Hints 1: Index notationEdit
Index notation:
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If
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Dummy indices are replaceable.
Hint 2: Index notationEditHint 3: Index notationEdit
Index notation:
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From the definition of dyadic product, we can show
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Contraction gives:
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Hint 4: Tensor productEdit
Index notation:
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Definition of dyadics products:
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We can show that
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Contraction gives:
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Hint 5 : Tensor productEdit
Tensor Product of two tensors:
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Tensor product:
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Hint 6: Vector transformationsEdit
Change of basis: Vector transformation rule
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are the direction cosines.
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In matrix form
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Other common form: Vector transformation rule
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In matrix form
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Hint 7: Tensor transformationsEdit
Change of basis: Tensor transformation rule
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where are the direction cosines.
In matrix form,
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Other common form
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In matrix form,
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