Three-dimensional peridynamic model to predict fracture evolution during lithiation process

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Due to large electric capacity, silicon has become one of the most promising electrode materials for lithium-ion batteries. However, silicon experiences large volumetric expansion and material stiffness reduction during charging process. This will lead to fracture and failure of lithium-ion batteries. Damage formation and evolution inside the electrode are influenced by lithium-ion concentration and electrode material. High stress gradients induced by heterogeneous deformation will lead to massive migration of lithium-ion towards high geometrical singularity regions, such as crack edge regions, which increases the lithium-ion concentration. Therefore, fully coupled mechanical-diffusion equations are important in describing the mechanics of t his problem. In this study, the three-dimensional peridynamic theory is presented to solve the coupled field problem. Besides, 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 to predict crack evolution during lithiation process.
LanguageEnglish
Article number1461
Number of pages22
JournalEnergies
Volume11
Issue number6
DOIs
Publication statusPublished - 5 Jun 2018

Fingerprint

Lithium-ion Battery
Electrode
Crack
Lithium
Cracks
Diffusion equation
Predict
Three-dimensional
Electrodes
Silicon
Ions
Energy Storage
Energy storage
Partial differential equations
Convert
Migration
Mechanics
Mathematical operators
Differential operator
Stiffness

Keywords

  • lithium-ion battery
  • fracture analysis
  • peridynamics
  • pressure grdient effect

Cite this

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title = "Three-dimensional peridynamic model to predict fracture evolution during lithiation process",
abstract = "Due to large electric capacity, silicon has become one of the most promising electrode materials for lithium-ion batteries. However, silicon experiences large volumetric expansion and material stiffness reduction during charging process. This will lead to fracture and failure of lithium-ion batteries. Damage formation and evolution inside the electrode are influenced by lithium-ion concentration and electrode material. High stress gradients induced by heterogeneous deformation will lead to massive migration of lithium-ion towards high geometrical singularity regions, such as crack edge regions, which increases the lithium-ion concentration. Therefore, fully coupled mechanical-diffusion equations are important in describing the mechanics of t his problem. In this study, the three-dimensional peridynamic theory is presented to solve the coupled field problem. Besides, 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 to predict crack evolution during lithiation process.",
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author = "Hanlin Wang and Erkan Oterkus and Selda Oterkus",
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Three-dimensional peridynamic model to predict fracture evolution during lithiation process. / Wang, Hanlin; Oterkus, Erkan; Oterkus, Selda.

In: Energies, Vol. 11, No. 6, 1461, 05.06.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Three-dimensional peridynamic model to predict fracture evolution during lithiation process

AU - Wang, Hanlin

AU - Oterkus, Erkan

AU - Oterkus, Selda

PY - 2018/6/5

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N2 - Due to large electric capacity, silicon has become one of the most promising electrode materials for lithium-ion batteries. However, silicon experiences large volumetric expansion and material stiffness reduction during charging process. This will lead to fracture and failure of lithium-ion batteries. Damage formation and evolution inside the electrode are influenced by lithium-ion concentration and electrode material. High stress gradients induced by heterogeneous deformation will lead to massive migration of lithium-ion towards high geometrical singularity regions, such as crack edge regions, which increases the lithium-ion concentration. Therefore, fully coupled mechanical-diffusion equations are important in describing the mechanics of t his problem. In this study, the three-dimensional peridynamic theory is presented to solve the coupled field problem. Besides, 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 to predict crack evolution during lithiation process.

AB - Due to large electric capacity, silicon has become one of the most promising electrode materials for lithium-ion batteries. However, silicon experiences large volumetric expansion and material stiffness reduction during charging process. This will lead to fracture and failure of lithium-ion batteries. Damage formation and evolution inside the electrode are influenced by lithium-ion concentration and electrode material. High stress gradients induced by heterogeneous deformation will lead to massive migration of lithium-ion towards high geometrical singularity regions, such as crack edge regions, which increases the lithium-ion concentration. Therefore, fully coupled mechanical-diffusion equations are important in describing the mechanics of t his problem. In this study, the three-dimensional peridynamic theory is presented to solve the coupled field problem. Besides, 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 to predict crack evolution during lithiation process.

KW - lithium-ion battery

KW - fracture analysis

KW - peridynamics

KW - pressure grdient effect

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