Projectiles or war-heads with an inner arrangement for the formation of bulging zones (4,4a) are proposed, comprised of an enclosed bulging medium (1) which is terminal-ballistically substantially ineffective and is radially enclosed by a penetration material (2) which is terminal-ballistically effective, with the bulging medium (1) having a lower density as compared with the enclosing penetration material (2). This leads to the effect that on impact or on penetrating a target plate (3) the bulging medium (1) remains behind relative to the encompassing terminal-ballistic effective body (2) and is laterally increasingly bulged by the bulging material (1) which continues to flow in from behind. As a result of the high pressures, a conical (crowned) pressure and bulging zone (4,4a) is formed dynamically, which zone radially widens or fragments the passing ambient effective material (5,5a).