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- W3100866901 abstract "The overall plan of Chapters 13 through 16 is shown in the introductory figure of Part III. As the figure suggests, the objective of this chapter can be stated in three ways: (i) to extend ideas from Chapter 15 to a situation where an interface is present, or (ii) to extend ideas from Chapter 13 to a situation where the material envisaged is of variable composition, or (iii) to combine the main ideas from Chapter 14 and 15 with the main ideas from Chapter 13. The program of the present chapter is to do a little of (i) and then a little of (ii), before attempting a total union. By way of preview, it is to be noted that an interface may move with respect to the material on either side or, in other words, material may change phase, crossing the interface as it does so. Situations with a moving interface are more complicated than situations where the interface is stationary. In both part (i) and part (ii) of this chapter, the fact that the interface moves is recognized but disregarded. The reason is that in part (iii), a particular combination of circumstances is examined that leads to no movement of the interface. Such a combination is highly special and not likely to be met in the real world, but it shows particularly clearly how chemical change and a material's deformation interact. The overall program then is to lead up to discussion of this stationary-interface state. Chapters 14 and 15 emphasize spatial variations of a harmonic kind, continuing through space at constant amplitude to an unlimited extent. The essential difference in this chapter is that here we treat effects that have maximum intensity at or close to an interface, and die away to insignificance in the remote interiors of the two touching phases. Exponential functions were found useful to describe an effect of this type in Chapter 13, and it is natural to seek a physical situation where they can be used again; the first step is to distinguish the two types of behavior in Figure 16.1." @default.
- W3100866901 created "2020-11-23" @default.
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- W3100866901 date "1993-12-02" @default.
- W3100866901 modified "2023-10-14" @default.
- W3100866901 title "Two Phases and Two Components" @default.
- W3100866901 doi "https://doi.org/10.1093/oso/9780195067644.003.0023" @default.
- W3100866901 hasPublicationYear "1993" @default.
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