Modeling Electro-chemo-thermo-mechanical Systems
Our group has successfully contributed to the understanding of mechanisms and processes in electro-chemo-thermo-mechanical systems such as lithium-ion batteries. Early work efforts were related to the development of analytical and numerical methods to understand mechanisms in piezoelectric and ferroelectric materials and their fracture behavior. We have developed variational frameworks to model diffusion induced large plastic deformation, SEI formation, and phase field fracture during the initial lithiation of silicon electrodes. Through a highly successful collaboration with BOSCH, we were able to contribute to a better understanding of the effects of lithium plating in lithium-ion batteries.
Related References
Qiu Y, Zhang X, Usubelli C, Mayer D, Linder C, Christensen J, (2022). “Understanding thermal and mechanical effects on lithium plating in lithium-ion batteries,” Journal of Power Sources, 541:231632.
Zhang X, Klinsman M, Chumakov S, Li X, Kim SU, Metzger M, Besli MM, Klein R, Linder C, Christensen J, (2021). “A modified electrochemical model to account for mechanical effects due to lithium intercalation and external pressure,” Journal of the Electrochemical Society, 168: 020533.
Zhang X, Chumakov S, Li X, Klinsmann M, Kim SU, Linder C, Christensen J, (2020). “An electro-chemo-thermo-mechanical coupled three-dimensional computational framework for lithium-ion batteries,” Journal of the Electrochemical Society, 167: 160542.
Zhang X, Klein R, Subbaraman A, Chumakov S, Li X, Christensen J, Linder C, Kim SU, (2019). “Evaluation of convective heat transfer coefficient and specific heat capacity of a lithium-ion battery using infrared camera and lumped capacitance method,” Journal of Power Sources, 412:552-558.
Zhang X, Krischok A, Linder C, (2016). “A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes,” Computer Methods in Applied Mechanics and Engineering, 312:51-77.
Zhang X, Lee S, Lee H-W, Cui Y, Linder C, (2015). “A reaction-controlled diffusion model for the lithiation of silicon in lithium-ion batteries,” Extreme Mechanics Letters, 4:61-75.
Linder C, (2014). “A complex variable solution based analysis of electric displacement saturation for a cracked piezoelectric material,” Journal of Applied Mechanics, 81:091006(10).
Linder C, Zhang X, (2014). “Three-dimensional finite elements with embedded strong discontinuities to model failure in electromechanical coupled materials,” Computer Methods in Applied Mechanics and Engineering, 273:143-160.
Linder C, (2012). “An analysis of the exponential electric displacement saturation model in fracturing piezoelectric ceramics,” Technische Mechanik, 32:53-69.
Linder C, Miehe C, (2012). “Effect of electric displacement saturation on the hysteretic behavior of ferroelectric ceramics and the initiation and propagation of cracks in piezoelectric ceramics,” Journal of the Mechanics and Physics of Solids, 60:882-903.
Linder C, Rosato D, Miehe C, (2011). “New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids,” Computer Methods in Applied Mechanics and Engineering, 200:141-161.