Analysis of a cylindrical silicon electrode with a pre-existing crack: Path-independent Ĵ-integral

Kai Zhang, Bailin Zheng, Fuqian Yang, Yong Li

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The cracking of the active materials in a lithium-ion battery as an adverse consequence of lithiation-induced deformation can significantly cause the capacity loss and likely result in catastrophic failure of the lithium-ion battery. Following the work by Kishimoto et al. [1], we introduce the Ĵ-integral for the elastoplastic deformation of an active material with a slit-type crack under chemomechanical loading in this work and prove that the Ĵ-integral is path-independent. We also demonstrate that the classical J-integral is path-dependent and is not appropriate for the fracture analysis of the lithiation-induced cracking of the active materials in lithium-ion batteries. Using the incremental constitutive model developed in this work, we numerically analyze the size dependence of the Ĵ-integral under a constant influx for a cylindrical Si-electrode with a central-slit crack. The numerical results reveal that the value of the Ĵ-integral increases with the increase of the crack size and the influx at the same lithiation time, and there exists a maximum value of the Ĵ-integral for a given physical-geometrical configuration. The lithiation-induced softening has a limited effect on the value of the Ĵ-integral. All of these results suggest that the Ĵ-integral can be used to analyze the lithiation-induced propagation of cracks in active materials.

Original languageEnglish
Article number105602
JournalInternational Journal of Mechanical Sciences
Volume177
DOIs
StatePublished - Jul 1 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Ltd

Funding

BZ, KZ and YL acknowledge the support from the Natural Science Foundation of China under grant Nos. 11672210 (BZ), 11902073 (YL) and 11902222 (KZ).

FundersFunder number
National Natural Science Foundation of China (NSFC)11902073, 11902222, 11672210

    Keywords

    • Crack
    • Fracture mechanics
    • Lithium-ion battery
    • Path-independent integral
    • Silicon electrode

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanics of Materials
    • Mechanical Engineering
    • Aerospace Engineering
    • Ocean Engineering
    • Applied Mathematics
    • General Materials Science
    • Civil and Structural Engineering

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