Solid Oxide Fuel Cells (SOFC) can realize very high power generation efficiency to convert the chemical energy of H_2 directly into electrical energy. Achieving practical SOFCs will require more than just improvement in power generation performance; ensuring reliability and durability will also be crucial. So, in this study, the influences of chemically induced expansion on the fracture damage of SOFCs were investigated by using numerical stress and deformation analyses under operating condition. The SOFC model cell examined in this study was composed of electrolyte YSZ, GDC, LSGM and LSGMC, respectively. The finite element method (FEM) was employed to calculate the residual stress, thermal stresses, and chemically induced expansion stresses for the single cell.