Singular Points and Singular Curves in von Kármán Elastic Surfaces

Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g., crumpling folding of paper), singular body forces couples, distributions defects dislocations disclinations), metric anomaly growth thermal strains). With such concerns as our motivation, we model von Kármán plates generalize the classical equations, which are restricted smooth fields, piecewise smooth, possibly concentrate curves, addition being points. The inhomogeneous sources given terms plastic strains, defect induced incompatibility, forces, likewise allowed be domain. generalized framework is used discuss nature deformation stress arising due conical deformations, folds, folds terminating a point.