NPR (negative Poisson's ratio) components for vehicle and other applications generally assume a tubular structure defining an axis, a length and a cross section. The structure is composed of a plurality of nested, double-V unit cells, each unit cell comprising a pair of side points A and B defining a width, a first pair of tensile members interconnecting points A and B and intersecting at a point C forming a first V shape, a second pair of stuffer members interconnecting points A and B and intersecting at a point D forming a second V shape. The unit cells are connected in a first direction with the point B of one cell being connected to point A of an adjoining cell, and so on, until completing a continuous band. The unit cells are further connected in a second direction with the point D of one cell being connected to point C of an adjoining cell. In one embodiment, the bands are stacked radially outwardly from the axis to form a bushing. In accordance with a second embodiment, the bands are stacked lengthwise along the structure to form a joust bumper.