Point Singularities in Incompatible Elasticity

The equations of stress equilibrium and strain compatibility/incompatibility are discussed for fields with point singularities in a planar domain. sufficiency (or insufficiency) the smooth maps, obtained by restricting singular to domain away from singularities, completely characterizing over entire domain, is established illustrated examples. uniqueness solution problem incompatible linear elasticity, allowing fields, proved. fails when considered solely terms restricted maps. As further applications our framework, general solution, response supported body force defect derived generalized notion acting on developed.