Akademik Veri Yönetim Sistemi
Mechanics of Composite Materials, cilt.62, sa.1, ss.183-199, 2026 (SCI-Expanded, Scopus)
The 3D local stability loss of the eccentric hollow cylinder made of transversely isotropic material was investigated using the 3D linearized theory of stability (TDLTS) of deformable bodies. Local loss of stability refers to the case where the axial and radial displacements of the cylinder in the process of loss of stability are symmetric, and the circular displacement is asymmetric to the axis of symmetry of the cylinder cross-section. To solve the corresponding eigenvalue problem, a method is developed that includes a two-stage mathematical procedure. In the first stage, the solutions of the field equations of the TDLTS of deformable bodies were represented in the form of a Fourier series in the cylindrical coordinate system associated with the central axis of the hole, and this form of solution was used to satisfy the boundary conditions on the surface of the hole. In the second stage, each term of the Fourier series used in the first stage was expanded to the Fourier series in the cylindrical coordinate system associated with the central axis of the cylinder, and with this last expansion, the boundary conditions on the outer surface of the cylinder were satisfied. In order to obtain the numerical results, the corresponding calculation algorithms and PC programs were developed and tested. The numerical results on the critical forces for the different values of the problem parameters were presented and discussed and it was established that the eccentricity of the hollow cylinder leads to a decrease in the values of these forces.