“…represents the components of displacement at a point x i (i=1,2,3), while i u denotes the same for the corresponding point at the mid-surface. Assumptions of shallowness, vanishing geodesic curvatures, transverse inextensibility and the strain displacement relations for a double curved shell, based on first-order deformation theory, are given by The curved shell geometry, illustrated in Figure 2 [13], is described by the coordinates (x 1 , x 1 , x 3 ) and it is subdivided into angular segments with the apex angles ϑ ϕ d , d…”