1998/06/03 by Sahraoui Chaieb, Sahraoui Chaı̈eb, Chaieb, Sahraoui +2
Agricultural and Biological Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Polysaccharides Composition and Applications #Structural Analysis and Optimization #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/9806049
35 pages (Revtex), 24 figures (encapsulated postscript), typos corrected and figure replaced
openalex publication_date 1998/06/03 · arxiv created 1998/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
we investigate developable cones (d-cones) topology and mechanical properties. We found that for a sample of a finite thickness the singularity is never pointlike but has a spatial extension in form of a crescent. The variations of the sheet local curvature versus the distance from the d-cone tip for all deformations showed that the d-cone tip is rejected by a distance which depends on the deformation and on the singularity extension. A further deformation of the d-cone leads to a transition to a plastic deformation equivalent to a decrease in the singularity size characterized from curvature and profile analysis. The crescent radius of curvature is measured both at small deformations and at large deformations. It is found that during the buckling process, the curvature of the crescent exhibit two different scaling versus the deformation.From the cone profile, we measured the reaction force of the plate to deformation and from force measurements, the energy necessary to create the singularity is characterized.