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)
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