The mineral zircon has particular geological significance because of i
ts use in the age determination of rocks and as a structural analogue
phase for radioactive waste forms. Despite its widespread utility, how
ever, radiation damage of the crystal structure (metamictization) caus
es a volume expansion of the crystal lattice and the generation of int
ernal stresses which can induce fractures in the crystal. A model has
been developed which describes the state of stress in n concentric sph
erical shells, each of which may have different material properties; t
he case of a three-shelled composite sphere has been examined explicit
ly. In combination with fracture mechanics theory, the model predicts
that spatially distinct radial and/or concentric fracture sets can be
produced, and such fracture patterns accurately describe the distribut
ion and types of self-induced fractures observed in natural zircons. I
n general, the formation of such microfractures in zircon is a functio
n of the degree of metamictization, shell thickness, and the confining
pressure. The model predicts that the maximum depths in the Earth's c
rust at which radial versus concentric fractures can form in a crystal
are different, suggesting that the types of fractures found in a suit
e of zircons from a particular rock might be potential indicators of t
he depth of burial. Because metamictization-induced fractures may serv
e as potential pathways for the rapid leaching of various elements fro
m the zircon crystal, this may also have important implications in int
erpreting the U/Pb ages of fractured zircons or in evaluating the suit
ability of related crystalline phases as hosts for nuclear waste.