Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries
Abstract
The stress-free strain originated from local chemical composition and phase transformation can significantly alter the microstructures of materials; and then affect their properties. In this paper, we developed an analytical method to calculate stress-strain field due to the non-uniform stress-free strain in a spherically symmetrical particle. Applying the method to a lithium ion (Li-ion) battery electrode, the evolution of Li-ion concentration and strain field during the lithiation process is studied. Our studies reveal that the maximum strain in the electrode generally occurs on surface of sample, and is mainly dependent on the difference of Li-ion concentration of surface and of center in sample. Decreasing the difference of Li-ion concentration can efficiently decrease the maximum strain so that cracks of electrodes can been prevented. Our analytical results provide a useful guidance for practical applications of energy storage materials.
- Authors:
-
[1];
[2];
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Rice Univ., Houston, TX (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1624390
- Grant/Contract Number:
- AC02-98CH10886
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 77 NANOSCIENCE AND NANOTECHNOLOGY; 36 MATERIALS SCIENCE; Science & Technology - Other Topics; Nanoparticles
Citation Formats
Meng, Qingping, Wu, Lijun, Welch, David O., Tang, Ming, and Zhu, Yimei. Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries. United States: N. p., 2018.
Web. doi:10.1038/s41598-018-23320-7.
Meng, Qingping, Wu, Lijun, Welch, David O., Tang, Ming, & Zhu, Yimei. Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries. United States. https://doi.org/10.1038/s41598-018-23320-7
Meng, Qingping, Wu, Lijun, Welch, David O., Tang, Ming, and Zhu, Yimei. Wed .
"Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries". United States. https://doi.org/10.1038/s41598-018-23320-7. https://www.osti.gov/servlets/purl/1624390.
@article{osti_1624390,
title = {Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries},
author = {Meng, Qingping and Wu, Lijun and Welch, David O. and Tang, Ming and Zhu, Yimei},
abstractNote = {The stress-free strain originated from local chemical composition and phase transformation can significantly alter the microstructures of materials; and then affect their properties. In this paper, we developed an analytical method to calculate stress-strain field due to the non-uniform stress-free strain in a spherically symmetrical particle. Applying the method to a lithium ion (Li-ion) battery electrode, the evolution of Li-ion concentration and strain field during the lithiation process is studied. Our studies reveal that the maximum strain in the electrode generally occurs on surface of sample, and is mainly dependent on the difference of Li-ion concentration of surface and of center in sample. Decreasing the difference of Li-ion concentration can efficiently decrease the maximum strain so that cracks of electrodes can been prevented. Our analytical results provide a useful guidance for practical applications of energy storage materials.},
doi = {10.1038/s41598-018-23320-7},
journal = {Scientific Reports},
number = 1,
volume = 8,
place = {United States},
year = {Wed Mar 21 00:00:00 EDT 2018},
month = {Wed Mar 21 00:00:00 EDT 2018}
}
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Figures / Tables:
Figure 1: A spherical particle consisting of (a) two phases of α1 and α2 phase, and (b) gradient distribution of concentration. The dished line in (a) is the profile of α1 phase before its change. The color bar in (b) shows the change of concentration.
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