On Plate Buckling Induced by a Chemical Reaction

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Advances in Linear and Nonlinear Continuum and Structural Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 198))

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Abstract

This paper is concerned with the study of a plate buckling caused by a chemical reaction and is motivated by the use of buckling as a stress relaxation mechanism in silicon-based anodes in lithium-ion batteries. Chemical reaction is localized at the sharp interface—reaction front—and is accompanied by the transformation strain, which generates internal stresses which, in turn, affect the front propagation. If the external supports limit the elongation of the plate, then the transformation strain creates compressive forces, which can lead to buckling of the plate and redistribution of the stresses in the plate. Coupling of stresses and chemical reaction rate is carried out using the concept of a chemical affinity tensor. A problem for a plate with two reaction fronts is considered. The kinetics of the reaction fronts before the loss of plate stability and during post-buckling is studied.

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Acknowledgements

V.O. Shtegman and A.B. Freidin acknowledge the support of the Russian Science Foundation (Grant No. 19-19-00552-\(\Pi \)).

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Correspondence to Alexander B. Freidin .

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Shtegman, V.O., Freidin, A.B., Morozov, A.V. (2023). On Plate Buckling Induced by a Chemical Reaction. In: Altenbach, H., Eremeyev, V. (eds) Advances in Linear and Nonlinear Continuum and Structural Mechanics. Advanced Structured Materials, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-031-43210-1_26

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