Nonlinear Buckling of a Cracked Cylinder Under Axial Loading

This paper presents a comprehensive analysis of a nonlinear buckling of a cylinder with a crack with the new regression equation. For this purpose, the effective material properties and geometry parameters are considered. For geometry properties, the length, thickness and diameter for cylinder, the length, location and angle of crack are considered. For material properties, the modulus of elasticity, yield stress and plastic properties are considered. Then using the response surface method, a regression equation for predicting the cylinder s critical buckling load is proposed. To validate the results, some experimental tests are presented and the results show that there is good agreement between the proposed equation and experimental tests. Then the effects of considering parameters on the critical buckling load of the cylinder are investigated. The results show that in low values for thickness the yield stress has a more negligible effect, but for large thickness values, the yield stress has more effect on critical buckling load. Furthermore, the critical crack occurs when the crack locates perpendicular to the direction of the loading. Also, the crack s location and the cylinder s boundary condition are effective parameters on critical buckling load. Because of the interaction effect of material and geometry properties, the material and geometry parameters should be considered simultaneously to predict the critical buckling load.