Coupled Thermal and Electrochemical Diffusion in Solid State Battery Systems

Werner, Marek; Weinberg, Kerstin

doi:10.1007/978-3-030-13307-8_35

Cited by 2 publications

(5 citation statements)

References 15 publications

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“…As described in detail in [57], the formal derivation of the electro-chemo-thermo-mechanical model relies on the thermodynamics of irreversible processes and assumes local equilibrium conditions within a small volume of material at position X [14]. The internal energy U changes with contributions of heat supply Q, heat flux H, power of deformation P :Ḟ, mass diffusion, chemical reactions, and the presence of an electric field E •Ḋ.…”

Section: Thermodynamic Derivation Of Constitutive Relationsmentioning

confidence: 99%

“…Most approaches used to model batteries account for small deformations and linear elasticity, cf. [8,22,57]. The description is comparatively easy and is adequate for many applications, but new developments, such as silicon anodes, require to account for considerable changes of shape and volume.…”

Section: Introductionmentioning

confidence: 99%

“…Equilibrium concentrations for potential(57), which is based on concentration dependent bulk moduli with similar values of K 0 and K 1 (left) and strong softening (right). The upper branch of the plots shows c β , the lower branch c α , the white stripe at c eq ∼ 0.6 separates the equilibria.…”

mentioning

confidence: 99%

“…The upper branch of the plots shows c β , the lower branch c α , the white stripe at c eq ∼ 0.6 separates the equilibria. Color coding indicates the bulk moduli difference ΔK = (K 0 − K 1 )/θ (color figure online) Equilibrium concentrations for potential(57), which is based on concentration-dependent bulk moduli with similar values of K 0 and K 1 (left) and strong softening (right). The upper branch of the plots shows c β , the lower branch c α , and the white stripe at c eq ∼ 0.6 separates the equilibria.…”

mentioning

confidence: 99%

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A multi-field model for charging and discharging of lithium-ion battery electrodes

Werner

Pandolfi

Weinberg

2020

Continuum Mech. Thermodyn.

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An electrochemical–thermomechanical model for the description of charging and discharging processes in lithium electrodes is presented. Multi-physics coupling is achieved through the constitutive relations, obtained within a consistent thermodynamic framework based on the definition of the free energy density, sum of distinct contributions from different physics. The system is characterized by finite kinematics, under the assumption of locality of deformation, and the deformation gradient is decomposed into the product of elastic and inelastic parts. Specifically, a Taylor series expansion is used to approximate the inelastic deformation due to ion intercalation. The elastic part can be described alternatively by two finite kinematics models of neo-Hookean elasticity, and a Maxwell-type viscoelastic model accounts for time-dependent mechanical aspects. The model is implemented into a finite element code that uses B-spline basis functions. We illustrate the features of the model by means of selects examples, showing that chemo-mechanical interaction affects the equilibrium concentrations of the phases. The model captures the fundamental aspects of the anode charging and discharging processes.

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Section: Thermodynamic Derivation Of Constitutive Relationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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A multi-field model for charging and discharging of lithium-ion battery electrodes

Werner

Pandolfi

Weinberg

2020

Continuum Mech. Thermodyn.

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“…Hu et al [28] presented a continuum model for hollow core-shell electrodes by coupling a one-dimensional electrochemical battery model with a two-dimensional thermal model. Werner and Weinberg [51] proposed, based on thermodynamics of irreversible processes, a coupled thermo-chemo-mechanical model for solid state batteries, which also takes phenomena such as phase transformations, thermal diffusion and thermoelectric effects into account. A coupled thermo-chemomechanical model for graphite, NMC, and LMO electrode particles was proposed by Masmoudi et al [35] based on thermodynamics of irreversible processes.…”

Section: Introductionmentioning

confidence: 99%

A thermo-chemo-mechanically coupled model for cathode particles in lithium–ion batteries

Nateghi

Keip

2021

Acta Mech

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As the demand for lithium-ion batteries increases, a better understanding of the complex phenomena involved in their operation becomes crucial. In this work, we propose a coupled thermo-chemo-mechanical model for electrode particles of Li–ion batteries. To this end, we start with a general finite strain continuum framework for the coupled thermo-chemo-mechanical problem and then narrow it down to cathode active particles of Li–ion batteries, particularly to lithium manganese oxide particles. Electrochemical kinetics at the surface of the particle and also heat generation due to current exchange are taken into account. Next, the numerical treatment of the problem using the finite element method is presented. Specific line elements are needed to evaluate the flux of ions at the surface of the particle. Finally, the performance of the proposed model is evaluated using a few representative boundary value problems.

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Coupled Thermal and Electrochemical Diffusion in Solid State Battery Systems

Cited by 2 publications

References 15 publications

A multi-field model for charging and discharging of lithium-ion battery electrodes

A multi-field model for charging and discharging of lithium-ion battery electrodes

A thermo-chemo-mechanically coupled model for cathode particles in lithium–ion batteries

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