COLLAPSE, BUCKLING AND POST FAILURE BEHAVIOR OF CYLINDRICAL SHELLS UNDER ELEVATED TEMPERATURE AND DYNAMIC LOADS
J G ENGINEERING RESEARCH ASSOCIATES BALTIMORE MD
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The analytical details of representing the deformation patterns and the method for calculating the energy absorbed and the resulting deflection under normal and elevated temperature conditions due to a given loading are described. In addition to energy and impulse methods of solving the problem a deformation type variational principle is employed to set up the governing nonlinear differential equation for the time dependent deflection in the plastic region. The biaxial stress strain law used for both the normal and elevated temperature cases is an elastic linear hardening law. Of greatest importance in the report is the computation of the energy absorbed or work done by internal forces in the shell for very large plastic deformations. This work or energy can be used to compute the impulse to give a prescribed deformation it can be used to compute the deformation for a given energy input to the shell assuming all of it goes into plastic deformation it can be used to compute static load for a given deformation or it can be used as a design criterion itself.