  A general framework is developed to study the deformation and stress response
in F{\"o}ppl-von K{\'a}rm{\'a}n shallow shells for a given distribution of
defects, such as dislocations, disclinations, and interstitials, and metric
anomalies, such as thermal and growth strains. The theory includes dislocations
and disclinations whose defect lines can both pierce the two-dimensional
surface and lie within the surface. An essential aspect of the theory is the
derivation of strain incompatibility relations for stretching and bending
strains with incompatibility sources in terms of various defect and metric
anomaly densities. The incompatibility relations are combined with balance laws
and constitutive assumptions to obtain the inhomogeneous F{\"o}ppl-von
K{\'a}rm{\'a}n equations for shallow shells. Several boundary value problems
are posed, and solved numerically, by first considering only dislocations and
then disclinations coupled with growth strains.
