Page 158 - Introduction to Continuum Mechanics
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Kinematics of a Continuum 143
or,
Thus, (dropping the subscript x from V x u)
and
In component form, Eq. (3.26.12a) is
and in long form,
The other components can be similarly written down. We note that for infinitesimal defor-
mation, Eq. (3.26.12) reduces to Eq. (3.7.10a).
Example 3.26.1
For the simple shear deformation
1
(a) Find B" and e*.
(b) Use the geometry in Fig. 3.13 to discuss the meaning of e^ and 622-
Solution, (a)