This paper begins with experiments to investigate the behind-target damage effects on sandwich-like plates subjected to reactive liner shaped charge jet. Sandwich-like plates, consisting of triple spaced aluminum plates filled with flame-retardant foams, are placed under a steel target. The reactive liner shaped charge is initiated at a stand-off of 1.0 CD, producing a reactive jet to perforate the steel target and then cause behind-target damage effects on sandwich-like plates. The experimental results show there is an unusual rupturing effect on sandwich-like plates, which strongly depends upon the steel target thickness. Generally, the rupturing effects on sandwich-like plates increase gradually with the steel target thickness decreasing from 60 mm to 40 mm. Then, the interaction mechanism between the reactive jet and target is discussed in three phases. The formation phase shows an expansion behavior of reactive jet, leading to the jet density less than the initial density. The penetration phase results in central holes on aluminum plates and provides a precondition for cracks. Then, the deflagration reaction phase causes a field of high temperature and high pressure inside the sandwich-like plates, which enlarges the kinetic energy-induced pre-perforations and thereby causes the unusual rupturing effects. Finally, an analytical model for the rupturing damage to aluminum plate is developed and the relevant parameter is obtained approximately.