A brake device for a vehicle with at least one wheel, wherein the wheel defines a rotational axis, with a brake body device for the transmission of a brake force to the wheel, with a concentric brake cylinder for the generation of the brake force. The brake cylinder has an inner housing part for radial support on a wheel axle of the wheel and an outer housing part for axial support on the brake body device. The two housing parts can be moved relative to one another, and a pressure chamber which runs around the rotational axis is formed between the two housing parts. The brake device has an insulation device for the thermal insulation of the brake body device in the direction of the brake cylinder. The insulation device is arranged at least axially between the outer housing part and the brake body device.