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. , 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.
|Journal||International Journal of Mechanical Sciences|
|State||Published - Jul 1 2020|
Bibliographical noteFunding Information:
BZ, KZ and YL acknowledge the support from the Natural Science Foundation of China under grant Nos. 11672210 (BZ), 11902073 (YL) and 11902222 (KZ).
© 2020 Elsevier Ltd
- Fracture mechanics
- Lithium-ion battery
- Path-independent integral
- Silicon electrode
ASJC Scopus subject areas
- Civil and Structural Engineering
- Materials Science (all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering