On shakedown of elastoplastic shells

Stumpf, Helmut; Le Khanh Chau

doi:10.1090/qam/1134753

Authors: Helmut Stumpf and Le Khanh Chau
Journal: Quart. Appl. Math. 49 (1991), 781-793
MSC: Primary 73K15; Secondary 73E99, 73V25
DOI: https://doi.org/10.1090/qam/1134753
MathSciNet review: MR1134753
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Abstract: An asymptotic theory of adaptation for elastoplastic shells under a variable loading is proposed. The hypothesis of membrane state of an elastic response is used to reduce the three-dimensional variational problems for shakedown factor to two-dimensional ones. The duality and the possibility of algebraization allow the membrane shell shakedown theory to be analytically solvable in many interesting cases. The asymptotic accuracy of the constructed membrane approximation is proved.

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