cylinders utilising elastic materials of cylindrical anisotropy. The formulation is based on linear three dimensional elasticity using an analytic form for the displacement field. A similar formulation has been used in the study of waves in plates and more recently, by the authors, in homogeneous cylinders. We have now developed the necessary formulas to apply it to cylinders in which the inhom...

Given a set P of n points in three dimensions, a cylindrical shell (or zone cylinder) is formed by two circular cylinders with the same axis such that all points of P are between the two cylinders. We prove that the number of cylindrical shells enclosing P passing through combinatorially different subsets of P has size Ω(n) and O(n) (the previously known bound was O(n)). As a consequence, the m...

Free vibration of layered circular cylindrical shells of variable thickness is studied using spline function approximation by applying a point collocation method. The shell is made up of uniform layers of isotropic or specially orthotropic materials. The equations of motions in longitudinal, circumferential and transverse displacement components, are derived using extension of Love’s first appr...

This paper concerns the Stokes flow of an incompressible viscous fluid past a swarm of porous nanocylindrical particles enclosing a solid cylindrical core with Kuwabara boundary condition. An aggregate of porous nanocylindrical particles is considered as a hydro-dynamically equivalent to a solid cylindrical core with concentric porous cylindrical shell. The Brinkman equation inside the porous c...

This paper discusses the application of random search method for optimal design single-layered reinforced cylindrical shells operating in a neutral environment. When setting mathematical programming problem, minimum shell weight is considered as an objective function. The critical stresses are determined according to linear theory elastic region material. As constraints imposed on feasible regi...

In this paper, an elastic shell model is presented for postbuckling prediction of a long thinwalledcylindrical shell under axial compression. The Ritz method is applied to solve the governingequilibrium equation of a cylindrical shell model based on the von-Karman type nonlinear differentialequations. The postbuckling equilibrium path is obtained using the energy method for a long thin-walledcy...

In this study, free vibration of a foam-core orthotropic smart composite cylindrical shell (SCCS) filled with a non-viscous compressible fluid, subjected to combined electro-thermo-mechanical loads is investigated.  Piezoelectric polymeric cylindrical shell, is made from polyvinylidene fluoride (PVDF) and reinforced by armchair double walled boron nitride nanotubes (DWBNNTs). Characteristics of...

Curls and curves of a shell interweave its various strain modes and link them together. This interactional behavior has yet frustrated all attempts for the construction of shell templates, which needs for an individual element test in traditional approaches. Such a test fails to work for shell elements and must be reconstructed. In this paper, it is tried to study shell interactional behavior a...

Recent developments in medical and dental fields have warranted biomedical objects or implants with desirable properties for biomedical applications. For example, artificial hip joints, tissue scaffolds, and bone and jaw structures are now commonly used in hospitals to assist complex surgical operations, and as specimens for experiments in pharmaceutical manufacturing enterprises. But most biom...