Page 272 - An Introduction to Microelectromechanical Systems Engineering
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Quality Control, Reliability, and Failure Analysis                            251

                  their new and innovative MEMS product ideas had to face these types of reliability
                  questions as they transitioned from a prototyping phase to a manufacturing phase.
                  Analog Devices, Inc., invested tremendous time and resources to resolve the stiction
                  problem that plagued their early accelerometer designs. The following are major
                  observed failure modes that span both design and process control.

                  Cracks and Fractures
                  Cracks can occur in a number of locations in a microstructure and are the result of
                  a large stress that exceeds the fracture stress of the material or fatigue [35]. Observ-
                  ing and diagnosing a large fracture is readily achieved under an optical or scanning
                  electron microscope. Acoustic imaging is occasionally used, but its utility is limited
                  to detecting large embedded defects. However, hairline fractures can seldom be
                  seen. Instead, their existence is indirectly detected by measuring their effect on a
                  number of other parameters (e.g., by looking for anomalies in the frequency
                  response of a mechanical element). Often, a mechanical shock is the causing event
                  of fracture [36]. Naturally, the mass of the micromechanical structure must be rela-
                  tively large for the shock to pose any real risk. For instance, a 10-µm thick, 1 mm 2
                  membrane in a pressure sensor has very little mass (24 µg) and can sustain shocks
                  up to 100,000G [37]!
                      A mechanical shock can originate from several sources. It can be intentional, as
                  is the case for accelerometers or during the reliability testing of the product, or acci-
                  dental (e.g., from the saw during wafer dicing or rough handling during packaging).
                  A mechanical shock has a typical duration of tens to hundreds of microseconds,
                  which greatly exceeds the acoustic transit time defined as the time it takes an acoustic
                  wave to travel through the longest dimension of the micromechanical structure (typi-
                  cally on the order of a few microseconds). Therefore, the micromechanical structure
                  behaves as if the shock is static and wave analysis is not necessary [38]. This is not the
                  case with ultrasonic pulses. Such short pulses (of duration ≤1 µs) are common in
                  ultrasonic cleaning, wire bonding during packaging, or in micromachined resonators
                  that specifically utilize ultrasound in their operation. Waves will reflect back at geo-
                  metrical discontinuities and material boundaries due to mismatches in acoustic
                  impedances, causing standing waves and local amplification of stresses possibly
                  beyond the fracture stress. In such situations, a complete wave analysis using
                  computer-aided modeling is useful to identify the fragile boundaries.
                      Under shock, the displacement of a freestanding micromechanical structure
                  may exceed its maximum allowed design limit, thus causing excessive stress at
                  one or more particular locations (often corners) and consequently failure. Good
                  mechanical designs take such shocks into account. For example, some well-designed
                  accelerometers have travel limiters for the inertial mass (see Chapter 4) in order to
                  minimize the stress on the supporting spring in the presence of a large shock. Sharp
                  corners are also responsible for fracture under even small shocks because they con-
                  centrate mechanical stress. Designers have learned to round the profile of corners to
                  reduce this risk of failure. For example, the corner formed by the intersection of the
                  {111} planes of the thick frame and the thin membrane of a pressure sensor (see
                  Chapter 4) is characteristically sharp, and virtually all manufacturers of modern
                  commercial pressure sensors perform some type of corner rounding. While knowl-
                  edge about such failure modes is now common, details of the corresponding
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