A hose assembly with reduced axial stress including an underlying hose, such as a composite hose, and one or more elongate matrices extending over a portion of the hose along an axis of vibration. The elongate matrices can be an extruded, molded, or braided matrix formed of engineered fibers, metallic materials, and/or elastomeric materials formulated to impart a desired amount of rigidity along an axis of vibration to which it is applied. The elongate matrix can be a composite matrix including one or more rigid members, such as wire rods, embedded in an elastomeric matrix which is chemically and/or mechanically coupled to the underlying hose.