Abstract
Recent experiments on Lithium ion battery have observed a direct correlation between failure of electrode and/or electrode-binder interface with the surroundings experienced by binder. Hence a realistic estimate of diffusion induced stress (DIS) in electrode and binder through modeling entails incorporation of actual conditions on the binder surface. Towards that goal, present work considers a cylindrical linear elastic electrode particle completely surrounded by a linear viscoelastic binder in the form of annulus and undergoing lithiation. Contact between the current collector and binder is modeled by completely constraining the binder displacement while the contact with neighboring particle is captured via springs. The resulting mixed boundary value problem on cylindrical domain is solved semi-analytically through novel approach and systematic studies are carried out to study the impact of boundary conditions on the DIS in electrode and binder by varying the extent and stiffness of the constraint portion of the boundary surface. The analysis emphasizes the heterogeneous stress-field in electrode-binder system and stress concentration especially in the vicinity of constraint region of binder as an outcome of the verisimilitude boundary conditions which in turn can act as precursor for the failures observed in experiments.
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