Step 1: Think about what fractography, reading a broken surface, can tell an engineer.
Different ways of failing leave visibly different fingerprints on the fracture surface, a tensile overload, a shear failure, and a fatigue failure all look distinct under the naked eye or a low power microscope.
Step 2: Understand how beach marks physically form.
Fatigue failures grow slowly, crack by crack, cycle by cycle, often over months or years of fluctuating load. Whenever the loading pauses or changes, for example the machine is switched off overnight, the crack front leaves behind a faint ring, and thousands of these rings build up into visible concentric arcs that radiate out from the point where the crack first started, resembling ripples on a beach.
Step 3: Rule out the alternatives.
Impact failures usually show cleavage facets or dimples, tensile failures in ductile metals give the familiar cup and cone shape, and shear failures show smeared, sliding surfaces, none of these produce the characteristic concentric ring pattern, which is uniquely tied to the slow, cyclic nature of fatigue.
\[ \boxed{\text{Fatigue failure}} \]