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                    Design and Application of Space-Based MEMS                      333


                    operation. These coatings provide a hydrophobic surface on which water cannot
                    condense. Therefore, the most important stiction force by capillary condensation
                    will not occur. 25

                    15.4.3 CREEP
                    Reliability of components due to creep properties of materials is important to
                    structural integrity. Reliability of MEMS devices will greatly be affected by creep
                    of components that operate at high temperatures. The reliability will also suffer
                    when MEMS components are made of materials, which creep at room temperature.
                    Electrothermal microactuators, considered as the driver components for micromo-
                    tors, are examples of structures prone to creep deformation upon actuation. Add-
                    itionally, components made of polymers, such as polyimides, will undergo creep at
                    room temperature. 26  Creep behavior of all materials exposed to thermal cycling,
                    including solders and other attached materials should be reviewed.


                    15.4.4 FATIGUE
                    MEMS are often chosen for their long life and intrinsic strength. High cyclic fatigue
                    failure results tend to be impressive. Results from a research team at Pennsylvania
                    State University provide the most comprehensive, high-cycle, endurance data for
                    designers of polysilicon micromechanical components available to date. These
                    researchers evaluated the long-term durability properties of materials for MEMS.
                    The stress-life cyclic fatigue behavior of a 2-mm thick polycrystalline silicon film
                    was evaluated in laboratory air using an electrostatically actuated notched canti-
                    lever beam resonator. A total of 28 specimens were tested for failure under high-
                    frequency (40 kHz) cyclic loads with lives ranging from about 8 sec to 34 days
                          5           11
                    (3   10 to 1.2   10  cycles) over fully reversed, sinusoidal stress amplitudes
                    varying from 2.0 to 4.0 GPa. The thin-film polycrystalline silicon cantilever beams
                    exhibited a time-delayed failure that was accompanied by a continuous increase in
                    the compliance of the specimen. This apparent cyclic fatigue effect resulted in
                                                 9
                    endurance strength at greater than 10 cycles, similar to 2 GPa, that is, roughly one-
                    half of the (single cycle) fracture strength. Based on experimental and numerical
                    results, the fatigue process is attributed to a novel mechanism involving the
                    environmentally assisted cracking of the surface oxide film (termed reaction-layer
                    fatigue). 27  In silicon, a fatigue-like phenomenon has been observed, but it occurs
                    only at very high stress intensity levels, at which it is hardly a good idea to use
                    brittle materials anyway. On the other hand, sudden fracture due to a short ‘‘over-
                    load’’ condition below the yield strength is likely to destroy brittle materials
                    (containing small flaws), but not tough materials like metals, although the ultimate
                    fracture strength of a metal components of a MEMS structure may well be lower
                    than that of its brittle counterpart. 25  In accelerated life testing analysis, thermal
                    cycling is commonly treated as a low-cycle fatigue problem, using the inverse
                    power law relationship. Coffin and Manson suggested that the number of cycles-
                    to-failure of a metal subjected to thermal cycling is given by: 28





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