Modeling induced stresses

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Hi everyone, I am trying to do a 1D simulation of induced stresses in the carbon fiber anode and LiFePO4 composite matrix cathode of a structural composite battery due to Li-ion intercalation/deintercalation using COMSOL. Carbon fiber acts as the negative electrode and is transversely isotropic. I have a value of intercalation-expansion coefficient B_j and each component's electrochemical and mechanical properties. I have not been able to solve the following points. 1. I have not been able to define transversely isotropic materials of carbon fiber anode. 2. I have not been able to assign swelling strain to the console. 3. I'm not able to couple lithium battery physics with solid mechanics.

The displacement and stress solutions obtained for each phase must satisfy the following. Interface conditions: (i)Radial displacement must be zero on the symmetry axis. (ii)Radial displacement and radial stress continuity at all interfaces. (iii) The outer boundary of the cylinder assembly is stress-free. In the equation, where ck is the time-dependent Li concentration in the active material, ck, max is the maximum concentration corresponding to Li intercalated into all available sites in the host materials. index k-m for the matrix, k-c for the coating(solid electrolyte), and k-f for the fiber in the cylindrical coordinates.

I need to follow the variable plot during charging and discharging. 1. Li distribution in fiber radial position. 2. Lithium concentration in the carbon fiber center and at the surface. 3. Li distribution in the matrix during loading . 4. Stresses at fiber boundary. 5. Stress distribution along fiber radial direction

I request to you please guide me how can i perform this simulation.



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