A finite strain electro-chemo-mechanical theory for ion transport with application to binary solid electrolytes

Ganser, Markus; Hildebrand, Felix; Kamlah, Marc; McMeeking, Robert M.

doi:10.1016/j.jmps.2019.01.004

Cited by 70 publications

(44 citation statements)

References 75 publications

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“…We simplify the model by assuming that the interface between the negative electrode and the separator remains planar at all times. This assumption rules out the formation of dendrites of lithium in the separator [6,7,15] and eliminates the possibility of the presence or the growth of non-planar imperfections on the surface of the lithium metal [3][4][5][6][7]15]. In addition, we neglect any contribution made by mechanics to the rate at which the redox reaction proceeds [3][4][5][6][7][8].…”

Section: Current Densitymentioning

confidence: 99%

“…This assumption rules out the formation of dendrites of lithium in the separator [6,7,15] and eliminates the possibility of the presence or the growth of non-planar imperfections on the surface of the lithium metal [3][4][5][6][7]15]. In addition, we neglect any contribution made by mechanics to the rate at which the redox reaction proceeds [3][4][5][6][7][8]. As a consequence of these two assumptions, we can state the rate of the redox reaction, given by the Butler-Volmer equation [9,16]…”

Section: Current Densitymentioning

confidence: 99%

“…Solid state batteries have potentially useful characteristics, such as a high specific capacity, superior electrochemical stability in some contexts, and the ability to be exploited as structural elements in transportation systems, thereby saving vehicle weight compared to liquid electrolyte batteries [1]. Models for the performance of solid state lithium-ion batteries are under active development, with the objective of bringing insight into how such systems can be improved and optimized for capacity and durability [2][3][4][5]. Other treatments of the topic were placed in the literature some time ago [6,7], and are being updated as interest in solid state batteries rises [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An elementary 1-dimensional model for a solid state lithium-ion battery with a single ion conductor electrolyte and a lithium metal negative electrode

Mykhaylov

Ganser

Klinsmann

et al. 2019

Journal of the Mechanics and Physics of Solids

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An elementary 1-dimensional model is developed for a solid state lithium-ion battery having a single ion conductor electrolyte, a lithium metal negative electrode and a composite positive electrode. The battery topology is assumed to be of the layered variety, thereby justifying the 1dimensional formulation. The governing equations for the electrochemical kinetics at the interface between the negative electrode and the electrolyte separator are stated, as are those for ion transport in the electrolyte. The positive electrode is assumed to be a particulate composite of storage material within a matrix of electrolyte. A mixture theory is developed for the positive electrode encompassing ion transport in the electrolyte matrix and storage and unstorage of lithium in the active material subject to electrochemical kinetics at the perimeter of the storage particles. Many simplifying assumptions are made with the advantage of them leading to closedform or semi-closed-form solutions, including linearization of the equations governing the redox kinetics at interfaces in the battery between electrolyte and active material. An approximation is given for the concentration of lithium in the positive electrode of the battery during discharge, with the details depending on a length scale parameter that depends on the competition between the rate of lithium insertion into/extraction from the storage particles and the rate at which lithium ions are transported in the electrolyte. When the conductivity of the electrolyte is high and the redox reactions are relatively sluggish, this length scale parameter is comparable to the thickness of the positive electrode or larger than it. In that case lithium insertion into/extraction from storage particles occurs everywhere within an active zone of the positive electrode, but with the rates least at the current collector of the positive electrode. If the conductivity of the electrolyte is poor and the redox reactions rapid, the length scale for the solution is small compared to the thickness of the positive electrode and insertion into/extraction from storage particles occurs only in a narrow slice of the positive electrode. This slice moved along the positive electrode and separates a region of it that is completely filled/empty from a region of it that has not yet gained or lost any of its lithium. In all cases there will also be a region of the positive electrode near the separator that is completely filled during discharge and completely

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Section: Current Densitymentioning

confidence: 99%

Section: Current Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An elementary 1-dimensional model for a solid state lithium-ion battery with a single ion conductor electrolyte and a lithium metal negative electrode

