A mathematical model is presented that incorporates the dimensional and porosity changes in porous electrodes caused by volume changes in the active material during intercalation. Porosity and dimensional changes in an electrode can significantly affect the resistance of the battery during cycling. In addition, volume changes generate stresses in the electrode, which can lead to premature failure of the battery. Here, material conservation equations are coupled with the mechanical properties of porous electrodes to link dimensional and porosity changes to stresses and the resulting resistances that occur during the intercalation processes. Several different battery casings are examined in order to generate summary figures to aid in battery design. The associated stress, strain, porosity and resistance is predicted and discussed in relation to battery performance. Significant strides have been made to improve the range, cost, and fueling times of electric vehicles through the improvement of the design and control of cells, and several automobile manufacturers are releasing battery powered vehicles with price points that target the general public.1-10 New chemistries, such as lithium ion, have also been examined in order to increase the energy densities of these batteries in order to increase the range of battery powered vehicles, and decrease the volume displacement of these batteries in the vehicle powertrain. However, because these new chemistries result in more energy in a smaller volume, safety problems may arise.11 Therefore, it is critical to be able to predict the performance of new battery systems in order to improve safety and reliability, while also continuing to increase the energy density, which in turn decreases the weight and volume requirement of battery systems in alternative energy passenger vehicles.Due to the recent commercial and government sector success of high energy density batteries, high performance electrode materials, separators, electrolytes, and new cell and stack designs are being actively developed to further improve cell capacity, charging and discharge rates, safety, cycle life, and shelf life. The most widely used anode material (graphite) in Lithium-ion batteries undergoes a volume change (10%) during lithiation and delithiation cycles.12 However, high capacity anode materials, such as silicon and its alloys, undergo even higher volume changes ranging from 100% to 270%.12-15 Other battery chemistries, such as Li-Sn alloy intercalation cathodes, have seen volume changes as high as 350% as observed by Yang et al.
16The volume changes seen in these new battery electrode materials induce a significant amount of stress in the electrodes during battery operation.12,17-19 These volume changes and high stresses may result in the fracturing of active particles within the electrodes, and induces bulk stresses at the cell and stack level. A moderate amount of bulk stress in lithium-ion cells may be beneficial to cell operation, however, excessive stresses cause reduced cell performance an...