The problem of the inception of cavitation is formulated in terms of a
comparison of the breaking strength or cavitation threshold at each p
oint in a liquid sample with the principal stresses there. A criterion
of maximum tension is proposed which unifies the theory of cavitation
, the theory of maximum tensile strength of liquid filaments and the t
heory of fracture of amorphous solids. Liquids at atmospheric pressure
which cannot withstand tension will cavitate when and where tensile s
tresses due to motion exceed one atmosphere. A cavity will open in the
direction of the maximum tensile stress which is 45 degrees from the
plane of shearing in pure shear of a Newtonian fluid. Experiments whic
h support these ideas are discussed and some new experiments are propo
sed.