The interface delamination will directly lead to mechanical failure of solid oxide fuel cells (SOFCs), so improving interface strength is essential to ensure the stability of cell. A novel fundamental theoretical model for half-cell of corrugated SOFC is employed to analyze the interface strength of corrugated anode-electrolyte interface of which interfacial morphology is characterized by parabolic function. Based on potential energy principle and first variation theory of half-cell system, the analytical solution of peel force under different peel angles is derived and agrees well with the previous research result. The results show that introducing the corrugated interface can improve the interface strength. The extreme values of peel force described by parabolic function are compared with that by sinusoidal function under different peel angles. The ultimate peel strength and allowable peel strength corresponding to two shape functions are preferable in different ranges of amplitude-wavelength ratio. In addition, the corresponding peel angle and amplitude-wavelength ratio are also determined and discussed for when peel angle is less than inclination angle of corrugated film. The research provides guidance for optimizing the interfacial morphology and enhancing the interface strength.