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3.4 Linear and Planar Defects 3.4.1 Dislocations -Linear Defects Dislocations* are line imperfections in an otherwise perfect lattice. We can identify two types of dislocations - the screw dislocation* and the edge dislocation*. The screw dislocation (Figure 13) can be illustrated by cutting partway through a perfect crystal, then skewing the crystal one atom spacing. Figure 13 Screw dislocation If we were to follow a crystallographic plane one revolution around the axis on which the crystal was skewed, traveling equal atom spacings in each direction, we would finish one atom spacing below 13 point. [l] The vector required to complete the loop and return us to our starting point is the Burgers vector* b. If we continued our rotation, we would trace out a spiral path. The axis, or line, around which we trace out this path is the screw dislocation. We see that the Burgers vector is parallel to the screw dislocation. An edge dislocation (Figure 14) can be illustrated by slicing partway through a perfect crystal, spreading the crystal apart, and partly filling the cut with an extra plane of atoms. The bottom edge of the inserted plane represents the edge dislocation. If we describe a clockwise loop around the edge dislocation by going an equal number of atom spacings in each direction, we would finish one atom spacing from our starting point. The vector that is required to complete the loop is again the Burgers vector. In this case, the Burgers vector is perpendicular to the edge dislocation. Figure 14 Edge dislocation 3.4.2 Surface Defects Surface defects are the boundaries that separate a material into regions, each region having the same crystal stmcture but different orientations. Grain Boundaries The microstructure of metals and many other solid materials consists of many grains. A grain is a portion of the material within which the arranement, or crystal structure, is different for each adjoining grain. A grain boundary* is the surface that separates the individual grains and is a narrow zone in which the atoms are not properly spaced. A grain boundary is represented schematically from an atomic perspective in Figure 15. Within the grain boundary region, which is probably just several atom distances wide, there is some atomic mismatch in a transition from the crystalline orientation of one grain to that of an adjacent one.[2] Figure 15 Grain boundaries Figure 16 Small-angle grain boundary Various degrees of crystallographic misalignment between adjacent grains are possible. When 14 this orientation mismatch is slight, on the order of a few degrees , then the term small- ( or low - ) angle grain boundary * is used. These boundaries can be described in terms of dislocation arrays. One simple small-angle grain boundary is formed when edge dislocations are aligned in the manner of Figure 16. This type is called a tilt boundary.* Twin Boundaries* A twin boundary is a plane across which there is a special mirror image misofientation of the lattice structure (Figure 17). Twins can be produced when a shear force, acting along the twin boundary, causes the atoms to shift out of position. Twinning occurs during deformation or heat treatment of certain metals. The twin boundaries increase the strength of the metal. Figure 17 Twin boundary Key words: dislocation [ λ´í ] screw dislocation [ÂÝÐÎλ´í] edge dislocation [ÈÐÐÎλ´í] Burgers vector [°ØÊÏʸÁ¿] spiral [ ÂÝÐýÐ뵀 ] grain boundary [¾§½ç] small- (or low-) angle boundary [С½Ç¶È¾§½ç] tilt boundary [Çã²à¾§½ç] twin boundary [ÂϾ§½ç] Questions: 1) Is the Burgers vector perpendicular to the screw dislocation? 2) What is a twin boundary? 3.5 Non-crystalline* Materials Non-crystalline solids lack a systematic and regular arranagement of atoms over relatively large atomic distances. Sometimes such materials are also called amorphous, or supercooled liquids, inasmuch as their atomic structure resembles that of a liquid. An amorphous condition may be illustrated by comparison of the crystalline and non-crystalline structures of the ceramic compound silicon dioxide (SiO2), which mayexist in both states. Figure 18 (a) and (b) present two-dimensional schematic diagrams for both structures of SiO2, in which the SiO4 4- tetrahedron is the basic unit. Even though each silicon ion bonds to four oxygen ions for both states, beyond this, the structure is much more disordered and irregular for the non-crystalline structure. Whether a crystalline or amorphous solid forms depends on the ease with which a random atomic structure in the liquid can transform to an ordered state during solidification. [1] Amorphous materials, therefore are characterized by atomic or molecular structures that are relatively complex and become ordered only with some difficulty. Furthermore, rapidly cooling through the freezing temperature favors the formation of a 15 non-crystalline solid, since little time is allowed for the ordering process. Metals normally form crystaUine solids; but some ceramic materials are crystalline, whereas others are amorphous. Polymers may be completely non-crystalline and semi-crystalline consisting of varying degrees of crystallinity*. (a) Crystalline silicon dioxide (b) Non-crystalline silicon dioxide Figure 18 Two-dimensional schemes of the structure of silicon dioxide Key words: non-crystalline[ ·Ç¾§µÄ] crystallinity [ ½á¾§¶È] 3. 6 Microstructure When describing the structure of a material, we make a clear distinction between its crystal structure and its microstructure. The term "crystal structure" is used to describe the average positions of atoms within the unit cell, and is completely specified by the lattice type and the fractional * coordinates of the atoms. [1] In other words, the crystal structure describes the appearance of the material on an atomic length scale. The term "microstmcture" is used to describe the appearance of the material on the nm-cm length scale. A reasonable working definition of microstmcture is "the arrangement of phases and defects with a material." Many times, the physical properties and, in particular, the mechanical behavior of a material depend on the microstmcture. Microstmcmre is subject to direct microscopic observation, using optical or electron microscopes. In many alloys, microstmcture is characterized by the number of phases present, their proportions, and the manner in which they are distributed or arranged. The microstmcture of an alloy depends on such variables as the alloying elements present, their concentration, and the heat treatment of the alloy. 3.6.1 Phase Diagrams* Much of the information about the control of microstrucmre or phase structure of a particular alloy system is conveniently and concisely displayed in what is called a phase diagram, also often termed an equilibrum or constitutional diagram. Many microstrucmres develop from phase transformation, the changes that accur between phases when the temperature is altered (ordinarily upon cooling). This may involve the transition from one phase to another, or the apace or disappearance of a phase. Phase diagrams are helpful in predicting phase transformations and the resulting microstmctures, which may have equilibrium or nonequilibrium character. |
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