(a) Consider a W = that is pure expansion: Using Eq. (11.3) show that, in the...

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(a) Consider a W = ∇ξ that is pure expansion: 


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Using Eq. (11.3) show that, in the vicinity of a chosen point, the displacement vector is 


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Draw this displacement vector field.


(b) Similarly, draw ξ(x) for a W that is pure rotation.


(c) Draw ξ(x) for a W that is pure shear. To simplify the drawing, assume that the shear is confined to the x-y plane, and make your drawing for a shear whose only nonzero components are Σxx = −Σyy. Compare your drawing with Fig. 11.3.



Eq.11.3


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Figure 11.3


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