Effect of Vertex Angle on Elastic-Plastic Stability of a Steel Open Conical Shell
محورهای موضوعی : Engineering
1 - Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University,
Tehran, Iran
کلید واژه: Buckling, Conical shell, Elstic-plastic, Stability, deformation,
چکیده مقاله :
In this paper, the stability of a conical shell panel in elastic-plastic domain is considered. The shell is made of an isotropic material (316L steel) with linear work hardening behavior. The shell is placed on simply supported end constraints and the acting loads are in the form of longitudinal compressive force and lateral pressure. The incremental Prandtl-Reuss plastic flow theory and von Mises yield criterion are used in the analysis. The problem is formulated based on classical shell theory and nonlinear geometrical strain-displacement relations are assumed. The stability equations are derived using the principle of the stationary potential energy. Using Ritz method the equations are solved and the numerical results obtained for different values of semi vertex and subtended angles. The obtained results show that there is a distinct semi vertex angle in which the shell has the best stability conditions. Also, there will be a limiting condition for the semi vertex angels beyond which the instability will not occur.
[1] Bushnell D., 1982, Plastic buckling of various shells, Jornal of Pressure Vessel Technology 104: 51-72.
[2] Jaskula L., Zielnica J., 2011, Large displacement stability analysis of elastic-plastic unsymmetrical sandwich cylindrical shells, Thin-walled Structures 49: 611-617.
[3] Kouchakzadeh M.A., Shakouri M., 2015, Analytical solution for axisymmetric buckling of joined conical shells under axial compression, Structural Engineering and Mechanics 54(4): 649-664.
[4] Lee W.S., Lin C.F., Liu T.J., 2006, Strain rate dependence of impact properties of sintered 316L stainless steel, Journal of Nuclear Materials 359: 247-257.
[5] Naderi A.A., Rahimi G.H., Arefi M., 2014, Influence of fiber paths on buckling load of tailored conical shells, Steel & Composite Structures 16(4): 375-387.
[6] Paczos P., Zielnica J., 2008, Stability of orthotropic elastic–plastic open conical shells, Thin-Walled Structures 46: 530-540.
[7] Shakouri M., Spagnoli A., Kouchakzadeh M.A., 2016, Effects of imperfection shapes on buckling of conical shells under compression, Structural Engineering and Mechanics 60(3): 365-386.
[8] Soedel W., 2004, Vibrations of Shells and Plates, Marcel Dekker Inc., New York, USA.
[9] Washizu K., 1975, Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford, UK.
[10] Zielnica J., 1981, Elastic plastic buckling of sandwich conical shells under axial compression, Bulletin de l'Académie Polonaise des Sciences / Série des Sciences Techniques 29: 239-251.
[11] Zielnica J., 2003, Non-linear stability of elastic–plastic conical shell under combined load, Journal of Theoretical and Applied Mechanics 41: 693-709.
[12] Zielnica J., 2012, Buckling and stability of elastic-plastic sandwich conical shells, Steel & Composite Structures 13(2): 157-169.
