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Nanoindentation load functions employed in this study: ( a ) quasi-static t...
Published Online: May 26, 2022
Fig. 1 Nanoindentation load functions employed in this study: ( a ) quasi-static triangular load function to characterize elastic modulus and hardness and ( b ) NanoDMA load function where the function oscillates around a mean load at a fixed frequency of 210 Hz to characterize creep behavior Na... More
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( a ) Electrochemical charge and discharge curves for lithiation and sodiat...
Published Online: May 26, 2022
Fig. 2 ( a ) Electrochemical charge and discharge curves for lithiation and sodiation and ( b ) film thicknesses of pure a -Ge, Li 0.6 Ge, and Na 0.6 Ge. The initial portion of each curve in ( a ) corresponds to an SEI pre-formation step set to minimize the error of controlling how much lithium o... More
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Representative indentation load versus displacement curves of pure Ge, Li 0...
Published Online: May 26, 2022
Fig. 3 Representative indentation load versus displacement curves of pure Ge, Li 0.6 Ge, and Na 0.6 Ge at room temperature. Na 0.6 Ge displaces much further than Ge and Li 0.6 Ge. Representative indentation load versus displacement curves of pure Ge, Li0.6Ge, and Na0.6Ge at room temperature. Na0... More
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Quasi-static nanoindentation results for sodiated and lithiated Ge electrod...
Published Online: May 26, 2022
Fig. 4 Quasi-static nanoindentation results for sodiated and lithiated Ge electrodes tested at peak indentation loads of 1000, 1500, 2000, and 2500 μ N: ( a ) reduced modulus and ( b ) hardness measurement results Quasi-static nanoindentation results for sodiated and lithiated Ge electrodes tes... More
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Rule of mixtures for comparing lithiated and sodiated Ge with their constit...
Published Online: May 26, 2022
Fig. 5 Rule of mixtures for comparing lithiated and sodiated Ge with their constituent components: ( a ) and ( c ) reduced modulus and ( b ) and ( d ) hardness measurement results. ( a ) and ( b ) are presented by atomic fraction, while ( c ) and ( d ) are by volume fraction. Rule of mixtures fo... More
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( a ) Nanoindentation load versus displacement curves of Li 0.6 Ge and Na 0...
Published Online: May 26, 2022
Fig. 6 ( a ) Nanoindentation load versus displacement curves of Li 0.6 Ge and Na 0.6 Ge at room temperature and ( b ) analytical fitting of an experimental creep curve versus time of Li 0.6 Ge using an exponential equation (Eq. (1) ). The quantities of characteristic time t c and overall creep... More
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Characteristic creep parameters of Li 0.6 Ge and Na 0.6 Ge determined from ...
Published Online: May 26, 2022
Fig. 7 Characteristic creep parameters of Li 0.6 Ge and Na 0.6 Ge determined from raw nanoindentation curves Characteristic creep parameters of Li0.6Ge and Na0.6Ge determined from raw nanoindentation curves More
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( a ) Simulated creep curves of Li 0.6 Ge under two different indentation p...
Published Online: May 26, 2022
Fig. 8 ( a ) Simulated creep curves of Li 0.6 Ge under two different indentation peak loads ( P max = 1000 and 2500 μ N) using the SGID model with a diffusivity value of D = 10 −10 cm 2 /s and a stress-diffusion coupling coefficient of α = 0.1, ( b ) schematic of the 3D computational model... More
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Comparison between the experimental creep parameters and the simulated ones...
Published Online: May 26, 2022
Fig. 9 Comparison between the experimental creep parameters and the simulated ones using the SGID model: ( a ) and ( b ) depict Δ h o ¯ and t c for lithiated germanium at room temperature and 80 °C, and ( c ) and ( d ) depict the same for sodiated germanium at room temperature ... More
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Comparison between the experimental creep parameters of sodiated germanium ...
Published Online: May 26, 2022
Fig. 10 Comparison between the experimental creep parameters of sodiated germanium and the simulated ones incorporating both the SGID and STD creep mechanisms: ( a ) normalized amount of creep Δ h o ¯ and ( b ) characteristic time t c Comparison between the experimental creep p... More
Journal Articles
Journal Articles
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Illustration of the homogenization of a membrane embedded with proteins   I...
Published Online: May 26, 2022
Fig. 1 Illustration of the homogenization of a membrane embedded with proteins Illustration of the homogenization of a membrane embedded with proteins More
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Schematic of the generalized boundary conditions to model the specific natu...
Published Online: May 26, 2022
Fig. 2 Schematic of the generalized boundary conditions to model the specific nature of the membrane proteins Schematic of the generalized boundary conditions to model the specific nature of the membrane proteins More
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( a ) Effective bending modulus with respect to the area fraction  f : for ...
Published Online: May 26, 2022
Fig. 3 ( a ) Effective bending modulus with respect to the area fraction f : for some range of values of k 2 , the effective bending modulus shows softening; however, when k 2 → ∞, we recover the well-known expression from classical homogenization κ b eff = κ b 2 / (... More
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γ  as a function of the mean distance between the interacting membranes ( κ...
Published Online: May 26, 2022
Fig. 5 γ as a function of the mean distance between the interacting membranes ( κ b 2 = 20 K b T , the thickness of the membrane a = 5 nm): ( a ) γ in presence of Alamethicin ( R 1 = 1 nm and k 2 = 0.27 × 10 10 K b T / m ) for different area fractions ( q max = 2 π / a ).... More
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The entropic force as a function of the inter membranes distance in log-log...
Published Online: May 26, 2022
Fig. 6 The entropic force as a function of the inter membranes distance in log-log formats: ( a ) f = 0.1 and R 1 = 1 nm, ( b ) f = 0.4 and R 1 = 1 nm, ( c ) f = 0.1 and R 1 =100 nm, ( d ) f = 0.4 and R 1 = 100 nm (the plots were generated using different values of k 2 . The s... More
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Schematic illustration of a spherical thermal energy storage tank embedded ...
Published Online: May 26, 2022
Fig. 1 Schematic illustration of a spherical thermal energy storage tank embedded in the earth for a bidirectional geothermal system [ 3 ] Schematic illustration of a spherical thermal energy storage tank embedded in the earth for a bidirectional geothermal system [3] More