Sleeve buffer (1, 21, 31) for mobile or fixed support structures (5, 25, 35), in particular of rail vehicles, - having a first and a second guide part in the form of a sleeve (3, 23, 33) and a tappet (2, 22, 32); - wherein the sleeve (3, 23, 33) is able to be fastened so as to be stationary on the support structure (5, 25, 35), and the tappet (2, 22, 32) is displaceable relative to the sleeve (3, 23, 33) in the vehicle longitudinal direction and in the displacement movement thereof is received by the sleeve (3, 23, 33); - wherein a first and a second guide part (2, 22, 32; 3, 23, 33) are configured in such a way that they are telescopically displaceable in one another; and - having a force transmission member (9, 29, 39) for resiliently coupling the tappet (2, 22, 32) to the support structure (5, 25, 35); - wherein in particular at least one of the two guide parts (2, 22, 32; 3, 23, 33) is composed of at least two elongate portions (2, 22, 32; 8, 28, 38) which are disposed behind one another and in the region of their adjacent end sides are in each case interconnected by one or a plurality of predetermined breaking connection or connections and have dissimilar cross-sectional dimensions in such a manner that the predetermined breaking connection or connections is/are torn off and the elongate portions (2, 22, 32; 8, 28, 38) telescopically slide in one another when a specific impact force (triggering force) acting on the sleeve buffer (1, 21, 31) is exceeded; - wherein provided is a structure (2a, 6, 7, 11, 27, 37) which forms a mechanical resistance so as to decelerate the telescopic movement during one of the telescopic movements of the guide parts (2, 22, 32; 3, 23, 33) and/or of the elongate portions (2, 22, 32; 8, 28, 38); - characterized in that a subtractive tool is disposed on a ring that covers the tappet towards the support structure, so as to machine, or optionally shear off, a pin which is disposed on the sleeve when the triggering force is exceeded, wherein the sleeve is in each case configured so as to be thicker in a region that follows the pin towards the support structure in the shearing direction, such that the tool, after severing or shearing off the pin, cuts into the material of the sleeve in the region so as to consume energy as from this point in time; or - in that a subtractive tool is disposed on the inner shell face of the tappet so as to, besides rupturing of the predetermined breaking connections, when the triggering force is exceeded, subtractively machine an extension sleeve which as an elongate portion by means of predetermined breaking connections is likewise connected to the tappet on the inner shell face of the latter and points away therefrom in the direction of the support structure, and in this way to cause a consumption of energy. - having a first and a second guide part in the form of a sleeve (3, 23, 33) and a tappet (2, 22, 32); - wherein the sleeve (3, 23, 33) is able to be fastened so as to be stationary on the support structure (5, 25, 35), and the tappet (2, 22, 32) is displaceable relative to the sleeve (3, 23, 33) in the vehicle longitudinal direction and in the displacement movement thereof is received by the sleeve (3, 23, 33); - wherein a first and a second guide part (2, 22, 32; 3, 23, 33) are configured in such a way that they are telescopically displaceable in one another; and - having a force transmission member (9, 29, 39) for resiliently coupling the tappet (2, 22, 32) to the support structure (5, 25, 35); - wherein in particular at least one of the two guide parts (2, 22, 32; 3, 23, 33) is composed of at least two elongate portions (2, 22, 32; 8, 28, 38) which are disposed behind one another and in the region of their adjacent end sides are in each case interconnected by one or a plurality of predetermined breaking connection or connections and have dissimilar cross-sectional dimensions in such a manner that the predetermined breaking connection or connections is/are torn off and the elongate portions (2, 22, 32; 8, 28, 38) telescopically slide in one another when a specific impact force (triggering force) acting on the sleeve buffer (1, 21, 31) is exceeded; - wherein provided is a structure (2a, 6, 7, 11, 27, 37) which forms a mechanical resistance so as to decelerate the telescopic movement during one of the telescopic movements of the guide parts (2, 22, 32; 3, 23, 33) and/or of the elongate portions (2, 22, 32; 8, 28, 38); - characterized in that a subtractive tool is disposed on a ring that covers the tappet towards the support structure, so as to machine, or optionally shear off, a pin which is disposed on the sleeve when the triggering force is exceeded, wherein the sleeve is in each case configured so as to be thicker in a region that follows the pin towards the support structure in the shearing direction, such that the tool, after severing or shearing off the pin, cuts into the material of the sleeve in the region so as to consume energy as from this point in time; or - in that a subtractive tool is disposed on the inner shell face of the tappet so as to, besides rupturing of the predetermined breaking connections, when the triggering force is exceeded, subtractively machine an extension sleeve which as an elongate portion by means of predetermined breaking connections is likewise connected to the tappet on the inner shell face of the latter and points away therefrom in the direction of the support structure, and in this way to cause a consumption of energy.