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Continuum Level Transport and Electro-Chemo-Mechanics Coupling—Solid Oxide Fuel Cells and Lithium Ion Batteries

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Electro-Chemo-Mechanics of Solids

Part of the book series: Electronic Materials: Science & Technology ((EMST))

Abstract

The interplay between mechanics and electrochemistry in advanced systems for energy conversion and storage has gained significant attention because such interplay closely links to both performance and reliability. For example, while certain properties, such as the diffusion coefficient and the electrochemical activity, can be enhanced by mechanical stresses and correlated strains, excessive chemically induced stresses may affect the mechanical reliability of the system. Theoretical investigations on such electro-chemo-mechanical (ECM) coupling at continuum scale are thus needed in order to improve the understanding of the underlying physics and chemistry and to realize better system designs. In spite of the long history of continuum modelling in either solid mechanics or electrochemistry, theories that couple mechanics with electrochemistry are still under development. In this article, we first critically review the governing equations and boundary conditions commonly employed in the continuum modelling of the electrochemical systems. After that, we discuss the extension of such models to include ECM coupling based on Larché and Cahn’s framework. Based on the theory introduced, we then review the application of continuum modelling, in both lithium ion batteries (LIBs) and solid oxide fuel cells (SOFCs) as applied to investigations on ECM coupling.

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Notes

  1. 1.

    In practice, it is possible to have more than one species diffuse within the lattice. For simplicity, \({\text{A}}_{\xi } {\text{B}}\) is considered here but the related physics can be extended easily to materials with more species diffusing [59].

  2. 2.

    The result can also be applied to the case where the electrical field is included. In such a case, one should use the electrochemical potential and the PNP equations instead.

  3. 3.

    The expression of \(\sigma_{kk} /3\) and \(\frac{1}{2}\frac{{\partial C_{mnkl} }}{\partial c}\varepsilon_{mn}^{e} \varepsilon_{kl}^{e}\) utilize Einstein’s notation [63].

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, The Hong Kong University of Science and Technology, Hong Kong, China

    Ting Hei Wan & Francesco Ciucci

  2. Department of Chemical and Biomolecular Engineering, The Hong Kong University of Science and Technology, Hong Kong, China

    Francesco Ciucci

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  1. Ting Hei Wan
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  2. Francesco Ciucci
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Correspondence to Francesco Ciucci .

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  1. Massachesetts Institute of Technology, Cambridge, Massachusetts, USA

    Sean R. Bishop

  2. Kyushu University, Kyushu, Japan

    Nicola H. Perry

  3. Massachusetts Institute of Technology, Cambridge, Massachusetts, USA

    Dario Marrocchelli

  4. Brown University, Providence, USA

    Brian W. Sheldon

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Wan, T.H., Ciucci, F. (2017). Continuum Level Transport and Electro-Chemo-Mechanics Coupling—Solid Oxide Fuel Cells and Lithium Ion Batteries. In: Bishop, S., Perry, N., Marrocchelli, D., Sheldon, B. (eds) Electro-Chemo-Mechanics of Solids. Electronic Materials: Science & Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-51407-9_7

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