The Large Deformation For Plastic Instability Phenomenon Of The Cylinder Shell Under Uniform Intrinsic Pressure

The cylinder shell is a typical structure. It has been used widely in such fields as petroleum, chemical industry, petrifaction, metallurgy, light industry, astronautics, nuclear power industry, and so on. Especially, the cylinder tank is a pressure vessel used for saving and transporting kinds of gas, liquefied gas and liquid. It is very important to describe the mechanic behavior of the cylinder structure. In the base of security, we can enhance the economic efficiency and excavate the potential bearing ability.The correlated mechanics is the key for designing cylinder tank successfully. This work aimed to analyze the plastic instability and large deformation of the cylinder shell under uniform intrinsic pressure and appraisal the phenomenon of bursting destruction. We used two ways as theory method based on the virtual work principle and mathematical simulation based on finite element analysis to analyze the large deformation and plastic instability in order to get the limit load of the cylinder shell that is named as bursting pressure in the actual projects. The concept and method testing of stress-strain relation through twisting solid spherical shaft were introduced in this work. It made the result more accurately close to the real situation.The problems here were geometrical nonlinear and material nonlinear questions. We get the theoretically solve firstly. In the same time, we designated the different situation to analyze the influence of thickness. Finally we contrast the solves in theory and numerical analysis to guarantee the accuracy of the conclusion. We hope that it can be useful for the real projects.