3 19 A Body Is Composed Of Hyperelastic Material With A Strain Energy Density Function Of The Form W C 11 1 2 4 1 (9.33 KiB) Viewed 48 times
3.19 A body is composed of hyperelastic material with a strain-energy density function of the form W = c(11 + 1-2 – 4),
where c = 20 Pa. The deformation gradient tensor at a point in a body is = F = 1.5 eje +2 e2e2 +0.5e,e2 + ezez. (a) Compute the first Piola-Kirchhoff stress vector on a plane that passes through this point and is normal to the vector B = ei - 22 +2e3 in the undeformed body. (b) During deformation, the vector B is transformed into the vector b. Compute the Cauchy stress vector on a plane that passes through the same point and is normal to b.
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