Mechanics of Soft Materials by Konstantin Volokh

Author:Konstantin Volokh
Language: eng
Format: epub, pdf
Publisher: Springer Singapore, Singapore

(5.13)

where

(5.14)

is not a unit vector.

Invariants are analogous to while invariant is related to both characteristic directions. We note that the latter invariant changes sign when or is reversed. The latter issue should be taken into account in the strain energy expression. It is possible, for example, to use instead of . Some authors suggest using instead of . The drawback of the latter proposal is that vanishes for the orthogonal vectors.

Differentiating the new invariants with respect to we get

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