Jump Conditions in the Non-linear Theory of Thin Irregular Shells

The non-linear theory of thin shell structures with irregularities of geometry, material properties, loading and deformation is developed. The irregular shell is modelled by a reference network being a union of piecewise smooth surfaces and curves, with various fields satisfying relaxed regularity requirements. By transforming the virtual work principle postulated for the entire reference network, we derive the corresponding local field equations and side conditions. Particular attention is paid to formulate the general form of static and kinematic jump conditions at singular geometric and physical curves. Several special kinds of irregularities are considered and some particular forms of the jump conditions are discussed.