This disclosure relates to a valve assembly for a motor vehicle, such as a pressure relief valve, and a method of using the same. The valve assembly includes a flap moveable to between an open position and a closed position. The valve assembly further includes a pair of shape memory-alloy (SMA) wires configured to move the flap between the open and closed positions. Specifically, the valve includes a first shape-memory alloy wire configured to rebound to a first rebound shape to urge the flap to the open position, and a second shape-memory alloy wire configured to rebound to a second rebound shape to urge the flap to the closed position.