Page 163 - Introduction to Continuum Mechanics

148 Change of Volume due to Deformation

Thus,

Since det F is a constant, from the equation

we have, with AF 0 = 1,

Fig. 3.14

(b) Using Eq. (3.28.6), with A/4 0 = 1, and n 0 = -e 3 , we have

i.e.,