Timeline for Elasticity tensor in terms of principal stretches
Current License: CC BY-SA 4.0
3 events
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| Feb 7, 2020 at 15:28 | comment | added | Willie Wong | In the paper you cite there are only two principle stretches, and so their squares solve the characteristic equation for the square $F^* F$ (which is two-by-two). So in particular you can use the quadratic equation to write down $\lambda_*$ as algebraic expressions in terms of $F$ and find the derivatives directly. (This is the equation 6.2 in that paper) // In the $3\times 3$ case I guess you can try using the cubic formula.... | |
| Feb 7, 2020 at 15:22 | comment | added | Willie Wong | Isn't this, by the chain rule, mainly an issue of computing $\partial \lambda_* / \partial F$? | |
| Feb 7, 2020 at 2:38 | history | asked | msaBU | CC BY-SA 4.0 |