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See detailConvergent thin-shell models using cartesian components of the displacements
Debongnie, Jean-François ULg

in International Journal of Engineering Science (1986), 24(3), 353-365

Starting from the establishment of a deep-shell theory using cartesian components of the displacements, two simplifications of it are considered in the frame of moderate deflections, in view of their ... [more ▼]

Starting from the establishment of a deep-shell theory using cartesian components of the displacements, two simplifications of it are considered in the frame of moderate deflections, in view of their finite element implementation. The first one, consisting simply of the use of plane elements, is proved to converge to the deep-shell solution when the mesh is refined, and the rate of convergence is evaluated. A more refined approach is presented, which gains one order of convergence from the former one and reduces to the Marguerre shallow-shell theory when this one is applicable, a condition which is made precise in the text. [less ▲]

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See detailPhysical interpretation and generalization of Marguerre's shallow shell theory
Debongnie, Jean-François ULg

in International Journal of Engineering Science (1979), 17(4), 387-399

Marguerre's shallow shell theory is interpreted by the means of the introduction of a "fictitious initial displacement". A logical interpretation of Marguerre's equilibrium equations follows directly from ... [more ▼]

Marguerre's shallow shell theory is interpreted by the means of the introduction of a "fictitious initial displacement". A logical interpretation of Marguerre's equilibrium equations follows directly from this point of view. The introduction of fictitious displacements is easy to generalize, and the case of quasi-conical shells is analyzed in detail. [less ▲]

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