Display omitted •This study targets for representing of the solid fats.•The ADF model developed to represent elastoplastic deformation and fracture behavior.•The three parameters were determined by compression and cutting tests.•The parameters were determined to be as Lps = 0.001, Jsc = 30 kN/m and Ms = 0.25.•Simulated compression and cutting behaviors agree with the experimental behaviors. A new simulation model, namely, ADEM Ductile Fracture model (ADF model) is developed to represent elastoplastic deformation and fracture behaviors of solid fats. Experimental measurement of the coefficient of plastic starting distance and the yield point affecting the deformation behavior has been obtained by compression test. The fracture distance affecting the fracture behavior has been measured by cutting test. The ADF model shows a good match with the experimentally determined compression and cutting behaviors of the solid fats, and load–strain curves as a function of plate thickness. This confirms that the ADF model could represent the elastoplastic deformation and fracture behaviors of the solid fats.