In: Civil Engineering
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)