Roll-bond cladded plates Have found extensive industrial applications. Stainless steels, Ni, Cu, and Ti have been usually employed as clad. In multi-piece head manufacturing, delamination may occur during pressing these plates into petals. In this paper, the effective parameters on delamination were investigated. SA 516 GR 70 and SS 316L were respectively selected as the base plate and clad due to their higher applications. First, the strain energy release rate (SERR) was assessed as the main criterion for the definition of delamination and the explanatory parameter using the finite element technique and virtual crack closure technique (VCCT) method. The interface was modeled as a cohesive zone with the tied mesh technique and validated by the experimental results. The response surface methodology (RSM) was employed as a design of experiment method to evaluate the effect of input parameters on the outputs (SERR). The results indicated the greater influence of the head radius on G followed by the thickness of the plate, pressing force, the number of pressing steps, shear strength, and friction coefficient. By enhancing the radius of the head and shear strength, SERR was decreased. The impact of the head radius was much greater than that of shear strength. Finally, some strategies have been proposed to prevent delamination.