Defects and metric anomalies in Föppl–von Kármán surfaces

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, interstitials, metric anomalies, thermal growth strains. The theory includes dislocations disclinations whose defect lines can both pierce two-dimensional surface lie within surface. An essential aspect derivation strain incompatibility relations stretching bending strains with sources terms various anomaly densities. are combined balance laws constitutive assumptions obtain inhomogeneous equations shells. Several boundary value problems posed, solved numerically, by first considering only then coupled