Page 155 - Introduction to Continuum Mechanics
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140 Left Cauchy-Green Deformation Tensor
(c) Sketch both the imdeformed and the deformed position for an element which was in the
r
direction of R e 2. Calculate the stretch from the geometry in the figure and compare it with
#22-
Solution, (a)
(b) From Eq. (3.23.8), we have
Thus,
T
(c) Referring to Fig. 3.13, OE was an element in the direction of R 62- After deformation, it
becomes OE ', which obviously has the same length as OE. Thus, from geometry, the stretch
for this element is unity. This checks with the value of 822 which is also unity.
