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Abstract

Sequential fabrication of expandable structures has been investigated as a class of stability problems. When a system is fabricated in a multistage process, the erection procedure generates a set of geometric and stress boundary conditions which enter the governing equations for the resulting system. The system evolves through a series of unstable configurations until it reaches a final stable state. A systematic approach is presented to model the stress path in the system being fabricated. The proposed algorithm has been discussed for prestressed elastica arches and pre-buckled sandwich arches. A nonlinear finite element method using crotational formulation of a two-node, three-layer sandwich beam element has been developed to model the fabrication process of the arch. The model is then used to predict the buckling and post-buckling behaviour of the sandwich arch.

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A Class of Stability Problems: Sequential Fabrication of Expandable Structures

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