Page 215 - Fiber Fracture
P. 215

200                                                            H.U. Kunzi

                Table 3. Whiskers compared to bulk metals (Brenner, 1958a)
                Metal   Whisker                                 Bulk metal
                       Axis   Diameter   Max. tensile   Max. shear   Tensile   Crit. shear
                             (wm)     strength (MPa)   strength (MPa)   strength (MPa)   strength (MPa)
                ~        ~
                Fe     [Ill]   1.6     13,150      3,570         160-250     44
                cu     [111]   1.25    2,950         804         130-350      1
                Ag     [IOO]   3.8     1,730         706         80-160       0.60



                INTRINSIC STRENGTH AND FAILURE BEHAVIOR

                  In this  section we  will  look  at the intrinsic strength of  metallic filaments that are
                free from macroscopic defects. Whiskers show an almost ideal mechanical behavior,
                Similarly, fibers of  amorphous metals show a very high intrinsic tensile strength. Real
                wires manifest properties that depend on their microstructure. Polycrystalline wires, for
                instance, in their as-drawn state are for many applications much too hard and brittle.
                Subsequent annealing allows to modify and stabilize their mechanical behavior and to
                meet the desired properties.

                Ideal Behavior of Metallic Whiskers

                  Whiskers are filamentary single crystals of high purity with diameters usually well
                below  10 pm. They are grown under controlled conditions that allow the formation of
                a highly ordered crystal structure (Brenner, 1956a,b, 1958a). Besides metals, various
                other materials, including oxides, nitrides and carbides are known to form whiskers. The
                almost total absence of even the elementary crystal defects, such as voids, dislocations
                and  grain  boundaries  as  well  as  the  atomically  smooth  surface, gives  them  tensile
                strength properties that are far above most other current reinforcement fibers. Table 3
                gives a comparison between the high tensile strength and shear strength values observed
                in  Fe,  Cu  and Ag  whiskers and  the  corresponding values for bulk  metals (Brenner,
                1958a). Accordingly, the  best  tensile strength observed for Fe  whiskers is  about 60
                times higher than in the corresponding bulk metal.
                   Since whiskers have high  tensile strengths they  are  also capable  of  withstanding
                exceptionally large  elastic  strains.  Metallic  and  even  some  oxide  whiskers  support
                strains  of  2  to  5%  before  fracture  or  yield  occurs.  Towards the  higher  strains the
                stress-strain  behavior is often nonlinear and substantial deviations from Hooke’s law
                are observed. The stress-strain  curves are similar to the one shown in Fig. 45 for the
                amorphous iron alloy fiber. At the highest strain some stress relaxation may also occur,
                giving rise to an irreversible residual deformation.
                   When  whiskers  exceed  the  elastic  limit  they  behave  in  one  of  three  ways:  (1)
                they fracture by  a cleavage; (2) they show an important but  strongly localized plastic
                deformation; (3) they creep. Very thin copper and iron whiskers with high elastic limits
                fracture in a more or less brittle manner as is the case for materials that are normally
                brittle. The sudden release of large amounts of elastically stored energy produces high
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