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The evidence of slip is seen on metallurgically prepared samples as slip lines when examined under a microscope The slip lines are the intersection of the crystallographic planes along which slip occurred with the etched surface of the specimen Slip results in a narrow band on either side of the slip plane within which the lattice structure is severely distorted These slip lines do not appear on the face of a specimen that is metallurgically polished after slip occurs; they appear only after etching with a suitable chemical reagent that dissolves the metal being studied The slip lines become visible for the same reason that grain boundaries are visible after etching: The internal energy of the material within the distorted area is considerably higher than that of the material within the rest of the crystal.

The metal in the higher energy level dissolves into the reagent much more rapidly than the rest of the crystal, leaving a narrow groove where the severely distorted band intersects the surface Slip lines can also be seen on specimens that are polished prior to being plastically deformed and that have not been etched..

Although the specific mechanical properties of real materials are discussed in detail in the material that follows, it is very appropriate at this time to relate the concepts of the strengthening mechanisms to the previously described crystalline structures. Mechanical properties can best be studied on the basis of three precepts which encompass all the strengthening mechanisms. These three principles are stated here because they involve the distortion of the lattice structure that has just been discussed.

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This vertex type has now two sets of texture coordinates, one for each texture. That way, you can index them independently of each other.

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32.6.1 Principles of Mechanical Strength Strength can be defined as a material s ability to resist slip. Thus it follows that the first principle of mechanical strength is this: A material is strengthened when slip is made more difficult to initiate. Therefore, to make a material stronger, it must be given a treatment that retards the avalanche of dislocations or, in other words, pegs the slip planes. The second principle of mechanical strength is this: Slip is retarded by inducing mechanical strains, or distortions, in the lattice structure of the material. These distortions were discussed previously as lattice imperfections or defects. Thus it is a paradox that the source of strength in real polycrystalline materials is crystal imperfections or crystal defects. The third principle of mechanical strength is this: There are four methods to induce mechanical strains or lattice distortions in a material, namely, decreasing the grain size, low-temperature plastic deformation (cold work), single-phase alloying, and multiple-phase alloying.

3262 Grain Size Local distortion of the lattice structure at the grain boundaries induces substantial strain energy in those regions This distortion impedes slip, or causes the dislocations to pile up, and consequently, the grain-boundary material is stronger than the material at the central portions of the crystal This is true for most metals at room temperature However, as additional energy is added to a polycrystalline material by raising the temperature, the grain-boundary material softens (and also melts) sooner or at a lower temperature than the bulk of the grainAt some temperature, called the equicohesive temperature, the strengths at these two regions are equal Above the equicohesive temperature, the grain-boundary material is the weaker of the two This explains why materials that are used at elevated temperatures have higher creep strengths when their grains are coarse rather than fine.

The surface-area-to-volume ratio of a sphere is inversely proportional to its diameter Therefore, as the diameter of a sphere decreases, its ratio of surface area to volume increasesThis means that for a given weight or volume of a polycrystalline solid, the total grain-boundary surface increases as the grain size decreases Since the grainboundary material is stronger than the interior material, the strength also varies inversely with the grain sizeAlso, since the surface area of a sphere is proportional to the square of its diameter, it can be assumed as a first approximation that the yield strength is proportional to the reciprocal of the square of the grain diameter Figure 3212a shows how the 02 percent offset yield strength of 70Cu-30Zn brass varies with grain size In this case, the yield strength increases by a factor of 4 with a grain diameter ratio of 24.

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