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Energies 2018, 11(6), 1461;

Three-Dimensional Peridynamic Model for Predicting Fracture Evolution during the Lithiation Process

Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow G4 0LZ, UK
Author to whom correspondence should be addressed.
Received: 12 May 2018 / Revised: 26 May 2018 / Accepted: 31 May 2018 / Published: 5 June 2018
(This article belongs to the Special Issue Computational Methods of Multi-Physics Problems)
PDF [20426 KB, uploaded 5 June 2018]


Due to its large electric capacity, silicon has become one of the most promising electrode materials for lithium ion batteries. However, silicon undergoes large volumetric expansion and material stiffness reduction during the charging process. This can lead to fracture and failure of lithium-ion batteries. Damage formation and evolution inside the electrode are influenced by the lithium ion concentration and electrode material. High stress gradients induced by heterogeneous deformation can lead to massive migration of lithium ions towards high geometrical singularity regions, such as crack edge regions, which increases the lithium ion concentration. Fully coupled mechanical diffusion equations are important in describing the mechanics of this problem. In this study, the three-dimensional peridynamic theory is presented to solve the coupled field problem. In addition, the newly developed peridynamic differential operator concept is utilized to convert partial differential equations into peridynamic form for the diffusion equation. Spherical and cylindrical shaped energy storage structures with different pre-existing penny-shaped cracks are considered to demonstrate the capability of the developed framework. It is shown that peridynamic theory is a suitable tool for predicting crack evolution during the lithiation process. View Full-Text
Keywords: lithium-ion battery; fracture analysis; peridynamics; pressure gradient effect lithium-ion battery; fracture analysis; peridynamics; pressure gradient effect

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Wang, H.; Oterkus, E.; Oterkus, S. Three-Dimensional Peridynamic Model for Predicting Fracture Evolution during the Lithiation Process. Energies 2018, 11, 1461.

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