Abstract: Based on the principle of superposition, an explosive contact surface detonation model is used to achieve the rectangular wave loading on a compressible solid material. Via integrating the (u, p) curve for the explosion products and the compressible fluid, the shock pressure and the shock wave loading platform width are obtained with con-sideration of the interference from the sparse wave in explosives and materials at their free edges. Theoretical analysis provides a theoretical foundation for the substantially rectangular wave loading of specimens using the contact explo-sion in the future.