The model of Alessandro, Beatrice, Bertotti, and Montorsi [J. Appl. Phys.68, 2901 (1990)] is used to derive the Barkhausen noise power integrated over all frequencies. Using the magnetomechanical hysteresis model of Sablik and Jiles [IEEE Trans. Magn.29, 2113 (1993)], it is then shown how the Barkhausen noise power peaks at a magnetic fieldHlarger than theHvalue at which the magnetic permeability peaks. Variation with respect to applied stress and with respect to field ramp rateH˙ is also investigated. The almost linear increase of Barkhausen amplitude with applied stress seen experimentally is confirmed by the model.