Sandwich single cantilever beam (SCB) test has attracted attention as one of the best candidates for evaluating the debond fracture toughness between face-sheet and core in sandwich panels under mode I type loading. To theoretically analyze the sandwich SCB test specimen, beam on elastic foundation models have been proposed. In a previous study, to take the geometric nonlinearity into account, a theoretical analysis method which incorporated the elastica solution into the beam on elastic foundation model was proposed and the validity of the method was investigated. However, the study was restricted to the case where both the face-sheet and the core consist of isotropic materials. In this study, the proposed theoretical analysis method is applied to the case where the face-sheet consists of a carbon fiber reinforced plastics laminate (orthotropic material) and the core consists of a honeycomb (orthotropic material). Then, the validity of the proposed theoretical analysis method is confirmed by comparing it with finite element analysis. The result of the theoretical analysis including geometric nonlinearity shows some agreement with that of finite element analysis. Furthermore, when it is assumed that the crack tip angle of the core obtained from a beam on elastic foundation model can be treated as a large rotation, the result of the theoretical analysis agrees well with that of finite element analysis.