Hyperelasticity Primer by Robert M. Hackett

Author:Robert M. Hackett
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(8.7)

and we can also write

(8.8)

We should, at this point, consider a numerical example that demonstrates the formulations contained in Equations (8.1) through (8.8).

8.1 Example 8: Relative Deformation Gradient

Given the two-dimensional (for convenience) deformation gradient defined at time t,

(8.9)

then

(8.10)

Let

(8.11)

then, by re-arranging Equation (8.2), we get

(8.12)

and, by re-arranging Equation (8.3),

(8.13)

Then, combining Equations (8.1) and (8.4), we have

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