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Ultrasonic Bonding Systems and Technologies       27


                 6                            6
                      Aluminum                     Aluminum
                                       18°C                       18°C
                 5                  2         5
                Stress (kg/mm 2 )  4  18 W/cm  18°C  4             200°C

                 3
                                              3
                 2
                             35 W/cm 2        2               400°C
                 1                   18°C     1
                             50 W/cm 2
                                       18°C                       600°C
                 0                            0
                     20      60      100          20      60      100
                                     Elongation (%)

              FIGURE 2-15  Stress versus elongation for Al single crystals. The left curve
              indicates strain (elongation) during irradiation at 20 kHz ultrasonic energy
              (dashed lines). The right-hand curves show comparable stress-strain behavior
              resulting from heating alone. The solid curves indicate no applied ultrasonic
              energy only the indicated temperature (from Langenecker [2-23]) (© IEEE).
              (The author notes that this work has not been duplicated with modern
              measurement equipment/techniques, and although believed to be correct, it
              should be verifi ed, a good university thesis subject.)



              15 kHz to 1 MHz, with most of his work being done at 20 kHz. He has
              compared the similarity of the stress versus elongation in Al single
              crystals (with 20 kHz ultrasonic energy at constant temperature) to
              equivalent elongations resulting from heat. His results are repro-
              duced in Fig. 2-15. It should be noted that Langenecker did not study
              or even consider ultrasonic bonding or welding, only the ultrasonic
              softening of metals, metal forming, and heating. However, the ultra-
              sonic softening process that he described has been incorporated into
              several explanations of the bonding process [2-1, 2-9, 2-21]. The stress
              versus elongation is essentially equivalent to deformation under a
              compressive load, such as occurs in metal forming and ultrasonic
              welding. From this, it is clear that either ultrasound or heat can inde-
              pendently cause equivalent deformations with a given stress. How-
              ever, significant differences exist between the two types of excitation,
              the major one being that the ultrasonic energy density required to
              produce deformation in  Al is about 10 million times less than is
              required for an equivalent deformation resulting from thermal energy
              alone, although some heating is a by-product of any such US process.
              After US softening and deformation of the weldments occur, and the
              US energy is removed, the metals are left work-hardened (acoustic
              hardening), whereas equivalent thermal deformations leave the metal
              permanently softer (annealed). Such work hardening in Al ultrasonic
              wedge bonds has been experimentally verified by Coucoulas [2-24]
              and on bonded Au balls by Pantaleon [2-25] and recently by Srikanth
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