Elasto-Plastic Dynamical Buckling of Circular Cylindrical Thin Shells under Axial Impact.
GENERAL TECHNOLOGY CORP LAWRENCEVILLE N J
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Dynamical motions of a circular cylindrical thin shell simply supported at one end and free to expand in the circumferential and radial direction at the other end are studied under the condition of axial impact. The axial compressions applied exceed the static buckling loads. As the initial conditions, the displacement field and velocity field of circumferential and radial directions are assumed to vanish except the initial axial velocity field of the cylinder. In order to account for the effect of plasticity without unloading on buckling, the second order elastic stress-strain relations are used with simplifications that the effect of the initial axial load on the bending moment is constant. The displacement and stress fields are obtained by solving the dynamical equations of motions under the boundary and initial conditions. The shortening of the shell at any time and the classical static buckling, including the plastic effect, are determined. Author