Cycloidal patterns are widely distributed on the surface of Jupiter's moon
Europa. Tensile cracks may have developed such a pattern in response to diu
rnal variations in tidal stress in Europa's outer ice shell. When the tensi
le strength of the ice is reached, a crack may occur. Propagating cracks wo
uld move across an ever-changing stress field, following a curving path to
a place and time where the tensile stress was insufficient to continue the
propagation. A few hours Later, when the stress at the end of the crack aga
in exceeded the strength, propagation would continue in a new direction. Th
us, one arcuate segment of the cycloidal chain would be produced during eac
h day on Europa. For this model to work, the tensile strength of Europa's i
ce crust must be Less than 40 kilo-pascals, and there must be a thick fluid
Layer below the ice to allow sufficient tidal amplitude.