A method of high speed bonding at least one material includes applying acoustic energy, using an acoustic horn and an anvil, to the material. The method also includes applying force to at least one of the horn and the anvil to yield a peak pressure between the horn and the anvil of at least 2.068.times.10.sup.7 N/m.sup.2. The acoustic energy and pressure are applied for a time sufficient to create bonds in the material such that the material is sufficiently quenched before reducing the pressure. The method can include applying acoustic energy at an amplitude of vibration selected in combination with the frequency of vibration to yield an acoustic velocity of no greater than 4.72 m/s.