A cube of
copper 1 cm^ in volume containing a dislocation density of 10^ cm/ cm^ is
plastically compressed in an adiabatic fashion (with no loss of heat). Copper
has a heat capacity of 0.38 J/g-°C and a Burgers vector of 0.25 nm.
a. If the yield
stress of Cu is 0.001 £, what is the elastic strain energy and temperature rise
after elastic deformation?
b. If the
dislocation density rises to 10^^ cm/cm^, what is the plastic strain energy and
temperature increase after plastic deformation?