Inelastic Buckling of Axisymmetric Shells

by James C. Hayes, Asst. Prof. of Engrg.; Purdue Univ., North Central Campus, Westville, IN; formerly, Res. Asst., Engrg. Sci. Program, Univ. of Notre Dame, Notre Dame, IN,
Lawrence H. N. Lee, (F.ASCE), Prof.; Dept. of Aerospace and Mech. Engrg., Univ. of Notre Dame, Notre Dame, IN,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 6, Pg. 1107-1123

Document Type: Journal Paper


An incremental variational method is presented for the determination of the inelastic load-deformation relationship, as well as 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 Kirchhoff stress tensor, Green strain tensor, and their rates is employed. The isothermal stress-strain relationship based on a modified J2 incremental theory of plasticity is used. The finite difference method of variational calculus is utilized in a numerical procedure to determine discrete velocities and subsequent deformation process. A comparison of the buckling loads of a number of elastic conical shells and inelastic cylindrical shells obtained by the present approach with available experimental results is made. A reasonable agreement is found.

Subject Headings: Failure loads | Stress strain relations | Inelasticity | Buckling | Axisymmetry | Material failures | Strain rates | Thermal effects

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