Volume changing and volume preserving deformation

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Many materials often show very different behaviors between volume changing deformation and volume-preserving deformation. The former is called dilatation, while the latter is called distortion.

In such a case, it is necessary to separate the dilatational and distortional parts from the deformation gradient.

For example, the deformation gradient can be decomposed into F = Fv · Fd, where Fv is the dilatational part and Fd is the distortional part. Calculate Fv and Fdusing the third invariant of the deformation tensor.

Reference no: EM131303744

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