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Symmetry with respect to two Orthogonal Planes:
Let us assume that the material under consideration has one more plane, say x2-x3 is plane of material symmetry along with x1-x2 as in (A). These two planes are orthogonal to each other. This transformation is shown in Figure 3.3.
This can be mathematically formulated by the change of axes as
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(3.22) |
And
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(3.23) |
This gives us the required strain relations as (from Equation (3.12)).
or using contracted notations, we can write,
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(3.24) |
Figure 3.3: Material symmetry about x1-x2 andx2-x3 planes |
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