  There is considerable recent interest in the phenomenon of anisotropic
electroresistivity of correlated metals. While some interesting work has been
done on the iron-based superconducting systems, not much is known for the
cuprate materials. Here we study the anisotropy of elastoresistivity for
cuprates in the normal state. We present theoretical results for the effect of
strain on resistivity, and additionally on the optical weight and local density
of states. We use the recently developed extremely strongly correlated Fermi
liquid theory in two dimensions, which accounts quantitatively for the
unstrained resistivities for three families of single-layer cuprates. The
strained hoppings of a tight-binding model are roughly modeled analogously to
strained transition metals. The strained resistivity for a two-dimensional
$t$-$t'$-$J$ model are then obtained, using the equations developed in recent
work. Our quantitative predictions for these quantities have the prospect of
experimental tests in the near future, for strongly correlated materials such
as the hole-doped and electron-doped high-$T_c$ materials.
