Computer simulation is carried out for microphase-separated diblock co
polymers under applied shear deformation. A mesophase of hexagonally o
rdered cylindrical domains is considered, and shear strains are applie
d perpendicular to the cylinder axes. Rheological responses and struct
ural changes of the system under oscillatory and step-shear strains ar
e studied by,using a cell dynamic approach. For small strains, the usu
al behavior of ordered viscoelastic solids is seen, while for large st
rains, anomalous behavior is observed, including (i) in the case of os
cillatory shears, a nonlinear stress response which is out of phase wi
th the applied strain in the low frequency limit and (ii) in the case
of step-shear, a double stress relaxation process in which the stress
first approaches a pseudoequilibrium value and then much later relaxes
further toward the final equilibrium value. This anomalous behavior i
s shown to be due to the slippage of lattice planes.