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Now consider the following situation in which a cube is extended along the three axes so that we have the following extension ratios:
and |
(23.4) |
What can we say about the uniqueness of the pressure, or, can it be uniquely defined? Let us say, for simplicity that . The we can think about the following two equations, at their intersections lie the solution of .
Needless to say that will intersect at and . Furthermore, when, , and when , . Hence, the curve look like the one plotted in figure.
Since is positive, the line will lie beneath the line, so that curve intersect either at one location or at three locations and . The figure shows that one of the solutions, for example should be less than , whereas, other two solutions and should be between and . Then from equation (23.4)
and |
is real and and are complex numbers. Therefore, it is obvious that there is only solution possible for .
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