Journal of Theoretical
and Applied Mechanics

22, 3-4, pp. 613-620, Warsaw 1984

Zredukowane liniowe równania powłok o wolno zmiennych krzywiznach

Zenon Rychter

The linear Kirchhoff-Love type theory of thin elastic shells with slowly varying curvatures is dealt with. Two simple governing equations in terms of a stress function and a strain funcion are derived, similar to those of shallow and quasi-shallow shells [1-6], with only slightly more complex expressions for the strains, internal forces and the boundary conditions. The equations are considerably reduced as compared to the equations of shells with slowly varying curvatures due to Lukasiewicz [7].