= Single-crystal plastic deformation
<Single-crystal plastic deformation> is irreversible shape change of a <single crystal>, often through <dislocation> motion on particular <slip systems>. A slip system specifies a crystallographic plane and a direction within it. Applied loading resolves into a <shear stress> that drives slip, making the response depend on crystal orientation.<Applied Mechanics of Solids by A. F. Bower>[Section3.12, slip systems and resolved shear stress]{ref}
Under uniaxial <stress> $\sigma$, the resolved stress on a slip system is $\tau=\sigma\cos\phi\cos\lambda$, where $\phi$ is the angle between the loading axis and plane normal and $\lambda$ the angle to the slip direction. For compatible $45$-degree angles, $\tau=\sigma/2$. Slip begins when the relevant resistance is reached; subsequent deformation can rotate the lattice and change which systems carry further strain.<Applied Mechanics of Solids by A. F. Bower>[Section3.12.2, tensile loading and lattice rotation]{ref}
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