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A thermodynamic framework for thermo-chemo-elastic interactions in chemically active materials

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Abstract

In this paper, a general thermodynamic framework is developed to describe the thermo-chemo-mechanical interactions in elastic solids undergoing mechanical deformation, imbibition of diffusive chemical species, chemical reactions and heat exchanges. Fully coupled constitutive relations and evolving laws for irreversible fluxes are provided based on entropy imbalance and stoichiometry that governs reactions. The framework manifests itself with a special feature that the change of Helmholtz free energy is attributed to separate contributions of the diffusion-swelling process and chemical reaction-dilation process. Both the extent of reaction and the concentrations of diffusive species are taken as independent state variables, which describe the reaction-activated responses with underlying variation of microstructures and properties of a material in an explicit way. A specialized isothermal formulation for isotropic materials is proposed that can properly account for volumetric constraints from material incompressibility under chemo-mechanical loadings, in which inhomogeneous deformation is associated with reaction and diffusion under various kinetic time scales. This framework can be easily applied to model the transient volumetric swelling of a solid caused by imbibition of external chemical species and simultaneous chemical dilation arising from reactions between the diffusing species and the solid.

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    XiaoLong Zhang & Zheng Zhong

  2. School of Science, Harbin Institute of Technology, Shenzhen, 518055, China

    Zheng Zhong

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  1. XiaoLong Zhang
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  2. Zheng Zhong
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Correspondence to Zheng Zhong.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11572227), and Shenzhen Municipal Government through the Fundamental Research Project (Grant No. JCYJ20170307151049286).

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Zhang, X., Zhong, Z. A thermodynamic framework for thermo-chemo-elastic interactions in chemically active materials. Sci. China Phys. Mech. Astron. 60, 084611 (2017). https://doi.org/10.1007/s11433-017-9044-9

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