Mykhaylov

Ganser

Klinsmann

et al. 2019

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

show abstract

“…As the mechanical failures of cell components are thought to be crucial factors for the capacity degradation of ASSB, a great deal of researchers have oriented their efforts toward clarifying the mechanical response and the potential endangerment mechanism of the cell systems in the recent three years [ 39 , 40 , 41 , 42 , 43 , 44 ]. One has gradually recognized that the Vegard stress induced by the electrochemical reaction at the cathode can not only imperil both active substances and bonding materials in the composite electrode, but also injure the solid electrolyte which acts as the separator sandwiched between the anode and cathode.…”

Section: Introductionmentioning

confidence: 99%

“…Compared to extensive research on the internal stress in ASSB with inorganic solid electrolytes, very little literature has documented the mechanical-electrochemical behavior of cells based on SPEs. Although some progress has been achieved on the issue [ 39 , 40 ], the structure relaxation of electrolyte materials has not been taken into account. Up to now, major challenges remain in developing polymer electrolyte materials to meet the requirements of commercialization, and one of the pressing tasks is how to control the mechanical deterioration of ASSB with time-aging SPEs under the circumstance of usage.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Integrity Degradation and Control of All-Solid-State Lithium Battery with Physical Aging Poly (Vinyl Alcohol)-Based Electrolyte

Zhou

et al. 2020

Polymers

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Ensuring the material durability of an electrolyte is a prerequisite for the long-term service of all-solid-state batteries (ASSBs). Herein, to investigate the mechanical integrity of a solid polymer electrolyte (SPE) in an ASSB upon electrochemical operation, we have implemented a sequence of quasi-static uniaxial tension and stress relaxation tests on a lithium perchlorate-doped poly (vinyl alcohol) electrolyte, and then discussed the viscoelastic behavior as well as the strength of SPE film during the physical aging process. On this basis, a continuum electrochemical-mechanical model is established to evaluate the stress evolution and mechanical detriment of aging electrolytes in an ASSB at a discharge state. It is found that the measured elastic modulus, yield stress, and characteristic relaxation time boost with the prolonged aging time. Meanwhile, the shape factor for the classical time-decay equation and the tensile rupture strength are independent of the aging history. Accordingly, the momentary relaxation modulus can be predicted in terms of the time–aging time superposition principle. Furthermore, the peak tensile stress in SPE film for the full discharged ASSB will significantly increase as the aging proceeds due to the stiffening of the electrolyte composite. It may result in the structure failure of the cell system. However, this negative effect can be suppressed by the suggested method, which is given by a 2D map under different lithiation rates and relative thicknesses of the electrolyte. These findings can advance the knowledge of SPE degradation and provide insights into reliable all-solid-state electrochemical device applications.

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Unveiling Gating Behavior in Piezoionic Effect: toward Neuromimetic Tactile Sensing

Wang,

Yang,

Zhang

et al. 2024

Advanced Materials

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The human perception system's information processing is intricately linked to the nonlinear response and gating effect of neurons. While piezoionics holds potential in emulating the pressure sensing capability of biological skin, the incorporation of information processing functions seems neglected. Here, ionic gating behavior in piezoionic hydrogels is uncovered as a notable extension beyond the previously observed linear responses. The hydrogel can generate remarkably high voltages (700 mV) and currents (7 mA) when indentation forces surpass the threshold. Through a comprehensive analysis involving simulations and experimental investigations, it is proposed that the gating behavior emerges due to significant diffusion differences between cations and anions. To showcase the practical implications of this breakthrough, the piezoionic hydrogels are successfully integrated with prostheses and robot hands, demonstrating that the gating effect enables accurate discrimination between gentle and harsh touch. The advancement in neuromimetic tactile sensing has significant potential for emerging applications such as humanoid robotics and biomedical engineering, offering valuable opportunities for further development of embodied neuromorphic intelligence.

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A finite strain electro-chemo-mechanical theory for ion transport with application to binary solid electrolytes

Cited by 70 publications

References 75 publications

An elementary 1-dimensional model for a solid state lithium-ion battery with a single ion conductor electrolyte and a lithium metal negative electrode

An elementary 1-dimensional model for a solid state lithium-ion battery with a single ion conductor electrolyte and a lithium metal negative electrode

Mechanical Integrity Degradation and Control of All-Solid-State Lithium Battery with Physical Aging Poly (Vinyl Alcohol)-Based Electrolyte

Unveiling Gating Behavior in Piezoionic Effect: toward Neuromimetic Tactile Sensing

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