BUCKLING OF ELASTIC-PLASTIC SANDWICH CONICAL SHELLS THEORETICAL STUDIES

摘要

An analysis of elastic-plastic stability of sandwich conical shells is performed. The shells under consideration consist of two load-carrying face-layers and a core layer made of lightweight aerated plastics. The shell faces are made of isotropic, compressible and work-hardening materials. The thickness of those faces may vary, just as their material properties. The core layer is assumed to be elastic, incompressible in the normal z direction and it resists transverse shear only. A two-parametrical external load is assumed. Deformation of the shells into the plastic range is possible before buckling. The Nadai-Hencky deformation theory alongside with the H-M-H (Huber-Mises-Hencky) yield condition constitutive relations are adopted in the analysis. The strain energy approach and the Ritz method are used to derive and solve the stability equations.