A method for explosive cutting using converging shockwaves, and an explosive cutting device are disclosed. The method includes providing a projectile with an explosive charge, positioning the projectile over the object so it extends along an intended line of cut, and detonating the explosive charge so that the projectile is accelerated toward the object, wherein the projectile either impacts on the object and the projectile includes a wave-shaping element which is shaped such that the impact generates converging shockwaves in the underlying object to be cut causing a crack to be propagated through the object along the intended line of cut; or impacts on a wave-shaping element in contact with the object, the wave-shaping element being shaped such that the impact generates converging shockwaves in the underlying object causing a crack to be propagated through the object along the intended line of cut.