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Kinetic modelling and bifurcation analysis of chemomechanically miniaturized gels under mechanical load

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Abstract

Chemomechanically responsive gels, with great potential applications in the fields of smart structures and biomedicines, present autonomously oscillatory deformation driven by the Belousov-Zhabotinsky chemical reaction. The dynamic behavior of the responsive gels is obviously affected by the external mechanical load. This approach proposed a kinetic model with an ordinary differential equation to describe the oscillatory deformation of the gels under the mechanical load. Then the periodic solutions and phase diagrams of the oscillation are obtained using the improved Runge-Kutta and shooting methods. The results demonstrated that bifurcations are typically existent in the system and the characters of the oscillatory deformation regularly depend on the mechanical load as well as the concentration of reactants and the stoichiometric coefficient of chemical reaction. This development is supposed to promote the practical applications of the chemomechanically responsive gels.

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, 710049, Xi’an, China

    Pengfei Wang, Shaobao Liu, Jinxiong Zhou & Tianjian Lu

  2. Bioinspired Engineering and Biomechanics Center, Xi’an Jiaotong University, 710049, Xi’an, China

    Pengfei Wang, Shaobao Liu, Feng Xu & Tianjian Lu

  3. Key Laboratory of Biomedical Information Engineering of Education Ministry, Xi’an Jiaotong University, 710049, Xi’an, China

    Feng Xu

Authors
  1. Pengfei Wang
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  2. Shaobao Liu
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  3. Jinxiong Zhou
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  4. Feng Xu
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  5. Tianjian Lu
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Correspondence to Pengfei Wang.

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Wang, P., Liu, S., Zhou, J. et al. Kinetic modelling and bifurcation analysis of chemomechanically miniaturized gels under mechanical load. Eur. Phys. J. E 36, 108 (2013). https://doi.org/10.1140/epje/i2013-13108-x

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  • DOI: https://doi.org/10.1140/epje/i2013-13108-x

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