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| Using material coordinators, deformation has two senses: distance variation and area variation. Starting from the geometrical invariant quantities in tensor theory, the macro deformation is described by the distance base vector transformation and the area base vector transformation. For pure elastic deformation, the area base vector transformation is the inverse of the distance base vector transformation. Only in this special case, the deformation is equivalent with coordinator transformation. For arbitral deformation, the area base vector transformation is plastic volume variation dependent and the distance base vector transformation is the deformation gradient. Therefore, for large deformation problem, two deformation tensors should be introduced. Some remarks are made for related theoretic results which are viewed as widely accepted. |
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| Keywords:base vector, tensor, deformation, transformation, material coordinators |
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