Final answer:
The statement is false; materials typically have higher ductility in the longitudinal direction due to grain structure alignment and residual stresses from rolling.
Step-by-step explanation:
The statement 'True or False? The ductility of a sample transverse to the direction of rolling will be greater than a longitudinal sample' is false. materials typically have higher ductility in the longitudinal direction due to grain structure alignment and residual stresses from rolling.
During the rolling process, materials tend to exhibit anisotropic properties, which means their mechanical characteristics, such as ductility, can vary depending on the direction of the applied force relative to the rolling direction. Typically, materials have higher ductility in the longitudinal direction, that is, the direction of rolling, than in the transverse direction. This is due to the grain structure alignment and residual stresses induced during the rolling process.