Stress analysis of composite cylindrical shells with an elliptical cutout

Abstract

A special-purpose, semianalytical solution method for determining the stress and deformation fields in a thin, laminated-composite cylindrical shell with an elliptical cutout is presented. The analysis includes the effects of cutout size, shape, and orientation; nonuniform wall thickness; oval cross-sectional eccentricity; and loading conditions. The loading conditions include uniform tension, uniform torsion, and pure bending. The analysis approach is based on the principle of stationary potential energy and uses Lagrange multipliers to relax the kinematic admissibility requirements on the displacement representations through the use of idealized elastic edge restraints. Specifying appropriate stiffness values for the elastic extensional and rotational edge restraints (springs) allows the imposition of the kinematic boundary conditions in an indirect manner, which enables the use of a broader set of functions for representing the displacement fields. Selected results of parametric studies are presented for several geometric parameters that demonstrate that this analysis approach is a powerful means for developing design criteria for laminated-composite shells.

A Numerical–Analytical Approach for the Preliminary Design of Thin-Walled Cylindrical Shell Structures with Elliptical Cut-Outs

“…The numerical-analytical result comparison is reported in Table 7, where a percentage error of 0.7% can be observed. In order to verify the proposed procedure, a comparison against the numerical results from Reference [21] is presented in Figure 21. A quasi-isotropic circular cylindrical shell with circular cut-out, subjected to a uniform tension load, was considered (geometrical parameters are described in Figure 21B) The max stress, normalized by the applied uniform stress resultant, as a function of the position around the cut-out (indicated by the cutout angle β), is shown in Figure 21B.…”

Comparison of Peridynamics and Lattice Dynamics Wave Dispersion Relationships

“…Peridynamic equations of motion are integro-differential equations and they do not contain spatial derivatives as opposed to classical continuum mechanics which uses partial differential equations. As opposed to semi-analytical approaches [2] and finite element methodology, this brings a significant advantage to predict crack initiation and propagation since the displacement field is discontinuous if cracks exist in the structure and spatial derivatives are not defined along the crack surfaces. Moreover, peridynamics is a non-local continuum formulation so that material points inside an influence domain, named horizon, can interact with each other.…”

Buckling of Composite Cylindrical Shells with Circular Cutouts

“…Van Tooren et al [4] investigated the stress field around circular openings in sandwich shells. A semi-analytical procedure for composite cylindrical shells with elliptic cutouts was proposed by Oterkus et al [5].…”