INELASTIC BUCKLING OF AXISYMMETRIC SHELLS.
NOTRE DAME UNIV IND COLL OF ENGINEERING
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An incremental variational method is presented for the determination of the inelastic load-deformation relationship, as well as the buckling or collapse load for a shell of revolution which is made of a work hardening material and subjected to axisymmetric loadings. A variational principle involving the Kirchhoff stress tensor, the Green strain tensor, and their rates is employed. The isothermal stress-strain relationship based on a modified J2 incremental theory of plasticity is used. A seven sheet sandwich shell idealization and the finite difference method of variational calculus are utilized in a numerical procedure in order to determine discrete velocities and a subsequent deformation process. The buckling loads of a number of elastic and inelastic cylindrical and truncated conical shells as well as inelastic spherical shell caps are determined. The results of the present analysis, obtained numerically by a Univac 1107 digital computer, compare favorably with available experimental data. Author
- Structural Engineering and Building Technology