A fragmentation warhead includes a cylindrical body, a pair of concentric cylindrical liners made of plastic, and an explosive charge disposed within the innermost liner. The innermost liner includes patterns formed thereon of recessed areas and solid liner elements. The outermost liner's interior surface includes patterns formed thereon of raised areas and solid liner elements. The outermost cylindrical liner is arranged to be adjustable relative to the innermost liner through rotation or translation. The explosive charge is disposed adjacent to the interior of the innermost cylindrical liner. Upon detonation of the explosive charge and because of the random dampening and temporal delay in transmitting the detonation energy through various locations of the randomly aligned cylindrical liners, the warhead body is caused to shear and break into fragments with different sizes. It can be understood that adjustment of the outermost cylindrical liner can be used to influence the size of fragments ultimately generated when the warhead breaks apart through detonation.