Solution

Let, ? = Poisson’s ratio

E = Young’s Modulus,

Loading Direction 1

Transverse Direction 2

No stress normal to the free surface, ?3 = 0

Although the applied stress is uniaxial, the constraint on contraction in direction 2 results in a stress in direction 2.

The strain in direction 2 can be written in terms of Hooke’s Law (ref. Eq. 6-3) as

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