Large Deflection of Axisymmetric Shell with Creep Strain

by Sheng-Rong Lin, Member of Technical Staff; Aerospace Corp., El Segundo, CA; formerly, Proj. Sci., ARA, Inc., West Covina, CA,
Tung-Hua Lin, (M.ASCE), Consultant; at ARA, Inc., El Segundo, CA, and Prof. of Engrg., Univ. of California, Los Angeles, CA,
Bernard Mazelsky, Pres.; ARA, Inc., West Covina, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 1, Pg. 79-94

Document Type: Journal Paper


A numerical method for analyzing large deflections of shells of revolution under axisymmetric loading with arbitrary creep characteristics is given. Creep strain is treated as an equivalent external loading. Two nonlinear differential equations similar to Reissner's equations are presented and solved by the iterative scheme and the finite difference approximation. The multiaxial stress-strain-time relationship is formulated from the empirical uniaxial curve based on the second deviated stress and strain invariants. Examples are given for a corrugated tube subject to an axial load at an elevated temperature. The results show the nonlinear effects due to finite strain and creep strain. The method shown may also be applied to axisymmetric shells subject to thermal and plastic strains.

Subject Headings: Stress strain relations | Displacement (mechanics) | Axisymmetry | Creep | Strain | Thermal loads | Load factors | Axial loads

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