Question

In: Civil Engineering

a) Consider a plane strain formulation. Show that the plain strain problem satisfies the following equation:...

a) Consider a plane strain formulation. Show that the plain strain problem satisfies the
following equation:

??(?? + ??) = −?/? − ? (???/?? + ???/??)

b) Consider a plane stress formulation. Show that the plain stress problem satisfies the
following equation:

??(?? + ??) = −(? + ?) (???/?? + ???/??)

(Hint: You may use the equations given below
?????? ∶ ??? = ??,? + ??,?
??????: ??? = 2???? + ???????
?????? ???????????: ???,? + ?? = 0
All the terms have their original meanings)

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