical relation of the strain-stress depends on the microscopic parameters of the MMC hydrogel. Therefore, it is a way to investigate the relation of macroscopic properties and microscopic structures of soft matters. This approach can be extended to other soft matters.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Hui Zhang

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  1. Hui Zhang
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Correspondence to Hui Zhang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11471046 and 11571045), the Funds for the International Cooperation and Exchange of the National Natural Science Foundation of China and Hong Kong Research Grant Council (No. 11261160486), the Ministry of Education Program for New Century Excellent Talents Project (No. NCET-12-0053), and the Fundamental Research Funds for the Central Universities

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Zhang, H. Strain-stress relation in macromolecular microsphere composite hydrogel. Appl. Math. Mech.-Engl. Ed. 37, 1539–1550 (2016). https://doi.org/10.1007/s10483-016-2110-9

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  • DOI: https://doi.org/10.1007/s10483-016-2110-9

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